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

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.

arXiv comment31 pages; proved that the tail of Khovanov homology is invariant under B-reduction

References in corpus (5)

• Khovanov's homology for tangles and cobordisms
• Rogers-Ramanujan type identities and the head and tail of the colored Jones polynomial
• A categorification of the Jones polynomial
• Categorifying fractional Euler characteristics, Jones-Wenzl projector and $3j$-symbols
• Nahm sums, stability and the colored Jones polynomial

Cited by in corpus (4)

• Nahm sums, stability and the colored Jones polynomial
• The Head and Tail of the Colored Jones Polynomial for Adequate Knots
• On the degree of the colored Jones polynomial
• Some Categorical Representations of the Modular Group