Remarks on 2-dimensional HQFT's
Geometric Topology
2014-10-01 v2
Abstract
We introduce and study algebraic structures underlying 2-dimensional Homotopy Quantum Field Theories (HQFTs) with arbitrary target spaces. These algebraic structures are formalized in the notion of a twisted Frobenius algebra. Our work generalizes results of Brightwell, Turner, and the second author on 2-dimensional HQFTs with simply-connected or aspherical targets.
Cite
@article{arxiv.0912.1380,
title = {Remarks on 2-dimensional HQFT's},
author = {Mihai D. Staic and Vladimir Turaev},
journal= {arXiv preprint arXiv:0912.1380},
year = {2014}
}
Comments
22 pages, 14 figures. In this version we added a detailed proof for Theorem 3.3 and made some minor corrections.