On the sl(2) foam cohomology computations

Abstract

We show how to use Bar-Natan's `divide and conquer' approach to computations to efficiently compute the universal sl(2) dotted foam cohomology groups, even for big knots and links. We also describe a purely topological version of the sl(2) foam theory, in the sense that no dots are needed on foams.

16 pages, many figures

References in corpus (4)

• The universal sl3-link homology
• Fixing the functoriality of Khovanov homology
• The universal sl(2) cohomology via webs and foams
• An sl(2) tangle homology and seamed cobordisms

Cited by in corpus (3)

• On the quantum filtration of the universal sl(2) foam cohomology
• Twin TQFTs and Frobenius algebras
• The sl(2) foam cohomology via a TQFT