Khovanov homology of a unicolored B-adequate link has a tail

2012/03/26 by Lev Rozansky, Rozansky, Lev
Mathematics · #57M27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1203.5741

openalex publication_date 2012/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

C. Armond, S. Garoufalidis and T.Le have shown that a unicolored Jones polynomial of a B-adequate link has a stable tail at large colors. We categorify this tail by showing that Khovanov homology of a unicolored link also has a stable tail, whose graded Euler characteristic coincides with the tail of the Jones polynomial.

Citations

• Rogers-Ramanujan type identities and the head and tail of the colored Jones polynomial

Related

• Khovanov homology of links and graphs
• Stability properties of the colored Jones polynomial
• Step by step categorification of the Jones polynomial in Kauffman's version
• Unoriented Virtual Khovanov Homology
• A generalized skein relation for Khovanov homology and a categorification of the θ-invariant