Topological Quantum Field Theories from Compact Lie Groups

C. Teleman D. S. Freed, M. J. Hopkins, Loop groups and twisted K K -theory I, II, III , arXiv:0711.1906, arXiv:math/0511232, arXiv:math/0312155

Original

1906

Earlier work this paper cites.

S. Eilenberg, S. Mac Lane, On the groups H ⁡ ( Π , n ) H(\Pi,n) . II. Methods of computation , Ann. of Math. 60

1954

Earlier work this paper cites.

R. Bott, Lectures on characteristic classes and foliations , Lectures on algebraic and differential topology (Second Latin American School in Math., Mexico City, 1971), Springer, Berlin, 1972, Notes by Lawrence Conlon, with two appendices by J. Stasheff, pp. 1–94. Lecture Notes in Math., Vol. 279

1972

Earlier work this paper cites.

D. Husemoller, J. Milnor, Symmetric bilinear forms , Springer-Verlag, New York, 1973, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 73

1973

Earlier work this paper cites.

M. Atiyah, Topological quantum field theories , Inst. Hautes Études Sci. Publ. Math. (1988), no. 68, 175–186 (1989)

1989

Earlier work this paper cites.

E. Witten, Quantum field theory and the Jones polynomial , Comm. Math. Phys. 121

1989

Earlier work this paper cites.

L. Crane, D. Yetter, A categorical construction of 4 4 D topological quantum field theories , Quantum topology, Ser. Knots Everything, vol. 3, World Sci. Publ., River Edge, NJ, 1993, pp. 120–130

1993

Earlier work this paper cites.

by same author, Higher algebraic structures and quantization , Comm. Math. Phys. 159

1994

Cited alongside, same era.

V. G. Turaev, Quantum invariants of knots and 3-manifolds , de Gruyter Studies in Mathematics, vol. 18, Walter de Gruyter & Co., Berlin, 1994

1994

Cited alongside, same era.

J. C. Baez, J. Dolan, Higher-dimensional algebra and topological quantum field theory , J. Math. Phys. 36

1995

Cited alongside, same era.

F. Quinn, Lectures on axiomatic topological quantum field theory , in Geometry and Quantum Field Theory, IAS/Park City Mathematics Series, Volume 1, D. S. Freed and K. K. Uhlenbeck, eds., American Mathematical Society, Providence, RI, 1995, pp. 323–453

1995

Cited alongside, same era.

M. Manoliu, Abelian Chern-Simons theory. I. A topological quantum field theory , J. Math. Phys. 39 (1998), no. 1, 170–206. II. A functional integral approach , J. Math. Phys. 39 (1998), no. 1, 207–217

D. S. Freed, Classical Chern-Simons theory. II , Houston J. Math. 28

2002

Later among the works it cites.

M. Müger, From subfactors to categories and topology. II. The quantum double of tensor categories and subfactors , J. Pure Appl. Algebra 180

2003

Later among the works it cites.

A. Polishchuk, Abelian varieties, theta functions and the Fourier transform , Cambridge Tracts in Mathematics, 153, Cambridge University Press, Cambridge, 2003

2003

Later among the works it cites.

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

2004

Later among the works it cites.

M. J. Hopkins, I. M. Singer, Quadratic functions in geometry, topology, and M-theory , J. Differential Geom. 70

2005

Later among the works it cites.