Anomalies and Invertible Field Theories

Daniel S. Freed, Michael J. Hopkins, and Constantin Teleman, Loop groups and twisted K K -theory I , J. Topol. 4

Original

1906

Earlier work this paper cites.

M. F. Atiyah, R. Bott, and A. A. Shapiro, Clifford modules , Topology 3

1964

Earlier work this paper cites.

C. T. C. Wall, Graded Brauer groups , J. Reine Angew. Math. 213

1964

Earlier work this paper cites.

by same author, The index of elliptic operators. IV , Ann. of Math. (2) 93

1971

Earlier work this paper cites.

by same author, Riemann surfaces and spin structures , Ann. Sci. École Norm. Sup. (4) 4

1971

Earlier work this paper cites.

by same author, Categories and cohomology theories , Topology 13

1974

Earlier work this paper cites.

Luis Alvarez-Gaume, Supersymmetry and the Atiyah-Singer index theorem , Commun. Math. Phys. 90

1983

Earlier work this paper cites.

L. Alvarez-Gaumé and E. Witten, Gravitational anomalies , Nucl. Phys. B234

1983

Earlier work this paper cites.

M. F. Atiyah, Circular symmetry and stationary-phase approximation , Astérisque (1985), no. 131, 43–59. Colloquium in honor of Laurent Schwartz, Vol. 1 (Palaiseau, 1983)

1983

Earlier work this paper cites.

L. Alvarez-Gaumé and P. Ginsparg, The topological meaning of nonabelian anomalies , Nuclear Phys. B 243

1984

Earlier work this paper cites.

M. F. Atiyah and I. M. Singer, Dirac operators coupled to vector potentials , Proc. Nat. Acad. Sci. U.S.A. 81

1984

Earlier work this paper cites.

O. Alvarez, I. M. Singer, and B. Zumino, Gravitational anomalies and the family’s index theorem , Communications in Mathematical Physics 96

1984

Earlier work this paper cites.

Jean-Michel Bismut, The Atiyah-Singer theorems: a probabilistic approach. I. The index theorem , J. Funct. Anal. 57

1984

Earlier work this paper cites.

D. Friedan and Paul Windey, Supersymmetric derivation of the Atiyah-Singer index and the chiral anomaly , Nucl. Phys. B235

1984

Earlier work this paper cites.

Philip Nelson and Luis Alvarez-Gaumé, Hamiltonian interpretation of anomalies , Comm. Math. Phys. 99

1985

Cited alongside, same era.

by same author, Global anomalies in string theory , Symposium on anomalies, geometry, topology (Chicago, Ill., 1985), World Sci. Publishing, Singapore, 1985, pp. 61–99

1985

Cited alongside, same era.

Daniel S. Freed, Determinants, torsion, and strings , Comm. Math. Phys. 107

1986

Cited alongside, same era.

by same author, On determinant line bundles , Mathematical Aspects of String Theory (S. T. Yau, ed.), Advanced Series in Mathematical Physics, vol. 1, 1986, pp. 189–238

1986

Cited alongside, same era.

Edward Witten, Global anomalies , Supersymmetry and its applications: superstrings, anomalies and supergravity (Cambridge, 1985), Cambridge Univ. Press, Cambridge, 1986, pp. 21–27

1986

Cited alongside, same era.

by same author, Index of Dirac operators , Quantum Fields and Strings: a course for mathematicians, Vol. 1, 2 (Princeton, NJ, 1996/1997), Amer. Math. Soc., Providence, RI, 1999, pp. 475–512

1999

Later among the works it cites.

Reinhold A Bertlmann, Anomalies in quantum field theory , vol. 91, Oxford University Press on Demand, 2000

2000

Later among the works it cites.

by same author, K K -theory in quantum field theory , Current developments in mathematics, 2001, Int. Press, Somerville, MA, 2002, pp. 41–87. math-ph/0206031

2002

Later among the works it cites.

M. F. Atiyah and G. B. Segal, Twisted K K -theory , Ukr. Mat. Visn. 1

2004

Later among the works it cites.

Stephan Stolz and Peter Teichner, What is an elliptic object? , Topology, geometry and quantum field theory, London Math. Soc. Lecture Note Ser., vol. 308, Cambridge Univ. Press, Cambridge, 2004, pp. 247–343