44 citations · 94 across the 3 of their papers we have counts for
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math-ph2009★ 32 cited
Topological expansion of the Bethe ansatz, and quantum algebraic geometry
L. Chekhov, B. Eynard, O. Marchal
In this article, we solve the loop equations of the β-random matrix model, in a way similar to what was found for the case of hermitian matrices β=1. For β=1, the solution was expr…
math-ph2008★ 44 cited
Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry
Bertrand Eynard, Olivier Marchal
In this article, we define a non-commutative deformation of the "symplectic invariants" of an algebraic hyperelliptical plane curve. The necessary condition for our definition to m…