187 citations · 847 across the 47 of their papers we have counts for
50 papers
A categorification of representations of
Alexei Oblomkov, Lev Rozansky
We categorify the action of on the tensor product of its vector representations . The generators and are represen…
Matrix factorizations and -quantum invariants
Alexei Oblomkov, Lev Rozansky
In our previous papers we used the Hilbert scheme of points on in order to construct a triply graded link homology and its version. Here we extend the constru…
New quiver-like varieties and Lie superalgebras
Richard Rimanyi, Lev Rozansky
In order to extend the geometrization of Yangian -matrices from Lie algebras to superalgebras , we introduce new quiver-related varieties which are associated w…
Soergel bimodules and matrix factorizations
Alexei Oblomkov, Lev Rozansky
We establish an isomorphism between the Khovanov-Rozansky triply graded link homology and the geometric triply graded homology due to the authors. Hence we provide an interpretatio…
Evaluating thin flat surfaces
Mikhail Khovanov, You Qi, Lev Rozansky
We consider recognizable evaluations for a suitable category of oriented two-dimensional cobordisms with corners between finite unions of intervals. We call such cobordisms thin fl…
Dualizable link homology
Alexei Oblomkov, Lev Rozansky
We modify our previous construction of link homology in order to include a natural duality functor . To a link we associate a triply-graded module over t…