21 citations · 78 across the 17 of their papers we have counts for
18 papers
Two roles of Alexander in two Kashaev phases
Dmitry Galakhov, Alexei Morozov
The crucial feature of resurgence theory is the ambiguity of non-perturbative behavior, reflected either in the different choices of integration contours or in the existence of sev…
Shading A-polynomials via huge representations of
Dmitry Galakhov, Alexei Morozov
Classical A-polynomials define constraints on coordinates and in (a complexification of ) character varieties associated to knot co…
Reductions in Khovanov-Rozansky operator formalism
D. Galakhov, E. Lanina, A. Morozov
Sophisticated Khovanov-Rozansky (KhR) description of knot invariants in the fundamental representation can be reformulated in terms of bicomplex with a simple physical meaning. Nam…
Weyl Mutations in Quiver Yangians
Dmitry Galakhov, Alexei Gavshin, Alexei Morozov
The problem of solving non-linear equations would be considerably simplified by a possibility to convert known solutions into the new ones. This could seem an element of art, but i…
Operator lift of Reshetikhin-Turaev formalism to Khovanov-Rozansky TQFTs
Dmitry Galakhov, Elena Lanina, Alexei Morozov
Topological quantum field theory (TQFT) is a powerful tool to describe homologies, which normally involve complexes and a variety of maps/morphisms, what makes a functional integra…
On geometric bases for A-polynomials II: and Kuberberg bracket
Dmitry Galakhov, Alexei Morozov
We continue the study of quantum A-polynomials -- equations for knot polynomials with respect to their coloring (representation-dependence) -- as the relations between different li…