-
1
-
-
0003796913
-
-
2nd Edn., Advanced Book Classics, Redwood City: Addison-Wesley
-
Atiyah M. F.: K-Theory. 2nd edn., Advanced Book Classics. Addison-Wesley, Redwood City (1989).
-
(1989)
K-Theory
-
-
Atiyah, M.F.1
-
2
-
-
67650592439
-
K-theory and reality
-
Atiyah M. F.: K-theory and reality. Q. J. Math. Oxford Ser. 17(2), 367-386 (1966).
-
(1966)
Q. J. Math. Oxford Ser.
, vol.17
, Issue.2
, pp. 367-386
-
-
Atiyah, M.F.1
-
5
-
-
84860123957
-
Clifford modules and symmetries of topological insulators
-
Abramovici, G., Kalugin, P.: Clifford modules and symmetries of topological insulators. Int. J. Geomet. Methods Mod. Phys. 9(03) (2012). http://arxiv. org/abs/arXiv: 1101. 1054v2.
-
(2012)
Int. J. Geomet. Methods Mod. Phys.
, vol.9
, Issue.3
-
-
Abramovici, G.1
Kalugin, P.2
-
6
-
-
33947411079
-
Twisted K-theory
-
Atiyah, M., Segal, G.: Twisted K-theory. Ukr. Mat. Visn. 1(3), 287-330 (2004). http://arxiv. org/abs/arXiv: math/0407054.
-
(2004)
Ukr. Mat. Visn.
, vol.1
, Issue.3
, pp. 287-330
-
-
Atiyah, M.1
Segal, G.2
-
7
-
-
0000023684
-
Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures
-
doi: 10. 1103/PhysRevB. 55. 1142
-
Altland, A., Zirnbauer, M. R.: Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures. Phys. Rev. B 55, 1142-1161 (1997). doi: 10. 1103/PhysRevB. 55. 1142.
-
(1997)
Phys. Rev. B
, vol.55
, pp. 1142-1161
-
-
Altland, A.1
Zirnbauer, M.R.2
-
8
-
-
0036019243
-
Twisted K-theory and K-theory of bundle gerbes
-
doi: 10. 1007/s002200200646
-
Bouwknegt, P., Carey, A. L., Mathai, V., Murray, M. K., Stevenson, D.: Twisted K-theory and K-theory of bundle gerbes. Comm. Math. Phys. 228(1), 17-45 (2002). doi: 10. 1007/s002200200646. http://arxiv. org/abs/arXiv: hep-th/0106194.
-
(2002)
Comm. Math. Phys.
, vol.228
, Issue.1
, pp. 17-45
-
-
Bouwknegt, P.1
Carey, A.L.2
Mathai, V.3
Murray, M.K.4
Stevenson, D.5
-
10
-
-
36149015405
-
Theory of Brillouin Zones and Symmetry Properties of Wave Functions in Crystals
-
doi: 10. 1103/PhysRev. 50. 58
-
Bouckaert, L. P., Smoluchowski, R., Wigner, E.: Theory of Brillouin Zones and Symmetry Properties of Wave Functions in Crystals. Phys. Rev. 50, 58-67 (1936). doi: 10. 1103/PhysRev. 50. 58.
-
(1936)
Phys. Rev.
, vol.50
, pp. 58-67
-
-
Bouckaert, L.P.1
Smoluchowski, R.2
Wigner, E.3
-
11
-
-
0003334303
-
-
(Princeton, NJ, 1996/1997), Am. Math. Soc., Providence, RI
-
Deligne, P.: Notes on spinors, Quantum Fields and Strings: a course for mathematicians, vol. 1, 2, pp. 99-135. (Princeton, NJ, 1996/1997), Am. Math. Soc., Providence, RI (1999).
