Year: 2009
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Carter, J. Scott, Saito, Masahico
Institutions: University of South Alabama, University of South Florida
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W29364470