A Note on the Bar-Natan Skein Module

2006/02/13 by Marta Asaeda, Asaeda, Marta, Charles Frohman +1 · 3 citations
Mathematics · Computer Science · #Geometric and Algebraic Topology #semigroups and automata theory #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.math/0602262

Abstract

We introduce a new skein module for three manifolds based on properly embedded surfaces and their relations introduced by D.Bar-Natan, and modified by M.Khovanov. We compute the structure of the modules for some manifolds, including Seifert fibred manifolds.

Cited by

• Frobenius Modules and Essential Surface Cobordisms
• Cohomology of Frobenius Algebras and the Yang-Baxter Equation
• Algebraic Structures Derived from Foams

Related

• Skein modules
• A Mayer-Vietoris Theorem for the Kauffman Bracket Skein Module
• Presentations of homotopy skein modules of oriented 3-manifolds
• Bar-Natan skein lasagna modules and exotic surfaces in 4-manifolds
• Frobenius algebras and skein modules of surfaces in 3-manifolds