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paper

The topological quantum field theory of Riemann's theta functions

arXiv:1406.4269 · doi:10.1016/j.geomphys.2015.08.008

Abstract

In this paper we prove the existence and uniqueness of a topological quantum field theory that incorporates, for all Riemann surfaces, the corresponding spaces of theta functions and the actions of the Heisenberg groups and modular groups on them.

23 pages, 11 figures