3D Topological Models and Heegaard Splitting I: Partition Function
Mathematical Physics
2019-05-22 v1 math.MP
Abstract
The aim of this article is twofold: firstly, we show how to recover the smooth Deligne-Beilinson cohomology groups from a Heegaard splitting of a closed oriented smooth 3-manifold by extending the usual \tch-de Rham construction; secondly, thanks to the above and still relying on a Heegaard splitting, we explain how to compute the partition functions of the Chern-Simons and BF theories.
Cite
@article{arxiv.1810.13280,
title = {3D Topological Models and Heegaard Splitting I: Partition Function},
author = {Frank Thuillier},
journal= {arXiv preprint arXiv:1810.13280},
year = {2019}
}