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…
On the geometric algebras of the Ising model
N. Johnson, D. Marenduzzo, A. Morozov +2
We revisit the classical transfer matrix solution of the one- and two-dimensional Ising model from the perspective of Clifford and conformal geometric algebras. Building on Kaufman…
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…