Fixing the functoriality of Khovanov homology: A simple approach

DOI10.1142/S0218216521500747MaRDI QIDQ5033070

Taketo Sano

Publication date: 22 February 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02131

zbMATH Keywords

functorialityKhovanov homology

Mathematics Subject Classification ID

Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items

A Bar-Natan homotopy type ⋮ Homotopy functoriality for Khovanov spectra ⋮ Categorical lifting of the Jones polynomial: a survey ⋮ Khovanov homology and cobordisms between split links ⋮ Anchored foams and annular homology

Cites Work

• On transverse invariants from Khovanov homology
• Fixing the functoriality of Khovanov homology
• The universal \({\mathfrak {sl}}(2)\) cohomology via webs and foams
• An invariant of link cobordisms from Khovanov homology
• A categorification of the Jones polynomial
• Khovanov's homology for tangles and cobordisms
• Transverse knots and Khovanov homology
• An endomorphism of the Khovanov invariant
• Khovanov-Jacobsson numbers and invariants of surface-knots derived from Bar-Natan’s theory
• AN ORIENTED MODEL FOR KHOVANOV HOMOLOGY
• REIDEMEISTER MOVES FOR SURFACE ISOTOPIES AND THEIR INTERPRETATION AS MOVES TO MOVIES
• Link homology and Frobenius extensions II
• Functoriality of Khovanov homology
• A description of Rasmussen’s invariant from the divisibility of Lee’s canonical class
• Khovanov homology and diagonalizable Frobenius algebras
• Link homology and Frobenius extensions