-
(1999)
Notes on spinors, Quantum Fields and Strings: A course for mathematicians
, vol.1-2
, pp. 99-135
-
-
Deligne, P.1
-
12
-
-
0003444031
-
-
(eds.), American Mathematical Society, Providence, RI. Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton (1996-1997)
-
Deligne, P., Etingof, P., Freed, D. S., Jeffrey, L. C., Kazhdan, D., Morgan, J. W., Morrison, D. R., Witten, E. (eds.): Quantum fields and strings: a course for mathematicians, vol. 1, 2, American Mathematical Society, Providence, RI (1999). Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton (1996-1997).
-
(1999)
Quantum fields and strings: A course for mathematicians
, vol.1-2
-
-
Deligne, P.1
Etingof, P.2
Freed, D.S.3
Jeffrey, L.C.4
Kazhdan, D.5
Morgan, J.W.6
Morrison, D.R.7
Witten, E.8
-
13
-
-
0003357948
-
Classical field theory
-
(Princeton, NJ, 1996/1997), Am. Math. Soc., Providence, RI
-
Deligne, P., Freed, D. S.: Classical field theory. Quantum fields and strings: a course for mathematicians, vol. 1, 2, pp. 137-225. (Princeton, NJ, 1996/1997), Am. Math. Soc., Providence, RI (1999).
-
(1999)
Quantum fields and strings: A course for mathematicians
, vol.1-2
, pp. 137-225
-
-
Deligne, P.1
Freed, D.S.2
-
14
-
-
0003444031
-
Sign manifesto
-
(Princeton, NJ, 1996/1997), Am. Math. Soc., Providence, RI
-
Deligne, P., Freed, D. S.: Sign manifesto. Quantum fields and strings: a course for mathematicians, vol. 1, 2, pp. 357-363. (Princeton, NJ, 1996/1997), Am. Math. Soc., Providence, RI (1999).
-
(1999)
Quantum fields and strings: A course for mathematicians
, vol.1-2
, pp. 357-363
-
-
Deligne, P.1
Freed, D.S.2
-
16
-
-
0141925778
-
Notes on supersymmetry (following Joseph Bernstein)
-
(Princeton, NJ, 1996/1997), Am. Math. Soc., Providence
-
Deligne, P., Morgan, J. W.: Notes on supersymmetry (following Joseph Bernstein). Quantum fields and strings: a course for mathematicians, vol. 1, 2, pp. 41-97. (Princeton, NJ, 1996/1997), Am. Math. Soc., Providence (1999).
-
(1999)
Quantum fields and strings: A course for mathematicians
, vol.1-2
, pp. 41-97
-
-
Deligne, P.1
Morgan, J.W.2
-
17
-
-
0001755436
-
The threefold way. Algebraic structure of symmetry groups and ensembles in quantum mechanics
-
Dyson Freeman J.: The threefold way. Algebraic structure of symmetry groups and ensembles in quantum mechanics. J. Math. Phys. 3, 1199-1215 (1962).
-
(1962)
J. Math. Phys.
, vol.3
, pp. 1199-1215
-
-
Dyson, F.J.1
-
18
-
-
65549133453
-
Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
-
146805
-
Essin, A. M., Moore, J. E., Vanderbilt, D.: Magnetoelectric polarizability and axion electrodynamics in crystalline insulators. Phys. Rev. Lett. 102, 146805 (2009). http://arxiv. org/abs/arXiv: 0810. 2998.
-
(2009)
Phys. Rev. Lett.
, vol.102
-
-
Essin, A.M.1
Moore, J.E.2
Vanderbilt, D.3
-
19
-
-
77955765459
-
Orbital magnetoelectric coupling in band insulators
-
205104
-
Essin, A. M., Turner, A. M., Moore, J. E., Vanderbilt, D.: Orbital magnetoelectric coupling in band insulators. Phys. Rev. B 81, 205104 (2010). http://arxiv. org/abs/arXiv: 1002. 0290.
