메뉴 건너뛰기




Volumn 217, Issue 1, 2001, Pages 55-87

Twisted index theory on good orbifolds, II: Fractional quantum numbers

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035529342     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200000351     Document Type: Article
Times cited : (38)

References (33)
  • 1
    • 0003319234 scopus 로고
    • Mathematical methods of classical mechanics
    • Berlin-Heidelberg-New York: Springer
    • [Arn] Arnold, V.I.: Mathematical methods of classical mechanics. Graduate Texts in Mathematics, Vol. 60, Berlin-Heidelberg-New York: Springer, 1978
    • (1978) Graduate Texts in Mathematics , vol.60
    • Arnold, V.I.1
  • 3
    • 0002830401 scopus 로고
    • Adiabatic theorems and applications to the integer quantum Hall effect
    • [Av+S+Y] Avron, J., Seiler, R., Yaffe, I.: Adiabatic theorems and applications to the integer quantum Hall effect. Commun. Math. Phys. 110, 33-49 (1987)
    • (1987) Commun. Math. Phys. , vol.110 , pp. 33-49
    • Avron, J.1    Seiler, R.2    Yaffe, I.3
  • 4
    • 0000786020 scopus 로고
    • Chern Character for discrete groups
    • San Diego, CA: Academic Press
    • [BC] Baum, P. and Connes, A.: Chern Character for discrete groups. In: A fete of Topology. San Diego, CA: Academic Press: 1988, pp. 163-232
    • (1988) A Fete of Topology , pp. 163-232
    • Baum, P.1    Connes, A.2
  • 5
    • 0000952210 scopus 로고
    • Classifying space for proper actions and K-theory of group C*-algebras
    • [BCH] Baum, P., Connes, A. and Higson, N.: Classifying space for proper actions and K-theory of group C*-algebras. Contemp. Math. 167, 241-291 (1994)
    • (1994) Contemp. Math. , vol.167 , pp. 241-291
    • Baum, P.1    Connes, A.2    Higson, N.3
  • 6
    • 21844487920 scopus 로고
    • The non-commutative geometry of the quantum Hall effect
    • [Bel+E+S] Bellissard, J., van Elst, A., Schulz-Baldes, H.: The non-commutative geometry of the quantum Hall effect. J. Math. Phys. 35, 5373-5451 (1994)
    • (1994) J. Math. Phys. , vol.35 , pp. 5373-5451
    • Bellissard, J.1    Van Elst, A.2    Schulz-Baldes, H.3
  • 7
    • 0000555802 scopus 로고
    • Principe d'Oka, K-théorie et systémes dynamiques non commutatifs
    • [Bost] Bost, J.: Principe d'Oka, K-théorie et systémes dynamiques non commutatifs. Invent. Math. 101, no. 2, 261-333 (1990)
    • (1990) Invent. Math. , vol.101 , Issue.2 , pp. 261-333
    • Bost, J.1
  • 8
    • 0000161959 scopus 로고
    • Classifying finite group actions on surfaces of low genus
    • [Bro] Broughton, A.: Classifying finite group actions on surfaces of low genus. J. Pure Appl. Algebra 69, no. 3, 233-270 (1991)
    • (1991) J. Pure Appl. Algebra , vol.69 , Issue.3 , pp. 233-270
    • Broughton, A.1
  • 10
  • 11
    • 0000246962 scopus 로고    scopus 로고
    • Quantum Hall effect on the hyperbolic plane in the presence of disorder
    • [CHM] Carey, A., Hannabuss, K., Mathai, V.: Quantum Hall effect on the hyperbolic plane in the presence of disorder. Lett. Math. Phys. 47, no. 3, 215-236 (1999)
    • (1999) Lett. Math. Phys. , vol.47 , Issue.3 , pp. 215-236
    • Carey, A.1    Hannabuss, K.2    Mathai, V.3
  • 12
    • 0001110059 scopus 로고
    • Non commutative differential geometry
    • [Co] Connes, A.: Non commutative differential geometry. Publ. Math. I.H.E.S. 62, 257-360 (1986)
    • (1986) Publ. Math. I.H.E.S. , vol.62 , pp. 257-360
    • Connes, A.1
  • 14
    • 0000923270 scopus 로고
    • Cyclic cohomology, the Novikov conjecture and hyperbolic groups
    • [CM] Connes, A., Moscovici, H.: Cyclic cohomology, the Novikov conjecture and hyperbolic groups, Topology 29, 345-388 (1990)
    • (1990) Topology , vol.29 , pp. 345-388
    • Connes, A.1    Moscovici, H.2
  • 15
    • 0007031695 scopus 로고
    • K-theoretical index theorems for good orbifolds
    • [Far] Farsi, C.: K-theoretical index theorems for good orbifolds. Proc. Am. Math. Soc. 115, 769-773 (1992)
    • (1992) Proc. Am. Math. Soc. , vol.115 , pp. 769-773
    • Farsi, C.1
  • 16
    • 0007123346 scopus 로고    scopus 로고
    • Transport in thermal equilibrium, gapless modes, and anomalies
    • Publ. Math. I.H.E.S.
    • [Froh] Frohlich, J.: Transport in thermal equilibrium, gapless modes, and anomalies. In: Festschrift for the 40th anniversary of the IHES, Publ. Math. I.H.E.S. 81-97 (1998)
    • (1998) Festschrift for the 40th Anniversary of the IHES , pp. 81-97
    • Frohlich, J.1
  • 17
    • 44049112686 scopus 로고
    • Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points
