81 citations · 511 across the 27 of their papers we have counts for
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Properties of Khovanov homology for positive braid knots
Marko Stosic
In this paper we solve one open problem from \cite{pat} and give some generalizations. Namely, we prove that the first homology group of positive braid knot is trivial. Also, we sh…
Homological thickness and stability of torus knots
Marko Stosic
In this paper we show that the non-alternating torus knots are homologically thick, i.e. that their Khovanov homology occupies at least three diagonals. Furthermore, we show that w…
New Categorifications of the Chromatic and the Dichromatic Polynomials for Graphs
Marko Stosic
In this paper, for each graph , we def\mbox{}ine a chain complex of graded modules over the ring of polynomials, whose graded Euler characteristic is equal to the chromatic poly…
Categorification of the Dichromatic Polynomial for Graphs
Marko Stosic
For each graph and each positive integer , we define a chain complex whose graded Euler characteristic is equal to an appropriate -specialization of the dichromatic polynomia…