Abstract. We describe a “concentration on the diagonal ” condition on the Khovanov com-plex 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 diagonals. Thus our condition is a generalization of Lee’s Theorem t
We give examples of knots distinguished by the total rank of their Khovanov homology but sharing the...
AbstractWe construct an endomorphism of the Khovanov invariant to prove H-thinness and pairing pheno...
Abstract. In [14], [15] the author showed how to decompose the Khovanov ho-mology of a link L into t...
Abstract. We describe a “concentration on the diagonal ” condition on the Khovanov com-plex of tangl...
We show that the Khovanov complex of a connected link diagram D retracts to a subcomplex whose gener...
We use a special kind of 2-dimensional extended Topological Quantum Field Theories (TQFTs), so-calle...
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003.Includes bibliogra...
Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to g...
The aim of this thesis is to describe the Khovanov homology of rational tangles. To this extent we d...
Im ersten Teil die Dissertation reformieren wir die Murakami-Ohtsuki-Yamada-Summen-Beschreibung des ...
Abstract. We describe a generalization of the state sum approach to the Jones poly-nomial (using the...
Khovanov homology is a combinatorially-defined invariant of knots and links, with various generaliza...
We generalize the symplectically-defined link homology theory developed by Paul Seidel and Ivan Smit...
We provide new evidence that the tangle calculus and "evolution" are applicable to the Khovanov poly...
We use a spanning tree model to prove a result of E. S. Lee on the support of Khovanov homology of a...
We give examples of knots distinguished by the total rank of their Khovanov homology but sharing the...
AbstractWe construct an endomorphism of the Khovanov invariant to prove H-thinness and pairing pheno...
Abstract. In [14], [15] the author showed how to decompose the Khovanov ho-mology of a link L into t...
Abstract. We describe a “concentration on the diagonal ” condition on the Khovanov com-plex of tangl...
We show that the Khovanov complex of a connected link diagram D retracts to a subcomplex whose gener...
We use a special kind of 2-dimensional extended Topological Quantum Field Theories (TQFTs), so-calle...
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003.Includes bibliogra...
Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to g...
The aim of this thesis is to describe the Khovanov homology of rational tangles. To this extent we d...
Im ersten Teil die Dissertation reformieren wir die Murakami-Ohtsuki-Yamada-Summen-Beschreibung des ...
Abstract. We describe a generalization of the state sum approach to the Jones poly-nomial (using the...
Khovanov homology is a combinatorially-defined invariant of knots and links, with various generaliza...
We generalize the symplectically-defined link homology theory developed by Paul Seidel and Ivan Smit...
We provide new evidence that the tangle calculus and "evolution" are applicable to the Khovanov poly...
We use a spanning tree model to prove a result of E. S. Lee on the support of Khovanov homology of a...
We give examples of knots distinguished by the total rank of their Khovanov homology but sharing the...
AbstractWe construct an endomorphism of the Khovanov invariant to prove H-thinness and pairing pheno...
Abstract. In [14], [15] the author showed how to decompose the Khovanov ho-mology of a link L into t...