9 citations · 9 across the 1 of their papers we have counts for
9 papers
A topological view of Gromov-Witten theory
D. Maulik, R. Pandharipande
We study relative Gromov-Witten theory via universal relations provided by the interaction of degeneration and localization. We find relative Gromov-Witten theory is completely det…
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…
Convex rationally connected varieties
R. Pandharipande
Nonsingular projective varieties which are both convex and rationally connected are considered. We ask whether such varieties must be algebraic homogeneous spaces G/P. In case X is…
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…
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…