-
2
-
-
15944386267
-
Cohomology and field theory
-
World Sci. Publishing, Singapore
-
O. Alvarez, Cohomology and field theory, Symposium on anomalies, geometry, topology (Chicago, 1ll., 1985), World Sci. Publishing, Singapore, 1985, 3-21.
-
(1985)
Symposium on Anomalies, Geometry, Topology (Chicago, 1Ll., 1985)
, pp. 3-21
-
-
Alvarez, O.1
-
3
-
-
0036605942
-
Beyond the Elliptic Genus
-
O. Alvarez & I.M. Singer, Beyond the Elliptic Genus, Nuclear Phys. B 633(3) (2002) 309-344.
-
(2002)
Nuclear Phys. B
, vol.633
, Issue.3
, pp. 309-344
-
-
Alvarez, O.1
Singer, I.M.2
-
4
-
-
84952240571
-
-
mimeographed notes, Univ. California, Berkeley, Calif
-
D.W. Anderson, Universal coefficient theorems for k-theory, mimeographed notes, Univ. California, Berkeley, Calif., 1969.
-
(1969)
Universal Coefficient Theorems for K-Theory
-
-
Anderson, D.W.1
-
5
-
-
0039649844
-
Su-cobordism, ko-cha-racteristic numbers, and the Kervaire invariant
-
D.W. Anderson, E.H. Brown, Jr., & F.P. Peterson, su-cobordism, ko-cha-racteristic numbers, and the Kervaire invariant, Ann. of Math. (2) 83 (1966) 54-67.
-
(1966)
Ann. of Math. (2)
, vol.83
, pp. 54-67
-
-
Anderson, D.W.1
Brown, E.H.2
Peterson, F.P.3
-
6
-
-
0035604159
-
Elliptic spectra, the Witten genus and the theorem of the cube
-
M. Ando, M.J. Hopkins, & N.P. Strickland, Elliptic spectra, the Witten genus and the theorem of the cube, Invent. Math. 146(3) (2001) 595-687.
-
(2001)
Invent. Math
, vol.146
, Issue.3
, pp. 595-687
-
-
Ando, M.1
Hopkins, M.J.2
Strickland, N.P.3
-
7
-
-
84923270175
-
Spectral asymmetry and Riemann-ian geometry, III
-
M.F. Atiyah, V.K. Patodi, & I.M. Singer, Spectral asymmetry and Riemann-ian geometry, III, Math. Proc. Cambridge Philos. Soc. 79(1) (1976) 71-99.
-
(1976)
Math. Proc. Cambridge Philos. Soc
, vol.79
, Issue.1
, pp. 71-99
-
-
Atiyah, M.F.1
Patodi, V.K.2
Singer, I.M.3
-
8
-
-
0001901684
-
Riemann surfaces and spin structures
-
M.F. Atiyah, Riemann surfaces and spin structures, Ann. Sci. Ecole Norm. Sup. (4) 4 (1971) 47-62.
-
(1971)
Ann. Sci. Ecole Norm. Sup. (4)
, vol.4
, pp. 47-62
-
-
Atiyah, M.F.1
-
9
-
-
0003210644
-
Homotopy invariant algebraic structures on topological spaces
-
Springer-Verlag, Berlin
-
J.M. Boardman & R.M. Vogt, Homotopy invariant algebraic structures on topological spaces, Springer-Verlag, Berlin, 1973, Lecture Notes in Mathematics, 347.
-
(1973)
Lecture Notes in Mathematics
, pp. 347
-
-
Boardman, J.M.1
Vogt, R.M.2
-
10
-
-
0000410423
-
The Kervaire invariant of framed manifolds a, n, d its generalization
-
W. Browder, The Kervaire invariant of framed manifolds a, n, d its generalization, Annals of Mathematics 90 (1969) 157-186.
-
(1969)
Annals of Mathematics
, vol.90
, pp. 157-186
-
-
Browder, W.1
-
11
-
-
0002747653
-
Pontrjagin duality for generalized homology and cohomology theories
-
E.H. Brown & M. Comenetz, Pontrjagin duality for generalized homology and cohomology theories, American Journal of Mathematics 98 (1976) 1-27.
-
(1976)
American Journal of Mathematics
, vol.98
, pp. 1-27
-
-
Brown, E.H.1
Comenetz, M.2
-
12
-
-
34547339476
-
Note on an invariant of Kervaire
-
E.H. Brown, Jr., Note on an invariant of Kervaire, Michigan Math. J. 12 (1965) 23-24.
