On the modular functor associated with a finite group

Details On the modular functor associated with a finite group On the modular functor associated with a finite group

2003-10-07

arxiv.org/abs/math/0310087v1

Mathematics

Quantum Algebra

7 pages, no figures

Scientific paper

In this note, we give a description of the modular functor associated to the Chern-Simons theory with a finite group from the complex-analytic point of view, i.e. as a vector bundle with a flat connection on the moduli space of punctured curves. We show that it can be obtained from the trivial local system on the moduli space of "admissible G-covers" as a direct image under the forgetful map from moduli space of G-covers to the usual moduli space.

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