10 citations · 44 across the 15 of their papers we have counts for
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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…
Tunnels Under Geometries (or Instantons Know Their Algebras)
Dmitry Galakhov, Alexei Morozov
In the tight binding model with multiple degenerate vacua we might treat wave function overlaps as instanton tunnelings between different wells (vacua). An amplitude for such a tun…
Super-Hamiltonians for super-Macdonald polynomials
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
The Macdonald finite-difference Hamiltonian is lifted to a super-generalization. In addition to canonical bosonic time variables new Grassmann time variables are introd…