215 citations · 1.2k across the 39 of their papers we have counts for
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Poisson algebras of block-upper-triangular bilinear forms and braid group action
Leonid Chekhov, Marta Mazzocco
In this paper we study a quadratic Poisson algebra structure on the space of bilinear forms on with the property that for any such that , the restriction…
Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach
L. O. Chekhov, B. Eynard, O. Marchal
We solve the loop equations of the -ensemble model analogously to the solution found for the Hermitian matrices . For β=1$, the solution was expressed using the algebraic s…
Logarithmic potential beta-ensembles and Feynman graphs
L. Chekhov
We present the diagrammatic technique for calculating the free energy of the matrix eigenvalue model (the model with arbitrary power beta by the Vandermonde) to all orders of 1/N e…
Shear coordinate description of the quantised versal unfolding of D_4 singularity
Leonid Chekhov, Marta Mazzocco
In this paper by using Teichmuller theory of a sphere with four holes/orbifold points, we obtain a system of flat coordinates on the general affine cubic surface having a D_4 singu…