10 citations · 44 across the 15 of their papers we have counts for
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On geometric bases for quantum A-polynomials of knots
Dmitry Galakhov, Alexei Morozov
A simple geometric way is suggested to derive the Ward identities in the Chern-Simons theory, also known as quantum - and -polynomials for knots. In quasi-classical limit it…
Macdonald polynomials for super-partitions
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
We introduce generalization of famous Macdonald polynomials for the case of super-Young diagrams that contain half-boxes on the equal footing with full boxes. These super-Macdonald…
Supersymmetric polynomials and algebro-combinatorial duality
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
In this note we develop a systematic combinatorial definition for constructed earlier supersymmetric polynomial families. These polynomial families generalize canonical Schur, Jack…
Algorithms for representations of quiver Yangian algebras
Dmitry Galakhov, Alexei Gavshin, Alexei Morozov +1
In this note, we aim to review algorithms for constructing crystal representations of quiver Yangians in detail. Quiver Yangians are believed to describe an action of the BPS algeb…
Wall-Crossing Effects on Quiver BPS Algebras
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
BPS states in supersymmetric theories can admit additional algebro-geometric structures in their spectra, described as quiver Yangian algebras. Equivariant fixed points on the quiv…
Simple Representations of BPS Algebras: the case of
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
BPS algebras are the symmetries of a wide class of brane-inspired models. They are closely related to Yangians -- the peculiar and somewhat sophisticated limit of DIM algebras. Sti…