-
(1965)
Michigan Math. J
, vol.12
, pp. 23-24
-
-
Brown, E.H.1
-
13
-
-
84914311617
-
The Kervaire invariant of a manifold, Algebraic topology (Proc. Sympos. Pure Math., Vol. XXII, Univ. Wisconsin, Madison, Wis., 1970)
-
Providence, RI
-
E.H. Brown, Jr., The Kervaire invariant of a manifold, Algebraic topology (Proc. Sympos. Pure Math., Vol. XXII, Univ. Wisconsin, Madison, Wis., 1970), Amer. Math. Soc., Providence, RI, 1971, 65-71.
-
(1971)
Amer. Math. Soc
, pp. 65-71
-
-
Brown, E.H.1
-
14
-
-
0001616528
-
Generalizations of the Kervaire invariant
-
E.H. Brown, Jr., Generalizations of the Kervaire invariant, Ann. of Math. (2) 95 (1972) 368-383.
-
(1972)
Ann. of Math. (2)
, vol.95
, pp. 368-383
-
-
Brown, E.H.1
-
15
-
-
84966207029
-
The Kervaire invariant of (8k + 2)-manifolds
-
E.H. Brown, Jr. & F.P. Peterson, The Kervaire invariant of (8k + 2)-manifolds, Bull. Amer. Math. Soc. 71 (1965) 190-193.
-
(1965)
Bull. Amer. Math. Soc
, vol.71
, pp. 190-193
-
-
Brown, E.H.1
Peterson, F.P.2
-
16
-
-
34547290657
-
The Kervaire invariant of (8k + 2)-manifolds, Amer
-
E.H. Brown, Jr. & F.P. Peterson, The Kervaire invariant of (8k + 2)-manifolds, Amer. J. Math. 88 (1966) 815-826.
-
(1966)
J. Math
, vol.88
, pp. 815-826
-
-
Brown, E.H.1
Peterson, F.P.2
-
17
-
-
0003988801
-
-
Birkhäuser Boston Inc., Boston, MA
-
J.-L. Brylinski, Loop spaces, characteristic classes and geometric quantization, Birkhäuser Boston Inc., Boston, MA, 1993.
-
(1993)
Characteristic Classes and Geometric Quantization
-
-
Brylinski, J.-L.1
Spaces, L.2
-
18
-
-
0000699425
-
Topologie de certains espaces de plongements
-
J. Cerf, Topologie de certains espaces de plongements, Bull. Soc. Math. France 89 (1961) 227-380.
-
(1961)
Bull. Soc. Math. France
, vol.89
, pp. 227-380
-
-
Cerf, J.1
-
19
-
-
85037917855
-
La nullité de (Diff S3)
-
Exp. 8, Secretariat mathématique, Paris, 1962/1963
-
J. Cerf, La nullité de (diff S3). Théommes de fibration des espaces de plongements. Applications, Seminaire Henri Cartan, 1962/63, Exp. 8, Secretariat mathématique, Paris, 1962/1963.
-
(1962)
Théommes De Fibration Des Espaces De Plongements. Applications, Seminaire Henri Cartan
-
-
Cerf, J.1
-
20
-
-
0002909916
-
Differential characters and geometric invariants, Geometry and topology (College Park, Md., 1983/84)
-
Springer, Berlin
-
J. Cheeger & J. Simons, Differential characters and geometric invariants, Geometry and topology (College Park, Md., 1983/84), Lecture Notes in Math., 1167, Springer, Berlin, 1985, 50-80.
-
(1985)
Lecture Notes in Math
, vol.1167
, pp. 50-80
-
-
Cheeger, J.1
Simons, J.2
-
21
-
-
0001183611
-
Characteristic forms and geometric invariants
-
S.S. Chern & J. Simons, Characteristic forms and geometric invariants, Ann. of Math. (2) 99 (1974) 48-69.
-
(1974)
Ann. of Math. (2)
, vol.99
, pp. 48-69
-
-
Chern, S.S.1
Simons, J.2
-
22
-
-
0000129115
-
Simplicial homotopy theory
-
E.B. Curtis, Simplicial homotopy theory, Advances in Math. 6 (1971) 107-209.
-
(1971)
Advances in Math
, vol.6
, pp. 107-209
-
-
Curtis, E.B.1
-
23
-
-
0002783111
-
-
Providence, RI
-
P. Deligne, Le determinant de la cohomologie, Current trends in arithmetical algebraic geometry (Arcata, Calif., 1985), Amer. Math. Soc., Providence, RI, 1987, 93-177.