-
(2010)
Phys. Rev. B
, vol.81
-
-
Essin, A.M.1
Turner, A.M.2
Moore, J.E.3
Vanderbilt, D.4
-
20
-
-
79961067002
-
Topological phases of fermions in one dimension
-
doi: 10. 1103/PhysRevB. 83. 075103, 075103
-
Fidkowski, L., Kitaev, A.: Topological phases of fermions in one dimension. Phys. Rev. B 83, 075103 (2011). doi: 10. 1103/PhysRevB. 83. 075103, http://arxiv. org/abs/arXiv: 1008. 4138.
-
(2011)
Phys. Rev. B
, vol.83
-
-
Fidkowski, L.1
Kitaev, A.2
-
21
-
-
77955218335
-
Effects of interactions on the topological classification of free fermion systems
-
doi: 10. 1103/PhysRevB. 81. 134509, 134509
-
Fidkowski, L., Kitaev, A.: Effects of interactions on the topological classification of free fermion systems. Phys. Rev. B 81, 134509 (2010). doi: 10. 1103/PhysRevB. 81. 134509, http://arxiv. org/abs/arXiv: 0904. 2197.
-
(2010)
Phys. Rev. B
, vol.81
-
-
Fidkowski, L.1
Kitaev, A.2
-
22
-
-
85002660496
-
Perturbative algebraic quantum field theory
-
Fredenhagen, K., Rejzner, K.: Perturbative algebraic quantum field theory. http://arxiv. org/abs/arXiv: 1208. 1428.
-
-
-
Fredenhagen, K.1
Rejzner, K.2
-
23
-
-
84934894498
-
On Wigner's theorem. Proceedings of the Freedman Fest
-
In: Vyacheslav, K., Rob, K., Zhenghan, W. (eds.), Mathematical Sciences Publishers
-
Freed, D. S.: On Wigner's theorem. Proceedings of the Freedman Fest. In: Vyacheslav, K., Rob, K., Zhenghan, W. (eds.), Geometry & Topology Monographs, vol. 18, pp. 83-89. Mathematical Sciences Publishers (2012). http://arxiv. org/abs/arXiv: 1112. 2133.
-
(2012)
Geometry & Topology Monographs
, vol.18
, pp. 83-89
-
-
Freed, D.S.1
-
24
-
-
0001199161
-
Classical Chern-Simons theory
-
Freed, D. S.: Classical Chern-Simons theory. I. Adv. Math. 113(2), 237-303 (1995). http://arxiv. org/abs/arXiv: hep-th/9206021.
-
(1995)
I. Adv. Math.
, vol.113
, Issue.2
, pp. 237-303
-
-
Freed, D.S.1
-
25
-
-
84886596760
-
Lectures on twisted K-theory and orientifolds
-
June, Notes from graduate workshop "K-theory and quantum fields"
-
Freed, D. S.: Lectures on twisted K-theory and orientifolds. June. http://www. ma. utexas. edu/users/dafr/ESI. pdf. Notes from graduate workshop "K-theory and quantum fields" (2012).
-
(2012)
-
-
Freed, D.S.1
-
26
-
-
84055189287
-
Loop groups and twisted K-theory I
-
Freed, D. S., Hopkins, M. J., Teleman, C.: Loop groups and twisted K-theory I. J. Topol. 4, 737-798 (2011). http://arxiv. org/abs/arXiv: 0711. 1906.
-
(2011)
J. Topol.
, vol.4
, pp. 737-798
-
-
Freed, D.S.1
Hopkins, M.J.2
Teleman, C.3
-
27
-
-
80051775836
-
Loop groups and twisted K-theory III
-
Freed, D. S., Hopkins, M. J., Teleman, C.: Loop groups and twisted K-theory III. Ann. Math. 174(2), 974-1007 (2011). http://arxiv. org/abs/arXiv: math/0511232.
-
(2011)
Ann. Math.
