51 citations · 168 across the 26 of their papers we have counts for
31 papers
Tau function and moduli of meromorphic forms on algebraic curves
Dmitry Korotkin, Peter Zograf
We study the moduli space of meromorphic 1-forms on complex algebraic curves having at most simple poles with fixed nonzero residues. We interpret the Bergman tau function on this…
Generating function of monodromy symplectomorphism for Fuchsian systems and its WKB expansion
Marco Bertola, Fabrizio Del Monte, Dmitry Korotkin
We study the WKB expansion of system of linear differential equations with four fuchsian singularities. The main focus is on the generating function of the monodromy sy…
On the tau function of the hypergeometric equation
Marco Bertola, Dmitry Korotkin
The monodromy map for a rank-two system of differential equations with three Fuchsian singularities is classically solved by the Kummer formulæ for Gauss' hypergeometric functions.…
Tau Function and Moduli of Meromorphic Quadratic Differentials
Dmitry Korotkin, Peter Zograf
The Bergman tau functions are applied to the study of the Picard group of moduli spaces of quadratic differentials with at most simple poles on genus complex algebraic curv…
WKB expansion of Yang-Yang generating function and Bergman tau-function
Marco Bertola, Dmitry Korotkin
We study the symplectic properties of the monodromy map of second order equations on a Riemann surface whose potential is meromorphic with double poles. We show that the Poisson br…
Extended Goldman symplectic structure in Fock-Goncharov coordinates
Marco Bertola, Dmitry Korotkin
The goal of this paper is to express the extended Goldman symplectic structure on the character variety of a punctured Riemann surface in terms of Fock-Goncharov coordinate…