Representations of the homotopy surface category of a simply connected space
Algebraic Topology
2007-05-23 v1 Quantum Algebra
Abstract
We introduce the homotopy surface category of a space which generalizes the 1+1-dimensional cobordism category of circles and surfaces to the situation where one introduces a background space. We explain how for a simply connected background space, monoidal functors from this category to vector spaces can be interpreted in terms of Frobenius algebras with additional structure.
Keywords
Cite
@article{arxiv.math/9910026,
title = {Representations of the homotopy surface category of a simply connected space},
author = {M. Brightwell and P. Turner},
journal= {arXiv preprint arXiv:math/9910026},
year = {2007}
}
Comments
9 pages, 2 figures