We describe Cheeger–Simons differential characters in terms of a variant of Turaev’s homotopy quantum field theories based on chains in a smooth manifold X.
Turner, Paul  1
@article{10_2140_agt_2004_4_81,
author = {Turner, Paul},
title = {A functorial approach to differential characters},
journal = {Algebraic and Geometric Topology},
pages = {81--93},
year = {2004},
volume = {4},
number = {1},
doi = {10.2140/agt.2004.4.81},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2004.4.81/}
}
Turner, Paul. A functorial approach to differential characters. Algebraic and Geometric Topology, Tome 4 (2004) no. 1, pp. 81-93. doi: 10.2140/agt.2004.4.81
[1] , , Representations of the homotopy surface category of a simply connected space, J. Knot Theory Ramifications 9 (2000) 855
[2] , Loop spaces, characteristic classes and geometric quantization, Progress in Mathematics 107, Birkhäuser (1993)
[3] , , , Gerbes and homotopy quantum field theories, Algebr. Geom. Topol. 4 (2004) 407
[4] , , Differential characters and geometric invariants, from: "Geometry and topology (College Park, Md., 1983/84)", Lecture Notes in Math. 1167, Springer (1985) 50
[5] , Higher algebraic structures and quantization, Comm. Math. Phys. 159 (1994) 343
[6] , , Chern–Simons theory with finite gauge group, Comm. Math. Phys. 156 (1993) 435
[7] , , Holonomy and parallel transport for abelian gerbes, Adv. Math. 170 (2002) 287
[8] , Homotopy quantum field theories and the homotopy cobordism category in dimension $1+1$, J. Knot Theory Ramifications 12 (2003) 287
[9] , Homotopy field theory in dimension 2 and group-algebras
[10] , Topological structures in string theory, R. Soc. Lond. Philos. Trans. Ser. A Math. Phys. Eng. Sci. 359 (2001) 1389
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