20 citations · 38 across the 7 of their papers we have counts for
7 papers
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…
A New Approach to the Representation Thoery of the Symmetric Groups. 2
A. M. Vershik, A. Yu. Okounkov
The new approach to the theory of complex representrations of the finite symmetric groups which based on the notions of Coxeter generators., Gelfand-Zetlin algebras, Hecke algebra,…
Random surfaces enumerating algebraic curves
Andrei Okounkov
These are notes from my lecture at 4ECM in Stockholm (June 2004).
Gromov-Witten theory and Donaldson-Thomas theory, II
D. Maulik, N. Nekrasov, A. Okounkov +1
We discuss the GW/DT correspondence for 3-folds in both the absolute and relative cases. Descendents in Gromov-Witten theory are conjectured to be equivalent to Chern characters of…
The theta characteristic of a branched covering
Alex Eskin, Andrei Okounkov, Rahul Pandharipande
We give a group-theoretic description of the parity of a pull-back of a theta characteristic under a branched covering. It involves lifting monodromy of the covering to the semidir…