423 citations · 689 across the 30 of their papers we have counts for
33 papers
Higher genus meanders and Masur-Veech volumes
Vincent Delecroix, Elise Goujard, Peter Zograf +1
A meander can be seen as a pair of transversally intersecting simple closed curves on a 2-sphere. We consider pairs of transversally intersecting simple closed curves on a closed o…
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…
Gravity as an ensemble and the moment problem
Oliver Janssen, Mehrdad Mirbabayi, Peter Zograf
If a bulk gravitational path integral can be identified with an average of partition functions over an ensemble of boundary quantum theories, then a corresponding moment problem ca…
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.
Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves
Vincent Delecroix, Elise Goujard, Peter Zograf +1
We express the Masur-Veech volume and the area Siegel-Veech constant of the moduli space of genus meromorphic quadratic differentials with simple poles…