78 citations · 78 across the 4 of their papers we have counts for
4 papers
On double brackets for marked surfaces
Michael Gekhtman, Eugen Rogozinnikov
We propose a construction of a double quasi-Poisson bracket on the group algebra associated to the twisted fundamental group of a marked oriented surface with boundary, whe…
Multiplicative Inequalities In Cluster Algebras Of Finite Type
Michael Gekhtman, Zachary Greenberg, Daniel Soskin
Generalizing the notion of a multiplicative inequality among minors of a totally positive matrix, we describe, over full rank cluster algebras of finite type, the cone of Laurent m…
Associahedra as moment polytopes
Michael Gekhtman, Hugh Thomas
Generalized associahedra are a well-studied family of polytopes associated to a finite-type cluster algebra and choice of starting cluster. We show that the generalized associahedr…
The Cauchy two-matrix model
M. Bertola, M. Gekhtman, J. Szmigielski
We introduce a new class of two(multi)-matrix models of positive Hermitean matrices coupled in a chain; the coupling is related to the Cauchy kernel and differs from the exponentia…