3 papers
math.GT2013
Khovanov homology for alternating tangles
Dror Bar-Natan, Hernando Burgos-Soto
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 tan…
math.GT2010
A binary operation on the class of coherently diagonal complexes
Hernando Burgos-Soto
We use mathematical induction to prove that the horizontal composition in the class of coherently diagonal complexes is indeed a binary operation. That is to say, the embedding of…
math.GT2008
The Jones polynomial and the planar algebra of alternating links
Hernando Burgos-Soto
It is a well known result from Thistlethwaite that the Jones polynomial of a non-split alternating link is alternating. We find the right generalization of this result to the case…