Differential cohomology and topological actions in physics

J. Davighi, B. Gripaios, and J. Tooby-Smith, “Quantum mechanics in magnetic backgrounds with manifest symmetry and locality,” J. Phys. A

Original

1905

Earlier work this paper cites.

F. Wagemann and C. Wockel, “A Cocycle Model for Topological and Lie Group Cohomology,” Trans. Amer. Math. Soc

Original

1909

Earlier work this paper cites.

P. A. M. Dirac, “Quantized Singularities in the Electromagnetic Field,” Proc. Roy. Soc. Lond

1931

Earlier work this paper cites.

T. T. Wu and C. N. Yang, “Dirac’s Monopole without Strings: Classical Lagrangian Theory,” Phys. Rev

1976

Earlier work this paper cites.

G. ’t Hooft, “Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking,” NATO Sci. Ser. B

1980

Earlier work this paper cites.

E. Witten, “Global Aspects of Current Algebra,” Nucl. Phys

1983

Earlier work this paper cites.

N. S. Manton, “A model for the anomalies in gauge field theory,” NSF-ITP-83-164

1983

Earlier work this paper cites.

E. Witten, “Nonabelian Bosonization in Two-Dimensions,” Commun. Math. Phys

1984

Earlier work this paper cites.

M. Atiyah and R. Bott, “The moment map and equivariant cohomology,” Topology

1984

Earlier work this paper cites.

O. Alvarez, “Topological Quantization and Cohomology,” Commun. Math. Phys

1985

Earlier work this paper cites.

P. C. Nelson and L. Alvarez-Gaume, “Hamiltonian Interpretation of Anomalies,” Commun. Math. Phys

1985

Earlier work this paper cites.

Springer Berlin Heidelberg, Berlin, Heidelberg, 1985

J. Cheeger and J. Simons, “Differential characters and geometric invariants,” in Geometry and Topology · 1985

Earlier work this paper cites.

V. Mathai and D. Quillen, “Superconnections, Thom classes, and equivariant differential forms,” Topology

1986

Earlier work this paper cites.

Oxford Mathematical Monographs. OUP, 1986

A. N. Pressley and G. B. Segal, Loop Groups · 1986

Earlier work this paper cites.

Springer, 1988

K. Gawedzki, “Topological actions in two-dimensional quantum field thories,” in Nonperturbative quantum field theory · 1988

Cited alongside, same era.

C. M. Hull and B. J. Spence, “The gauged nonlinear σ \sigma model with Wess-Zumino term,” Phys. Lett

1989

Cited alongside, same era.

R. Dijkgraaf and E. Witten, “Topological gauge theories and group cohomology,” Comm. Math. Phys

1990

Cited alongside, same era.

I. Jack, D. Jones, N. Mohammedi, and H. Osborn, “Gauging the General σ \sigma Model with a Wess-Zumino Term,” Nucl. Phys. B

1990

Cited alongside, same era.

C. M. Hull and B. J. Spence, “The geometry of the gauged sigma-model with Wess-Zumino term,” Nuclear Physics B

1991

Cited alongside, same era.

S. Wu, “Cohomological obstructions to the equivariant extension of closed invariant forms,” Journal of Geometry and Physics

D. S. Freed, G. W. Moore, and G. Segal, “Heisenberg Groups and Noncommutative Fluxes,” Annals Phys

2007

Later among the works it cites.

D. S. Freed, “Pions and Generalized Cohomology,” J. Diff. Geom

2008

Later among the works it cites.

J. Simons and D. Sullivan, “Axiomatic characterization of ordinary differential cohomology,” Journal of Topology

2008

Later among the works it cites.

Springer, 2014

C. Bär and C. Becker, Differential Characters , vol. 2112 of Lecture Notes in Mathematics · 2014

Later among the works it cites.

C. Becker, A. Schenkel, and R. J. Szabo, “Differential cohomology and locally covariant quantum field theory,” Rev. Math. Phys

Original

2016

Later among the works it cites.

U. Bunke, T. Nikolaus, and M. Völkl, “Differential cohomology theories as sheaves of spectra,” Journal of Homotopy and Related Structures