A Note on the Bar-Natan Skein Module

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.

19 pages

References in corpus (1)

• Khovanov's homology for tangles and cobordisms

Cited by in corpus (6)

• Frobenius algebras and skein modules of surfaces in 3-manifolds
• Cohomology of Frobenius Algebras and the Yang-Baxter Equation
• Frobenius Modules and Essential Surface Cobordisms
• Algebraic Structures Derived from Foams
• A Diagramless Link Homology
• The Bar-Natan skein module of the solid torus and the homology of (n,n) Springer varieties