-
(1987)
Le Determinant De La Cohomologie, Current Trends in Arithmetical Algebraic Geometry (Arcata, Calif., 1985)
, pp. 93-177
-
-
Deligne, P.1
-
25
-
-
0032547644
-
A modular invariant partition function for the five-brane
-
L. Dolan & Ch.R. Nappi, A modular invariant partition function for the five-brane, Nuclear Phys. B 530(3) (1998) 683-700.
-
(1998)
Nuclear Phys. B
, vol.530
, Issue.3
, pp. 683-700
-
-
Dolan, L.1
Nappi, C.2
-
26
-
-
0003194437
-
-
North-Holland, Amsterdam
-
A.D. Elmendorf, I. Kriz, M.A. Mandell, & J.P. May, Modern foundations for stable homotopy theory, Handbook of algebraic topology, North-Holland, Amsterdam, 1995, 213-253.
-
(1995)
Modern Foundations for Stable Homotopy Theory, Handbook of Algebraic Topology
, pp. 213-253
-
-
Elmendorf, A.D.1
Kriz, I.2
Mandell, M.A.3
May, J.P.4
-
27
-
-
0003726940
-
-
Providence, RI, With an appendix by M. Cole
-
A.D. Elmendorf, I. Kriz, M.A. Mandell, & J.P. May, Rings, modules, and algebras in stable homotopy theory, American Mathematical Society, Providence, RI, 1997, With an appendix by M. Cole.
-
(1997)
Rings, Modules, and Algebras in Stable Homotopy Theory, American Mathematical Society
-
-
Elmendorf, A.D.1
Kriz, I.2
Mandell, M.A.3
May, J.P.4
-
28
-
-
13844292276
-
Dirac charge quantization and generalized differential cohomology
-
Surv. Differ. Geom., VII, Int. Press, Somerville, MA
-
D.S. Freed, Dirac charge quantization and generalized differential cohomology, Surveys in differential geometry, 129-194, Surv. Differ. Geom., VII, Int. Press, Somerville, MA, 2000.
-
(2000)
Surveys in Differential Geometry
, pp. 129-194
-
-
Freed, D.S.1
-
29
-
-
7244260601
-
On Ramond-Ramond fields and K-theory
-
Paper 44
-
D.S. Freed & M. Hopkins, On Ramond-Ramond fields and K-theory, J. High Energy Phys. 5 (2000) Paper 44, 14 pp.
-
(2000)
J. High Energy Phys
, vol.5
, pp. 14
-
-
Freed, D.S.1
Hopkins, M.2
-
31
-
-
84968470110
-
Theta-characteristics on algebraic curves
-
J. Harris, Theta-characteristics on algebraic curves, Trans. Amer. Math. Soc. 271(2) (1982) 611-638.
-
(1982)
Trans. Amer. Math. Soc
, vol.271
, Issue.2
, pp. 611-638
-
-
Harris, J.1
-
33
-
-
0004188206
-
-
Springer-Verlag, New York, Corrected reprint of the 1976 original
-
M.W. Hirsch, Differential topology, Springer-Verlag, New York, 1994, Corrected reprint of the 1976 original.
-
(1994)
Differential Topology
-
-
Hirsch, M.W.1
-
35
-
-
0000922206
-
Topological modular forms, the Witten genus, and the theorem of the cube
-
Zürich, 1994, (Basel), Birkhäuser
-
M.J. Hopkins, Topological modular forms, the Witten genus, and the theorem of the cube, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994) (Basel), Birkhäuser, 1995, 554-565.
-
(1995)
Proceedings of the International Congress of Mathematicians
, vol.1
, pp. 554-565
-
-
Hopkins, M.J.1
-
36
-
-
85037901815
-
La méthode de Pontryagin pour la classification des applications sur une sphère, Topologia Differenziale
-
Urbino, Edizioni Cremonese, Rome
-
M. Kervaire, La méthode de Pontryagin pour la classification des applications sur une sphère, Topologia Differenziale (Centro Internaz. Mat. Estivo, deg. 1 Ciclo, Urbino, 1962), Lezione 3, Edizioni Cremonese, Rome, 1962.
-
(1962)
Centro Internaz. Mat. Estivo, Deg. 1 Ciclo
, pp. 1962
-
-
Kervaire, M.1
-
37
-
-
51249194457
-
A manifold which does not admit any differentiable structure
-
M.A. Kervaire, A manifold which does not admit any differentiable structure, Comment. Math. Helv. 34 (1960) 257-270.
