117 citations · 248 across the 15 of their papers we have counts for
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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…
Gromov-Witten theory and Donaldson-Thomas theory, I
D. Maulik, N. Nekrasov, A. Okounkov +1
We conjecture an equivalence between the Gromov-Witten theory of 3-folds and the holomorphic Chern-Simons theory of Donaldson-Thomas. For Calabi-Yau 3-folds, the equivalence is def…
Planar dimers and Harnack curves
Richard Kenyon, Andrei Okounkov
In this paper we study the connection between dimers and Harnack curves discovered in math-ph/0311005. We prove that every Harnack curve arises as a spectral curve of some dimer mo…
Virasoro constraints for target curves
Andrei Okounkov, Rahul Pandharipande
We prove generalized Virasoro constraints for the relative Gromov-Witten theories of all nonsingular target curves. Descendents of the even cohomology classes are studied first by…
The equivariant Gromov-Witten theory of P^1
Andrei Okounkov, Rahul Pandharipande
We express all equivariant Gromov-Witten invariants of the projective line as matrix elements of explicit operators acting in the Fock space. As a consequence, we prove the equivar…