The universal sl(2) cohomology via webs and foams

Abstract

We construct the universal sl(2)-tangle cohomology using an approach with webs and dotted foams. This theory depends on two parameters, and for the case of links it is a categorification of the unnormalized Jones polynomial of the link.

27 pages, many figures; v2: changes following referee's suggestions, typos corrected

References in corpus (8)

• Khovanov's homology for tangles and cobordisms
• An invariant of link cobordisms from Khovanov homology
• sl(3) link homology
• The universal sl3-link homology
• Note on Khovanov link cohomology
• An sl(2) tangle homology and seamed cobordisms
• Khovanov's invariant for closed surfaces
• Universal Khovanov-Rozansky sl(2) cohomology

Cited by in corpus (9)

• Khovanov homology is a skew Howe 2-representation of categorified quantum sl(m)
• Fixing the functoriality of Khovanov homology: a simple approach
• Generic ${\mathfrak{gl}}_2$-foams, web and arc algebras
• On the sl(2) foam cohomology computations
• On Khovanov Homology and Related Invariants
• On the quantum filtration of the universal sl(2) foam cohomology
• Twin TQFTs and Frobenius algebras
• Universal Khovanov-Rozansky sl(2) cohomology
• The sl(2) foam cohomology via a TQFT