Legendrian links and the spanning tree model for Khovanov homology

Hao Wu

Type: Article

Publication Date: 2006-10-21

Citations: 3

DOI: https://doi.org/10.2140/agt.2006.6.1745

Abstract

Legendrian links and the spanning tree model for Khovanov homology HAO WUWe use the spanning tree model for Khovanov homology to study Legendrian links.This leads to an alternative proof for Ng's Khovanov bound for the Thurston-Bennequin number and to both a necessary and a sufficient condition for this bound to be sharp.

Locations

Algebraic & Geometric Topology - View - PDF
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A Legendrian Thurston–Bennequin bound from Khovanov homology	2005	Lenhard Ng
+	A spanning tree model for Khovanov homology	2004	Stephan M. Wehrli
+ PDF Chat	A SPANNING TREE MODEL FOR KHOVANOV HOMOLOGY	2008	Suzanne Wehrli
+ PDF Chat	Khovanov homology and ribbon concordances	2019	Adam Simon Levine Ian Zemke
+	Khovanov homology of graph-links	2010	Igor Nikonov
+	On Khovanov Homology and Related Invariants	2020	Carmen Caprau Nicolle González Christine Ruey Shan Lee Adam M. Lowrance Radmila Sazdanović Melissa Zhang
+	Spanning trees and Khovanov homology	2009	Abhijit Champanerkar Ilya Kofman
+	Spanning trees and Khovanov homology	2006	Abhijit Champanerkar Ilya Kofman
+	Spanning trees and Khovanov homology	2006	Abhijit Champanerkar Ilya Kofman
+	Patterns in odd Khovanov homology	2011	Alexander N. Shumakovitch
+	Patterns in odd Khovanov homology	2011	Alexander N. Shumakovitch
+ PDF Chat	A Khovanov Laplacian for Knots and Links	2024	Benjamin F. Jones Guo‐Wei Wei
+	A generalized skein relation for Khovanov homology and a categorification of the $\theta$-invariant.	2019	Maria Chlouveraki Dimos Goundaroulis Aristides Kontogeorgis Sofia Lambropoulou
+	Khovanov homology for links in $\#^r(S^2\times S^1)$	2018	Michael Willis
+	Khovanov homology for links in $\#^r(S^2\times S^1)$	2018	Michael Willis
+	The Potts Model, the Jones Polynomial and Link Homology	2022	Louis H. Kauffman
+	A generalized skein relation for Khovanov homology and a categorification of the $θ$-invariant	2019	Maria Chlouveraki Dimos Goundaroulis Aristides Kontogeorgis Sofia Lambropoulou
+	Khovanov homology theories and their applications	2011	Alexander N. Shumakovitch
+ PDF Chat	Khovanov Homology Theories and Their Applications	2011	Alexander N. Shumakovitch
+	Khovanov homology as an generalization of the Jones polynomial in Kauffman terms	2016	Heather Tram

Works That Cite This (3)

Action	Title	Year	Authors
+	A skein approach to Bennequin type inequalities	2007	Lenhard Ng
+	Contributions to Khovanov Homology	2008	Stephan M. Wehrli
+ PDF Chat	A Skein Approach to Bennequin-Type Inequalities	2008	Lenhard Ng

Works Cited by This (10)

Action	Title	Year	Authors
+	The support of the Khovanov's invariants for alternating knots	2002	Eun Soo Lee
+ PDF Chat	Transverse knots and Khovanov homology	2006	Olga Plamenevskaya
+ PDF Chat	Khovanov homology and the slice genus	2010	Jacob Rasmussen
+	The Thurston-Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: The Fuchs conjecture and beyond	2006	Drew Rutherford
+	Spanning trees and Khovanov homology	2009	Abhijit Champanerkar Ilya Kofman
+	A spanning tree expansion of the jones polynomial	1987	Morwen Thistlethwaite
+ PDF Chat	An endomorphism of the Khovanov invariant	2004	Eun Soo Lee
+ PDF Chat	A categorification of the Jones polynomial	2000	Mikhail Khovanov
+ PDF Chat	A SPANNING TREE MODEL FOR KHOVANOV HOMOLOGY	2008	Suzanne Wehrli
+ PDF Chat	A Legendrian Thurston–Bennequin bound from Khovanov homology	2005	Lenhard Ng