-
(1960)
Comment. Math. Helv
, vol.34
, pp. 257-270
-
-
Kervaire, M.A.1
-
38
-
-
33646881336
-
On cobordism of manifolds with corners
-
electronic
-
G. Laures, On cobordism of manifolds with corners, Trans. Amer. Math. Soc. 352(12) (2000) 5667-5688 (electronic).
-
(2000)
Trans. Amer. Math. Soc
, vol.352
, Issue.12
, pp. 5667-5688
-
-
Laures, G.1
-
39
-
-
0003317902
-
Equivariant stable homotopy theory
-
Springer-Verlag, New York
-
L.G. Lewis, J.P. May, & M. Steinberger, Equivariant stable homotopy theory, Lecture Notes in Mathematics, 1213, Springer-Verlag, New York, 1986.
-
(1986)
Lecture Notes in Mathematics
, vol.1213
-
-
Lewis, L.G.1
May, J.P.2
Steinberger, M.3
-
41
-
-
0013036187
-
R/z index theory
-
J. Lott, r/z index theory, Comm. Anal. Geom. 2(2) (1994) 279-311.
-
(1994)
Comm. Anal. Geom
, vol.2
, Issue.2
, pp. 279-311
-
-
Lott, J.1
-
42
-
-
0000055829
-
Superconnections, Thom classes, and equivariant differential forms
-
V. Mathai & D. Quillen, Superconnections, Thom classes, and equivariant differential forms, Topology 25(1) (1986) 85-110.
-
(1986)
Topology
, vol.25
, Issue.1
, pp. 85-110
-
-
Mathai, V.1
Quillen, D.2
-
43
-
-
0003728536
-
-
University of Chicago Press, Chicago, IL, Reprint of the 1967 original
-
V. Mathai & D. Quillen, Simplicial objects in algebraic topology, University of Chicago Press, Chicago, IL, 1992, Reprint of the 1967 original.
-
(1992)
Simplicial Objects in Algebraic Topology
-
-
Mathai, V.1
Quillen, D.2
-
45
-
-
0038899927
-
Surgery with coefficients
-
R.J. Milgram, Surgery with coefficients, Ann. of Math. (2) 100 (1974) 194-248.
-
(1974)
Ann. of Math. (2)
, vol.100
, pp. 194-248
-
-
Milgram, R.J.1
-
46
-
-
0000946314
-
Spin structures on manifolds
-
J. Milnor, Spin structures on manifolds, Enseignement Math. (2) 9 (1963) 198-203.
-
(1963)
Enseignement Math
, vol.9
, Issue.2
, pp. 198-203
-
-
Milnor, J.1
-
47
-
-
0001834987
-
A procedure for killing homotopy groups of differentiable manifolds
-
American Mathematical Society, Providence, RI
-
J. Milnor, A procedure for killing homotopy groups of differentiable manifolds, Proc. Sympos. Pure Math., 3, American Mathematical Society, Providence, RI, 1961, 39-55.
-
(1961)
Proc. Sympos. Pure Math
, vol.3
, pp. 39-55
-
-
Milnor, J.1
-
48
-
-
0004138687
-
Symmetric bilinear forms
-
Springer-Verlag, New York
-
J. Milnor & D. Husemoller, Symmetric bilinear forms, Springer-Verlag, New York, 1973, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 73.
-
(1973)
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete, Band 73
-
-
Milnor, J.1
Husemoller, D.2
-
49
-
-
0010031349
-
The transversality characteristic class and linking cycles in surgery theory
-
J.W. Morgan & D.P. Sullivan, The transversality characteristic class and linking cycles in surgery theory, Ann. of Math. (2) 99 (1974) 463-544.
-
(1974)
Ann. of Math. (2)
, vol.99
, pp. 463-544
-
-
Morgan, J.W.1
Sullivan, D.P.2
-
50
-
-
0000242153
-
Theta characteristics of an algebraic curve
-
D. Mumford, Theta characteristics of an algebraic curve, Ann. Sci. Ecole Norm. Sup. (4) 4 (1971) 181-192.
-
(1971)
Ann. Sci. Ecole Norm. Sup. (4)
, vol.4
, pp. 181-192
-
-
Mumford, D.1
-
51
-
-
0000856251
-
Existence of universal connections
-
M.S. Narasimhan & S. Ramanan, Existence of universal connections, Amer. J. Math. 83 (1961) 563-572.
-
(1961)
Amer. J. Math
, vol.83
, pp. 563-572
-
-
Narasimhan, M.S.1
Ramanan, S.2
-
52
-
-
0000433472
-
Existence of universal connections, II
-
M.S. Narasimhan & S. Ramanan, Existence of universal connections, II, Amer. J. Math. 85 (1963) 223-231.
