To a presentation of an oriented link as the closure of a braid we assign a complex of bigraded vector spaces. The Euler characteristic of this complex (and of its triply-graded cohomology groups) is the HOMFLYPT polynomial of the link. We show that the dimension of each cohomology group is a link invariant
Using the recently proposed differential hierarchy (Z-expansion) technique, we obtain a general expr...
Abstract. In [14], [15] the author showed how to decompose the Khovanov ho-mology of a link L into t...
In the first part of this paper, we constructed a filtered U(r)-equivariant stable homotopy type cal...
To a presentation of an oriented link as the closure of a braid we assign a complex of bigraded vect...
We define a triply-graded invariant of links in a genus g handlebody, generalizing the colored HOMFL...
We describe a family of 3d topological B-models whose target spaces are Hilbert schemes of points in...
AbstractFor each positive integer n, Khovanov and Rozansky constructed an invariant of links in the ...
We construct an action of a polynomial ring on the colored sl(2) link homology of Cooper-Krushkal, o...
Introduction en françaisThis thesis is devoted to the categorification of polynomial invariants of g...
In 2006 Khovanov and Rozansky introduced a triply-graded link homology theory categorifying the HOMF...
This work provides the topological background and a preliminary study for the analogue of the 2-vari...
We prove that the bigraded colored Khovanov-Rozansky type A link and tangle invariants are functoria...
We elaborate on the simple alternative [1] to the matrix-factorization construction of Khovanov-Roza...
In this thesis we work with Khovanov homology of links and its generalizations, as well as with the ...
For each positive integer n the HOMFLY polynomial of links specializes to a one-variable po...
Using the recently proposed differential hierarchy (Z-expansion) technique, we obtain a general expr...
Abstract. In [14], [15] the author showed how to decompose the Khovanov ho-mology of a link L into t...
In the first part of this paper, we constructed a filtered U(r)-equivariant stable homotopy type cal...
To a presentation of an oriented link as the closure of a braid we assign a complex of bigraded vect...
We define a triply-graded invariant of links in a genus g handlebody, generalizing the colored HOMFL...
We describe a family of 3d topological B-models whose target spaces are Hilbert schemes of points in...
AbstractFor each positive integer n, Khovanov and Rozansky constructed an invariant of links in the ...
We construct an action of a polynomial ring on the colored sl(2) link homology of Cooper-Krushkal, o...
Introduction en françaisThis thesis is devoted to the categorification of polynomial invariants of g...
In 2006 Khovanov and Rozansky introduced a triply-graded link homology theory categorifying the HOMF...
This work provides the topological background and a preliminary study for the analogue of the 2-vari...
We prove that the bigraded colored Khovanov-Rozansky type A link and tangle invariants are functoria...
We elaborate on the simple alternative [1] to the matrix-factorization construction of Khovanov-Roza...
In this thesis we work with Khovanov homology of links and its generalizations, as well as with the ...
For each positive integer n the HOMFLY polynomial of links specializes to a one-variable po...
Using the recently proposed differential hierarchy (Z-expansion) technique, we obtain a general expr...
Abstract. In [14], [15] the author showed how to decompose the Khovanov ho-mology of a link L into t...
In the first part of this paper, we constructed a filtered U(r)-equivariant stable homotopy type cal...
DOI
Add to ORKG