, vol.174
, Issue.2
, pp. 974-1007
-
-
Freed, D.S.1
Hopkins, M.J.2
Teleman, C.3
-
28
-
-
79961064524
-
Projective ribbon permutation statistics: A remnant of non-Abelian braiding in higher dimensions
-
115132, doi: 10. 1103/PhysRevB. 83. 115132
-
Freedman, M., Hastings, M. B., Nayak, C., Qi, X.-L., Walker, K., Wang, Z.: Projective ribbon permutation statistics: A remnant of non-Abelian braiding in higher dimensions. Phys. Rev. B 83, 115132 (2011). doi: 10. 1103/PhysRevB. 83. 115132, http://arxiv. org/abs/arXiv: 1005. 0583v4.
-
(2011)
Phys. Rev. B
, vol.83
-
-
Freedman, M.1
Hastings, M.B.2
Nayak, C.3
Qi, X.-L.4
Walker, K.5
Wang, Z.6
-
29
-
-
34347373900
-
Topological insulators with inversion symmetry
-
045302, doi: 10. 1103/PhysRevB. 76. 045302
-
Fu, L., Kane, C. L.: Topological insulators with inversion symmetry. Phys. Rev. B 76, 045302 (2007). doi: 10. 1103/PhysRevB. 76. 045302, http://arxiv. org/abs/arXiv: cond-mat/0611341.
-
(2007)
Phys. Rev. B
, vol.76
-
-
Fu, L.1
Kane, C.L.2
-
30
-
-
33847795859
-
Topological insulators in three dimensions
-
106803, doi: 10. 1103/PhysRevLett. 98. 106803
-
Fu, L., Kane, C. L., Mele, E. J.: Topological insulators in three dimensions. Phys. Rev. Lett. 98, 106803 (2007). doi: 10. 1103/PhysRevLett. 98. 106803, http://arxiv. org/abs/arXiv: cond-mat/0607699.
-
(2007)
Phys. Rev. Lett.
, vol.98
-
-
Fu, L.1
Kane, C.L.2
Mele, E.J.3
-
32
-
-
27144492596
-
Stability of Fermi Surfaces and K Theory
-
016405, doi: 10. 1103/PhysRevLett. 95. 016405
-
Hořava, P.: Stability of Fermi Surfaces and K Theory. Phys. Rev. Lett. 95, 016405 (2005). doi: 10. 1103/PhysRevLett. 95. 016405, http://arxiv. org/abs/arXiv: hep-th/0503006.
-
(2005)
Phys. Rev. Lett.
, vol.95
-
-
Hořava, P.1
-
33
-
-
0000783193
-
Model for a quantum hall effect without landau levels: condensed-matter realization of the "parity anomaly"
-
doi: 10. 1103/PhysRevLett. 61. 2015
-
Haldane, F. D. M.: Model for a quantum hall effect without landau levels: condensed-matter realization of the "parity anomaly". Phys. Rev. Lett. 61, 2015-2018 (1988). doi: 10. 1103/PhysRevLett. 61. 2015.
-
(1988)
Phys. Rev. Lett.
, vol.61
, pp. 2015-2018
-
-
Haldane, F.D.M.1
-
34
-
-
21344440019
-
Symmetry classes of disordered fermions
-
doi: 10. 1007/s00220-005-1330-9
-
Heinzner, P., Huckleberry, A., Zirnbauer, M. R.: Symmetry classes of disordered fermions. Comm. in Math. Phys. 257(3), 725-771 (2005). doi: 10. 1007/s00220-005-1330-9, http://arxiv. org/abs/arXiv: math-ph/0411040.
-
(2005)
Comm. in Math. Phys.
