6 citations · 9 across the 3 of their papers we have counts for
4 papers
Cluster structure on genus 2 spherical DAHA: seven-colored flower
Semeon Arthamonov, Leonid Chekhov, Philippe Di Francesco +4
We construct an embedding of the Arthamonov-Shakirov algebra of genus 2 knot operators into the quantized coordinate ring of the cluster Poisson variety of exceptional finite mutat…
Fenchel--Nielsen coordinates and Goldman brackets
Leonid O. Chekhov
We explicitly show that the Poisson bracket on the set of shear coordinates introduced by V.V. Fock in 1997 induces the Fenchel--Nielsen bracket on the set of gluing parameters (le…
Darboux coordinates for symplectic groupoid and cluster algebras
L. Chekhov, M. Shapiro
Using Fock--Goncharov higher Teichmüller space variables we derive Darboux coordinate representation for entries of general symplectic leaves of the groupoid of uppe…
Spectral problem on graphs and L-functions
L. Chekhov
The scattering process on multiloop infinite p+1-valent graphs (generalized trees) is studied. These graphs are discrete spaces being quotients of the uniform tree over free acting…