-
(1963)
Amer. J. Math
, vol.85
, pp. 223-231
-
-
Narasimhan, M.S.1
Ramanan, S.2
-
53
-
-
3042760547
-
A classification of continuous transformations of a complex into a sphere, 1, Doklady Akad
-
L.S. Pontryagin, A classification of continuous transformations of a complex into a sphere, 1, Doklady Akad. Nauk SSSR (N.S.) 19 (1938) 361-363.
-
(1938)
Nauk SSSR (N.S.)
, vol.19
, pp. 361-363
-
-
Pontryagin, L.S.1
-
55
-
-
85037921267
-
Sphere
-
sphere, 2, Doklady Akad. Nauk SSSR (N.S.) 19 (1938) 147-149.
-
(1938)
Doklady Akad. Nauk SSSR (N.S.)
, vol.2
, Issue.19
, pp. 147-149
-
-
-
56
-
-
0039941677
-
Homotopy classification of mappings of an (N + 2)-dimensional sphere on an n-dimensional one
-
Russian
-
L.S. Pontryagin, Homotopy classification of mappings of an (n + 2)-dimensional sphere on an n-dimensional one, Doklady Akad. Nauk SSSR (N.S.) 19 (1950) 957-959, Russian.
-
(1950)
Doklady Akad. Nauk SSSR (N.S.)
, vol.19
, pp. 957-959
-
-
Pontryagin, L.S.1
-
57
-
-
0042298098
-
Smooth manifolds and their applications in homotopy theory, American Mathematical Society Translations
-
Ser. 2, Providence, RI
-
L.S. Pontryagin, Smooth manifolds and their applications in homotopy theory, American Mathematical Society Translations, Ser. 2, Vol. 11, American Mathematical Society, Providence, RI, 1959, 1-114.
-
(1959)
American Mathematical Society
, vol.11
, pp. 1-114
-
-
Pontryagin, L.S.1
-
58
-
-
0040185353
-
Superconnections and the Chern character
-
D. Quillen, Superconnections and the Chern character, Topology 24(1) (1985) 89-95.
-
(1985)
Topology
, vol.24
, Issue.1
, pp. 89-95
-
-
Quillen, D.1
-
61
-
-
0003807144
-
-
Springer-Verlag, New York, Corrected reprint of the 1966 original
-
E.H. Spanier, Algebraic topology, Springer-Verlag, New York, 1981, Corrected reprint of the 1966 original.
-
(1981)
Algebraic Topology
-
-
Spanier, E.H.1
-
62
-
-
51249193717
-
Quelques propriétés globales des variétés differentiables
-
R. Thom, Quelques propriétés globales des variétés differentiables, Commentarii Mathematici Helvetici 28 (1954) 17-86.
-
(1954)
Commentarii Mathematici Helvetici
, vol.28
, pp. 17-86
-
-
Thom, R.1
-
63
-
-
84858107372
-
The (N + 2)nd homotopy group of the n-sphere
-
G.W. Whitehead, The (n + 2)nd homotopy group of the n-sphere, Ann. of Math. (2) 52 (1950) 245-247.
-
(1950)
Ann. of Math. (2)
, vol.52
, pp. 245-247
-
-
Whitehead, G.W.1
-
64
-
-
0031142054
-
Five-brane effective action in M-theory
-
E. Witten, Five-brane effective action in M-theory, J. Geom. Phys. 22(2) (1997) 103-133.
-
(1997)
J. Geom. Phys
, vol.22
, Issue.2
, pp. 103-133
-
-
Witten, E.1
-
65
-
-
0031124013
-
On flux quantization in M-theory and the effective action
-
E. Witten, On flux quantization in M-theory and the effective action, J. Geom. Phys. 22(1) (1997) 1-13.
-
(1997)
J. Geom. Phys
, vol.22
, Issue.1
, pp. 1-13
-
-
Witten, E.1
-
66
-
-
0035916585
-
Overview of K-theory applied to strings
-
E. Witten, Overview of K-theory applied to strings, Internat. J. Modern Phys. A 16(5) (2001) 693-706.
-
(2001)
Internat. J. Modern Phys. A
, vol.16
, Issue.5
, pp. 693-706
-
-
Witten, E.1
-
67
-
-
84972572208
-
Universal coefficient sequences for cohomology theories of cw-spectra
-
Zen-ichi Yosimura, Universal coefficient sequences for cohomology theories of cw-spectra, Osaka J. Math. 12(2) (1975) 305-323.
-
(1975)
Osaka J. Math
, vol.12
, Issue.2
, pp. 305-323
-
-
Yosimura, Z.-I.1
|