The foam and the matrix factorization sl3 link homologies are equivalent

Abstract

We prove that the foam and matrix factorization universal rational sl3 link homologies are naturally isomorphic as projective functors from the category of link and link cobordisms to the category of bigraded vector spaces.

We have filled a gap in the proof of Lemma 5.2. 28 pages

References in corpus (1)

• The universal sl3-link homology

Cited by in corpus (8)

• Khovanov homology is a skew Howe 2-representation of categorified quantum sl(m)
• The sl_3 web algebra
• Rasmussen's spectral sequences and the sl(N)-concordance invariants
• sl(N)-Web categories
• ${\mathfrak{gl}}_n$-webs, categorification and Khovanov-Rozansky homologies
• The sl(N)-web algebras and dual canonical bases
• Universal Khovanov-Rozansky sl(2) cohomology
• Transverse link invariants from the deformations of Khovanov ${\mathfrak{sl}}_3$-homology