    • [FuSt] Furuta, M. and Steer, B.: Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points. Adv. Math. 96, no. 1, 38-102 (1992)
    • (1992) Adv. Math. , vol.96 , Issue.1 , pp. 38-102
    • Furuta, M.1    Steer, B.2
  • 20
    • 84972526930 scopus 로고
    • 2 Hodge theory
    • 2 Hodge theory. J. Diff. Geom. 33, 263-292 (1991)
    • (1991) J. Diff. Geom. , vol.33 , pp. 263-292
    • Gromov, M.1
  • 21
    • 0003111433 scopus 로고
    • Smooth dense subalgebras of reduced group C*-algebras, Schwartz cohomology of groups and cyclic cohomology
    • [Ji] Ji, R.: Smooth dense subalgebras of reduced group C*-algebras, Schwartz cohomology of groups and cyclic cohomology. J. Funct. Anal. 107, 1-33 (1992)
    • (1992) J. Funct. Anal. , vol.107 , pp. 1-33
    • Ji, R.1
  • 22
    • 84972541111 scopus 로고
    • The index of elliptic operators over V-manifolds
    • [Kaw] Kawasaki, T.: The index of elliptic operators over V-manifolds. Nagoya Math. J. 84, 135-157 (1981)
    • (1981) Nagoya Math. J. , vol.84 , pp. 135-157
    • Kawasaki, T.1
  • 23
    • 0002254221 scopus 로고
    • The signature theorem for V-manifolds
    • [Kaw2] Kawasaki, T.: The signature theorem for V-manifolds. Topology 17, no. 1, 75-83 (1978)
    • (1978) Topology , vol.17 , Issue.1 , pp. 75-83
    • Kawasaki, T.1
  • 24
    • 22844456180 scopus 로고    scopus 로고
    • Twisted index theory on good orbifolds. I: Noncommutative Bloch theory
    • [MM] Marcolli, M., Mathai, V.: Twisted index theory on good orbifolds. I: noncommutative Bloch theory. Commun. Contemp. Math. 1, no. 4, 553-587 (1999)
    • (1999) Commun. Contemp. Math. , vol.1 , Issue.4 , pp. 553-587
    • Marcolli, M.1    Mathai, V.2
  • 25
    • 1642549730 scopus 로고    scopus 로고
    • K-theory of twisted group C*-algebras and positive scalar curvature
    • [Ma1] Mathai, V.: K-theory of twisted group C*-algebras and positive scalar curvature. Rothenberg Festschrift, Contemp. Math. 231, 203-225 (1999)
    • (1999) Rothenberg Festschrift, Contemp. Math. , vol.231 , pp. 203-225
    • Mathai, V.1
  • 26
    • 0003297251 scopus 로고
    • Strong rigidity of symmetric spaces
    • Princeton, NJ: Princeton University Press
    • [Mos] Mostow, G.: Strong rigidity of symmetric spaces, Ann. Math. Studies 78, Princeton, NJ: Princeton University Press, 1973
    • (1973) Ann. Math. Studies , vol.78
    • Mostow, G.1
  • 27
    • 84974291841 scopus 로고
    • On the cohomology of Fuchsian groups
    • [Patt] Patterson, S.J.: On the cohomology of Fuchsian groups. Glasgow Math. J. 16, no. 2, 123-140 (1975)
    • (1975) Glasgow Math. J. , vol.16 , Issue.2 , pp. 123-140
    • Patterson, S.J.1
  • 28
    • 0038292676 scopus 로고
    • The geometries of 3-manifolds
    • [Sc] Scott, P.: The geometries of 3-manifolds. Bull. Lond. Math. Soc. 15, 401-487 (1983)
    • (1983) Bull. Lond. Math. Soc. , vol.15 , pp. 401-487
    • Scott, P.1
  • 29
    • 0001099527 scopus 로고
    • Some remarks on operator theory and index theory
    • Berlin: Springer
    • [Si] Singer, I.M.: Some remarks on operator theory and index theory. In: K-theory and operator algebras, Lecture Notes in Math., Vol. 575, Berlin: Springer, 1977, pp. 128-138
    • (1977) K-theory and Operator Algebras, Lecture Notes in Math. , vol.575 , pp. 128-138
    • Singer, I.M.1
  • 30
    • 0033579771 scopus 로고    scopus 로고
    • Orbifold duality symmetries and quantum Hall systems
    • [Sk-Th] Skoulakis, S., Thomas, S.: Orbifold duality symmetries and quantum Hall systems. Nucl.Phys. B 538, 659-684 (1999)
    • (1999) Nucl.phys. B , vol.538 , pp. 659-684
    • Skoulakis, S.1    Thomas, S.2
  • 31
    • 0000166154 scopus 로고
    • Discrete analogue of periodic magnetic Schrödinger operators
    • [Sun] Sunada, T.: discrete analogue of periodic magnetic Schrödinger operators. Contemp. Math. 173, 283-299 (1994)
    • (1994) Contemp. Math. , vol.173 , pp. 283-299
    • Sunada, T.1
  • 32
    • 0007083117 scopus 로고
    • The Euler-Poincaré characteristic of two-dimensional orbifolds
    • [Tan] Tanasi, C.: The Euler-Poincaré characteristic of two-dimensional orbifolds. Rend. Sem. Mat. Univ. Politec. Torino 45, 133-155 (1987)
    • (1987) Rend. Sem. Mat. Univ. Politec. Torino , vol.45 , pp. 133-155
    • Tanasi, C.1
  • 33
    • 0007137018 scopus 로고
    • Geometric invariants of the quantum Hall effect
    • [Xia] Xia, J.: Geometric invariants of the quantum Hall effect. Commun. Math. Phys. 119, 29-50 (1988)
    • (1988) Commun. Math. Phys. , vol.119 , pp. 29-50
    • Xia, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.