, vol.257
, Issue.3
, pp. 725-771
-
-
Heinzner, P.1
Huckleberry, A.2
Zirnbauer, M.R.3
-
35
-
-
78349239882
-
Colloquium: Topological insulators
-
doi: 10. 1103/RevModPhys. 82. 3045
-
Hasan, M. Z., Kane, C. L.: Colloquium: Topological insulators. Rev. Mod. Phys. 82, 3045-3067 (2010). doi: 10. 1103/RevModPhys. 82. 3045, http://arxiv. org/abs/arXiv: 1002. 3895.
-
(2010)
Rev. Mod. Phys.
, vol.82
, pp. 3045-3067
-
-
Hasan, M.Z.1
Kane, C.L.2
-
36
-
-
84886585646
-
Three-Dimensional Topological Insulators
-
Hasan, M. Z, Moore, J. E.: Three-Dimensional Topological Insulators. http://arxiv. org/abs/arXiv: 1011. 5462v1.
-
-
-
Hasan, M.Z.1
Moore, J.E.2
-
37
-
-
65649108305
-
Periodic table for topological insulators and superconductors
-
doi: 10. 1063/1. 3149495
-
Kitaev, A.: Periodic table for topological insulators and superconductors. AIP Conf. Proc. 1134, 22-30 (2009). doi: 10. 1063/1. 3149495, http://arxiv. org/abs/0901. 2686.
-
(2009)
AIP Conf. Proc.
, vol.1134
, pp. 22-30
-
-
Kitaev, A.1
-
38
-
-
54349094545
-
The quantum spin hall effect: theory and experiment
-
031007, doi: 10. 1143/JPSJ. 77. 031007
-
Konig, M., Buhmann, H., Molenkamp, L. W., Hughes, T. L., Liu, C.-X., et al.: The quantum spin hall effect: theory and experiment. J. Phys. Soc. Jpn. 77, 031007 (2008). doi: 10. 1143/JPSJ. 77. 031007, http://arxiv. org/abs/arXiv: 0801. 0901.
-
(2008)
J. Phys. Soc. Jpn.
, vol.77
-
-
Konig, M.1
Buhmann, H.2
Molenkamp, L.W.3
Hughes, T.L.4
Liu, C.-X.5
-
39
-
-
28844477796
-
Quantum spin hall effect in graphene
-
226801, doi: 10. 1103/PhysRevLett. 95. 226801
-
Kane, C. L., Mele, E. J.: Quantum spin hall effect in graphene. Phys. Rev. Lett. 95, 226801 (2005). doi: 10. 1103/PhysRevLett. 95. 226801.
-
(2005)
Phys. Rev. Lett.
, vol.95
-
-
Kane, C.L.1
Mele, E.J.2
-
40
-
-
28844477210
-
2 Topological order and the quantum spin hall effect
-
146802, doi: 10. 1103/PhysRevLett. 95. 146802
-
2 Topological order and the quantum spin hall effect. Phys. Rev. Lett. 95, 146802 (2005). doi: 10. 1103/PhysRevLett. 95. 146802.
-
(2005)
Phys. Rev. Lett.
, vol.95
-
-
Kane, C.L.1
Mele, E.J.2
-
41
-
-
84886589633
-
Symmetry protected topological orders and the cohomology class of their symmetry group
-
Liu, Z. X., Wen, X. G., Chen, X., Gu, Z. C.: Symmetry protected topological orders and the cohomology class of their symmetry group. http://arxiv. org/abs/1106. 4772.
-
-
-
Liu, Z.X.1
Wen, X.G.2
Chen, X.3
Gu, Z.C.4
-
42
-
-
35949040890
-
The topological theory of defects in ordered media
-
doi: 10. 1103/RevModPhys. 51. 591
-
Mermin, N. D.: The topological theory of defects in ordered media. Rev. Mod. Phys. 51, 591-648 (1979). doi: 10. 1103/RevModPhys. 51. 591.
-
(1979)
Rev. Mod. Phys.
