Structured Topological Field Theories via Crossed Simplicial Groups
Category Theory
2016-03-09 v1 Algebraic Topology
Abstract
We show how the framework of crossed simplicial groups may be used to provide a classification of topological field theories on open cobordism categories defined by reductions of the structure group to a planar Lie group. Such theories are equivalent to algebras equipped with a group action and a non-degenerate trace satisfying certain invariance requirements which generalize the notion of a frobenius algebra.
Cite
@article{arxiv.1603.02614,
title = {Structured Topological Field Theories via Crossed Simplicial Groups},
author = {Walker H. Stern},
journal= {arXiv preprint arXiv:1603.02614},
year = {2016}
}
Comments
46 pages, 7 figures