Frobenius Modules and Essential Surface Cobordisms
Geometric Topology
2009-08-06 v2 Quantum Algebra
Abstract
An algebraic system is proposed that represent surface cobordisms in thickened surfaces. Module and comodule structures over Frobenius algebras are used for representing essential curves. The proposed structure gives a unified algebraic view of states of categorified Jones polynomials in thickened surfaces and virtual knots. Constructions of such system are presented.
Cite
@article{arxiv.0905.4475,
title = {Frobenius Modules and Essential Surface Cobordisms},
author = {J. Scott Carter and Masahico Saito},
journal= {arXiv preprint arXiv:0905.4475},
year = {2009}
}