, vol.51
, pp. 591-648
-
-
Mermin, N.D.1
-
43
-
-
33947696243
-
Topological invariants of time-reversal-invariant band structures
-
121306, doi: 10. 1103/PhysRevB. 75. 121306
-
Moore, J. E., Balents, L.: Topological invariants of time-reversal-invariant band structures. Phys. Rev. B 75, 121306 (2007). doi: 10. 1103/PhysRevB. 75. 121306, http://arxiv. org/abs/arXiv: cond-mat/0607314.
-
(2007)
Phys. Rev. B
, vol.75
-
-
Moore, J.E.1
Balents, L.2
-
44
-
-
84879748390
-
Morse theory. Based on lecture notes
-
Spivak, M., Wells, R. Annals of Mathematics Studies, No 51. Princeton University Press, Princeton
-
Milnor, J.: Morse theory. Based on lecture notes. Spivak, M., Wells, R. Annals of Mathematics Studies, No 51. Princeton University Press, Princeton (1963).
-
(1963)
-
-
Milnor, J.1
-
45
-
-
84886593713
-
Quantum symmetries and K-theory
-
Notes from St. Ottilien lectures
-
Moore, G. W.: Quantum symmetries and K-theory. http://www. physics. rutgers. edu/users/gmoore/QuantumSymmetryKTheory-Part1. pdf. Notes from St. Ottilien lectures (2012).
-
(2012)
-
-
Moore, G.W.1
-
46
-
-
0001750989
-
Bundle gerbes
-
Murray, M. K.: Bundle gerbes. J. Lond. Math. Soc. (2) 54(2), 403-416 (1996). http://arxiv. org/abs/arXiv: dg-ga/9407015.
-
(1996)
J. Lond. Math. Soc. (2)
, vol.54
, Issue.2
, pp. 403-416
-
-
Murray, M.K.1
-
47
-
-
57249108445
-
Topological field theory of time-reversal invariant insulators
-
195424, doi: 10. 1103/PhysRevB. 78. 195424
-
Qi, X.-L., Hughes, T. L., Zhang, S.-C.: Topological field theory of time-reversal invariant insulators. Phys. Rev. B 78, 195424 (2008). doi: 10. 1103/PhysRevB. 78. 195424, http://arxiv. org/abs/arXiv: 0802. 3537.
-
(2008)
Phys. Rev. B
, vol.78
-
-
Qi, X.-L.1
Hughes, T.L.2
Zhang, S.-C.3
-
48
-
-
80054934761
-
Topological insulators and superconductors
-
doi: 10. 1103/RevModPhys. 83. 1057
-
Qi, X.-L., Zhang, S.-C.: Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057-1110 (2011). doi: 10. 1103/RevModPhys. 83. 1057, http://arxiv. org/abs/arXiv: 1008. 2026.
-
(2011)
Rev. Mod. Phys.
, vol.83
, pp. 1057-1110
-
-
Qi, X.-L.1
Zhang, S.-C.2
-
49
-
-
67649395962
-
2 classification of quantum spin Hall systems: An approach using time-reversal invariance
-
195321, doi: 10. 1103/PhysRevB. 79. 195321
-
2 classification of quantum spin Hall systems: An approach using time-reversal invariance. Phys. Rev. B 79, 195321 (2009). doi: 10. 1103/PhysRevB. 79. 195321.
-
(2009)
Phys. Rev. B
, vol.79
-
-
Roy, R.1
-
50
-
-
67649407761
-
Topological phases and the quantum spin Hall effect in three dimensions
-
195322, doi: 10. 1103/PhysRevB. 79. 195322
-
Roy, R.: Topological phases and the quantum spin Hall effect in three dimensions. Phys. Rev. B 79, 195322 (2009). doi: 10. 1103/PhysRevB. 79. 195322.
-
(2009)
Phys. Rev. B
, vol.79
-
-
Roy, R.1
-
51
-
-
70350029871
-
Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
-
Roy, R.: Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect. http://arxiv. org/abs/arXiv: cond-mat/0607531v3.
