259 citations · 2.1k across the 73 of their papers we have counts for
4 papers · 1 filter
The local Donaldson-Thomas theory of curves
A. Okounkov, R. Pandharipande
The local Donaldson-Thomas theory of curves is solved by localization and degeneration methods. The results complete a triangle of equivalences relating Gromov-Witten theory, Donal…
Limit shapes and the complex burgers equation
Richard Kenyon, Andrei Okounkov
In this paper we study surfaces in R^3 that arise as limit shapes in a class of random surface models arising from dimer models. The limit shapes are minimizers of a surface tensio…
Pillowcases and quasimodular forms
Alex Eskin, Andrei Okounkov
We prove that natural generating functions for enumeration of branched coverings of the pillowcase orbifold are level 2 quasimodular forms. This gives a way to compute the volumes…
Random skew plane partitions and the Pearcey process
Andrei Okounkov, Nicolai Reshetikhin
We study random skew 3D partitions weighted by and, specifically, the asymptotics of local correlations near various points of the limit shape. We obtai…