9 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…
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…
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…
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…