-
-
-
Roy, R.1
-
52
-
-
0003687441
-
Methods of Modern Mathematical Physics
-
I. Second ed., Academic Press Inc. [Harcourt Brace Jovanovich Publishers], New York,. Functional analysis
-
Reed, M., Simon, B.: Methods of Modern Mathematical Physics. I. Second ed., Academic Press Inc. [Harcourt Brace Jovanovich Publishers], New York,. Functional analysis (1980).
-
(1980)
-
-
Reed, M.1
Simon, B.2
-
53
-
-
77954827546
-
Topological insulators and superconductors: Tenfold way and dimensional hierarchy
-
065010
-
Ryu, S., Schnyder, A. P., Furusaki, A., Ludwig, A. W. W.: Topological insulators and superconductors: Tenfold way and dimensional hierarchy. New J. Phys. 12, 065010 (2010). http://arxiv. org/abs/arXiv: 0912. 2157.
-
(2010)
New J. Phys.
, vol.12
-
-
Ryu, S.1
Schnyder, A.P.2
Furusaki, A.3
Ludwig, A.W.W.4
-
54
-
-
78751556726
-
Symmetries, dimensions and topological insulators: the mechanism behind the face of the Bott clock
-
045001, 18, doi: 10. 1088/1751-8113/44/4/045001
-
Stone, M., Chiu, C.-K., Roy, A.: Symmetries, dimensions and topological insulators: the mechanism behind the face of the Bott clock, J. Phys. A 44(4), 045001, 18 (2011). doi: 10. 1088/1751-8113/44/4/045001, http://arxiv. org/abs/arXiv: 1005. 3213.
-
(2011)
J. Phys. A
, vol.44
, Issue.4
-
-
Stone, M.1
Chiu, C.-K.2
Roy, A.3
-
56
-
-
84886584324
-
Classification of Topological Insulators and Superconductors
-
Schnyder, A. P., Ryu, S., Furusaki, A., Ludwig, A. W. W.: Classification of Topological Insulators and Superconductors. http://arxiv. org/abs/arXiv: 0905. 2029v1.
-
-
-
Schnyder, A.P.1
Ryu, S.2
Furusaki, A.3
Ludwig, A.W.W.4
-
57
-
-
57249110726
-
Classification of topological insulators and superconductors in three spatial dimensions
-
195125, doi: 10. 1103/PhysRevB. 78. 195125
-
Schnyder, A. P., Ryu, S., Furusaki, A., Ludwig, A. W. W.: Classification of topological insulators and superconductors in three spatial dimensions. Phys. Rev. B 78, 195125 (2008). doi: 10. 1103/PhysRevB. 78. 195125, http://arxiv. org/abs/arXiv: 0803. 2786.
-
(2008)
Phys. Rev. B
, vol.78
-
-
Schnyder, A.P.1
Ryu, S.2
Furusaki, A.3
Ludwig, A.W.W.4
-
58
-
-
0000509597
-
A convenient category of topological spaces
-
Steenrod N. E.: A convenient category of topological spaces. Mich. Math. J. 14, 133-152 (1967).
-
(1967)
Mich. Math. J.
, vol.14
, pp. 133-152
-
-
Steenrod, N.E.1
-
59
-
-
77957709555
-
Topological defects and gapless modes in insulators and superconductors
-
115120, doi: 10. 1103/PhysRevB. 82. 115120
-
Teo, J. C. Y., Kane, C. L.: Topological defects and gapless modes in insulators and superconductors. Phys. Rev. B 82, 115120 (2010). doi: 10. 1103/PhysRevB. 82. 115120.
