423 citations · 689 across the 30 of their papers we have counts for
12 papers · 1 filter
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…
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…
An explicit formula for Witten's 2-correlators
Peter Zograf
An explicit closed form expression for 2-correlators of Witten's two dimensional topological gravity is derived in arbitrary genus.
Tau functions, Prym-Tyurin classes and loci of degenerate differentials
Dmitri Korotkin, Adrien Sauvaget, Peter Zograf
We study the rational Picard group of the projectivized moduli space of holomorphic n-differentials on complex genus g stable curves. We define (n - 1) natural classes in this Pica…
Local index theorem for orbifold Riemann surfaces
Leon A. Takhtajan, Peter Zograf
We derive a local index theorem in Quillen's form for families of Cauchy-Riemann operators on orbifold Riemann surfaces (or Riemann orbisurfaces) that are quotients of the hyperbol…
Towards large genus asymtotics of intersection numbers on moduli spaces of curves
Maryam Mirzakhani, Peter Zograf
We explicitly compute the diverging factor in the large genus asymptotics of the Weil-Petersson volumes of the moduli spaces of -pointed complex algebraic curves. Modulo a unive…