Homotopy type of circle graph complexes motivated by extreme Khovanov homology

DOI10.1007/s10801-017-0794-yzbMath1431.57012arXiv1608.03002OpenAlexW2962781490MaRDI QIDQ1785717

Józef H. Przytycki, Marithania Silvero Casanova

Publication date: 1 October 2018

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03002

zbMATH Keywords

Khovanov homologytorus linkscircle graphswedge of spheresindependence simplicial complex

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Combinatorial aspects of simplicial complexes (05E45) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (9)

Extremal Khovanov homology and the girth of a knot ⋮ Forty years in mathematics: Personal perspective (Part I) ⋮ Near extremal Khovanov homology of Turaev genus one links ⋮ Extremal Khovanov homology of Turaev genus one links ⋮ Almost-extreme Khovanov spectra ⋮ Search for Torsion in Khovanov Homology ⋮ Chromatic homology, Khovanov homology, and torsion ⋮ Geometric realization of the almost-extreme Khovanov homology of semiadequate links ⋮ Extreme Khovanov spectra

Uses Software

• Khoho
• Knot Atlas
• GitHub

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Star clusters in independence complexes of graphs
• The homotopy theory of Khovanov homology
• The transition matroid of a 4-regular graph: an introduction
• Khovanov homology is an unknot-detector
• Complexity of simplicial homology and independence complexes of chordal graphs
• The Karoubi envelope and Lee's degeneration of Khovanov homology
• Betti numbers of monomial ideals and shifted skew shapes
• Complexes of directed trees and independence complexes
• Subdivision yields Alexander duality on independence complexes
• Shrinking cell-like decompositions of manifolds. Codimension three
• Circle graph obstructions
• On Khovanov's categorification of the Jones polynomial
• Complexes of directed trees
• A categorification of the Jones polynomial
• Homological thickness and stability of torus knots
• Mutant knots and intersection graphs
• On Stable Khovanov Homology of Torus Knots
• Introduction to Vassiliev Knot Invariants
• THE SPREAD AND EXTREME TERMS OF JONES POLYNOMIALS
• Stabilization of the Khovanov Homotopy Type of Torus Links
• Khovanov homology, its definitions and ramifications
• Extreme coefficients of Jones polynomials and graph theory
• Torsion in Khovanov homology of semi-adequate links
• Simplicial Complexes of Graphs and Hypergraphs with a Bounded Covering Number
• On the imbedding of systems of compacta in simplicial complexes
• Refining the hierarchies of classes of geometric intersection graphs

This page was built for publication: Homotopy type of circle graph complexes motivated by extreme Khovanov homology