Skip to main content
Article thumbnail
Location of Repository

Contents

By Dror Bar-natan and Hernando Burgos-soto

Abstract

Abstract. We describe a “concentration on the diagonal ” condition on the Khovanov complex of tangles, show that this condition is satisfied by the Khovanov complex of the single crossing tangles (!) and ("), and prove that it is preserved by alternating planar algebra compositions. Hence, this condition is satisfied by the Khovanov complex of all alternating tangles. Finally, in the case of 0-tangles, meaning links, our condition is equivalent to a well known result [Lee1] which states that the Khovanov homology of a non-split alternating link is supported in two lines. Thus our condition is a generalization of Lee’s Theorem to th

Topics: 4.1. Applying unary operators 9
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.5295
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://drorbn.net/AcademicPens... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.