-
(2010)
Phys. Rev. B
, vol.82
-
-
Teo, J.C.Y.1
Kane, C.L.2
-
60
-
-
3442880129
-
Quantized hall conductance in a two-dimensional periodic potential
-
doi: 10. 1103/PhysRevLett. 49. 405
-
Thouless, D. J., Kohmoto, M., Nightingale, M. P., den Nijs, M.: Quantized hall conductance in a two-dimensional periodic potential. Phys. Rev. Lett. 49, 405-408 (1982). doi: 10. 1103/PhysRevLett. 49. 405.
-
(1982)
Phys. Rev. Lett.
, vol.49
, pp. 405-408
-
-
Thouless, D.J.1
Kohmoto, M.2
Nightingale, M.P.3
den Nijs, M.4
-
61
-
-
14544273192
-
Twisted K-theory of differentiable stacks
-
doi: 10. 1016/j. ansens. 2004. 10. 002
-
Tu, J.-L., Xu, P., Laurent-Gengoux, C.: Twisted K-theory of differentiable stacks. Ann. Sci. École Norm. Sup. (4) 37(6), 841-910 (2004). doi: 10. 1016/j. ansens. 2004. 10. 002, http://arxiv. org/abs/arXiv: math/0306138.
-
(2004)
Ann. Sci. École Norm. Sup. (4)
, vol.37
, Issue.6
, pp. 841-910
-
-
Tu, J.-L.1
Xu, P.2
Laurent-Gengoux, C.3
-
62
-
-
84884015096
-
Quantized response and topology of insulators with inversion symmetry
-
Turner, A. M., Zhang, Y., Mong, R. S. K., Vishwanath, A.: Quantized response and topology of insulators with inversion symmetry. http://arxiv. org/abs/arXiv: 1010. 4335v2.
-
-
-
Turner, A.M.1
Zhang, Y.2
Mong, R.S.K.3
Vishwanath, A.4
-
63
-
-
0000130335
-
Graded Brauer groups
-
Wall, C. T. C.: Graded Brauer groups. J. Reine Angew. Math. 213, 187-199 (1963/1964).
-
(1963)
J. Reine Angew. Math.
, vol.213
, pp. 187-199
-
-
Wall, C.T.C.1
-
64
-
-
0003684962
-
The quantum theory of fields
-
Cambridge University Press, Cambridge, Foundations
-
Weinberg, S.: The quantum theory of fields. Vol. I. Cambridge University Press, Cambridge, Foundations (2005).
-
(2005)
, vol.I
-
-
Weinberg, S.1
-
65
-
-
84857761838
-
Symmetry-protected topological phases in noninteracting fermion systems
-
085103, doi: 10. 1103/PhysRevB. 85. 085103, [cond-mat. mes-hall]
-
Wen, X.-G.: Symmetry-protected topological phases in noninteracting fermion systems. Phys. Rev. B 85, 085103 (2012). doi: 10. 1103/PhysRevB. 85. 085103, http://arxiv. org/abs/arXiv: 1111. 6341 [cond-mat. mes-hall].
-
(2012)
Phys. Rev. B
, vol.85
-
-
Wen, X.-G.1
-
66
-
-
0007038660
-
Group theory: and its application to the quantum mechanics of atomic spectra
-
Expanded and improved ed. Translated from the German by J. J. Griffin, Academic Press, New York
-
Wigner, E. P.: Group theory: and its application to the quantum mechanics of atomic spectra. Expanded and improved ed. Translated from the German by J. J. Griffin. Pure and Applied Physics, vol. 5, Academic Press, New York (1959).
-
(1959)
Pure and Applied Physics
, vol.5
-
-
Wigner, E.P.1
-
67
-
-
77955077552
-
Equivalent topological invariants of topological insulators
-
065007
-
Wang, Z., Qi, X.-L., Zhang, S.-C.: Equivalent topological invariants of topological insulators. New J. Phys. 12, 065007 (2010). http://arxiv. org/abs/arXiv: 0910. 5954.
-
(2010)
New J. Phys.
, vol.12
-
-
Wang, Z.1
Qi, X.-L.2
Zhang, S.-C.3
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