3 papers
math.CO2026
Electrical networks, Grassmannians, and cluster algebras
B. Bychkov, L. Guterman, A. Kazakov
The paper studies the problem of circular total positivity of the symmetric matrices with zero row sums. These matrices are exactly response matrices of the electrical networks. Al…
math.AG2026
A new family of weighted double Hurwitz numbers and a new ELSV-type formula with -classes
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We analyze a new family of weighted double Hurwitz numbers that was introduced as a notable example in the context of the duality for logarithmic topological recursion. We us…
math.CO2024
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…