81 citations · 511 across the 27 of their papers we have counts for
14 papers · 1 filter
Lattice paths and quiver generating series with higher level generators
Dušan Đorđević, Marko Stošić
The generalized knots-quivers correspondence extends the original knots-quivers correspondence, by allowing higher level generators of quiver generating series. In this paper we ex…
Tangle addition and the knots-quivers correspondence
Marko Stosic, Paul Wedrich
We prove that the generating functions for the one row/column colored HOMFLY-PT invariants of arborescent links are specializations of the generating functions of the motivic Donal…
Rational links and DT invariants of quivers
Marko Stosic, Paul Wedrich
We prove that the generating functions for the colored HOMFLY-PT polynomials of rational links are specializations of the generating functions of the motivic Donaldson-Thomas invar…
On extended graphical calculus for categorified quantum
Marko Stosic
We study the properties of the extended graphical calculus for categorified quantum . The main results include proofs of Reidemeister 2 and Reidemeister 3-like moves involvi…
Quadruply-graded colored homology of knots
Eugene Gorsky, Sergei Gukov, Marko Stosic
We conjecture the existence of four independent gradings in the colored HOMFLY homology. We describe these gradings explicitly for the rectangular colored homology of torus knots a…
Indecomposable 1-morphisms of \dot{U}^+_3 and the canonical basis of U_q^+(sl_3)
Marko Stosic
We compute the indecomposable objects of \dot{U}^+_3 - the category that categorifies the positive half of the quantum sl_3, and we decompose an arbitrary object into indecomposabl…
A diagrammatic categorification of the q-Schur algebra
Marco Mackaay, Marko Stosic, Pedro Vaz
In this paper we categorify the q-Schur algebra S(n,d) as a quotient of Khovanov and Lauda's diagrammatic 2-category U(sln). We also show that our 2-category contains Soergel's mon…
Extended graphical calculus for categorified quantum sl(2)
Mikhail Khovanov, Aaron D. Lauda, Marco Mackaay +1
A categorification of the Beilinson-Lusztig-MacPherson form of the quantum sl(2) was constructed in the paper arXiv:0803.3652 by the second author. Here we enhance the graphical ca…
Hochschild homology of certain Soergel bimodules
Marko Stosic
In this paper we compute Hochschild homology of certain Soergel bimodules. Moreover, we describe explicitly the graded bimodule maps between Soergel bimodules. This computations ar…
The 1,2-coloured HOMFLY-PT link homology
Marco Mackaay, Marko Stosic, Pedro Vaz
In this paper we define the 1,2-coloured HOMFLY-PT link homology and prove that it is a link invariant. We conjecture that this homology categorifies the coloured HOMFLY-PT polynom…
Homology of torus links
Marko Stosic
In this paper we show that there is a cut-off in the Khovanov homology of -torus links, namely that the maximal homological degree of non-zero homology group of $(2k,2kn)…
Khovanov homology of links and graphs
Marko Stosic
In this thesis we work with Khovanov homology of links and its generalizations, as well as with the homology of graphs. Khovanov homology of links consists of graded chain complexe…
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…
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…