104 citations · 576 across the 29 of their papers we have counts for
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math.SG2019
Tau-functions and monodromy symplectomorphisms
Marco Bertola, Dmitry Korotkin
We derive a new Hamiltonian formulation of Schlesinger equations in terms of the dynamical -matrix structure. The corresponding symplectic form is shown to be the pullback, unde…
math-ph2019★ 7 cited
Rationally weighted Hurwitz numbers, Meijer -functions and matrix integrals
M. Bertola, J. Harnad
The quantum spectral curve equation associated to KP -functions of hypergeometric type serving as generating functions for rationally weighted Hurwitz numbers is solved by gener…
math-ph2019★ 4 cited
Generating weighted Hurwitz numbers
M. Bertola, J. Harnad, B. Runov
Multicurrent correlators associated to KP -functions of hypergeometric type are used as generating functions for weighted Hurwitz numbers. These are expressed as formal Taylor s…