54 citations · 193 across the 21 of their papers we have counts for
22 papers
Quantum K--theory of Grassmannians from a Yang-Baxter algebra
Vassily Gorbounov, Christian Korff, Leonardo C. Mihalcea
In an earlier paper, two of the authors defined a -vertex Yang-Baxter algebra (a Hopf algebra) which acts on the sum of the equivariant quantum K-rings of Grassmannians $\mathrm…
Electrical networks and data analysis in phylogenetics
V. Gorbounov, A. Kazakov
A classic problem in data analysis is studying the systems of subsets defined by either a similarity or a dissimilarity function on which is either observed directly or derived…
Symplectic geometry of electrical networks
Boris Bychkov, Vassily Gorbounov, Lazar Guterman +1
In this paper we relate a well-known in symplectic geometry compactification of the space of symmetric bilinear forms considered as a chart of the Lagrangian Grassmannian to the sp…
Generalized electrical Lie algebras
Arkady Berenstein, Azat Gainutdinov, Vassily Gorbounov
We generalize the electrical Lie algebras originally introduced by Lam and Pylyavskyy in several ways. To each Kac-Moody Lie algebra we associate two types (vertex t…
Electrical Networks, Lagrangian Grassmannians and Symplectic Groups
Boris Bychkov, Vassily Gorbounov, Anton Kazakov +1
We refine the result of T. Lam \cite{L} on embedding the space of electrical networks on a planar graph with boundary points into the totally non-negative Grassmannian $\…
With Wronskian through the Looking Glass
Vassily Gorbounov, Vadim Schechtman
In the work of Mukhin and Varchenko from 2002 there was introduced a Wronskian map from the variety of full flags in a finite dimensional vector space into a product of projective…