104 citations · 343 across the 17 of their papers we have counts for
6 papers · 1 filter
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…
Curves in Calabi-Yau 3-folds and Topological Quantum Field Theory
Jim Bryan, Rahul Pandharipande
We continue our study of the local Gromov-Witten invariants of curves in Calabi-Yau 3-folds. We define relative invariants for the local theory which give rise to a 1+1-dimensional…
Relative maps and tautological classes
C. Faber, R. Pandharipande
The moduli space of stable relative maps to the projective line combines features of stable maps and admissible covers. We prove all standard Gromov-Witten classes on these moduli…
Three questions in Gromov-Witten theory
R. Pandharipande
This article accompanies my ICM talk in August 2002. Three conjectural directions in Gromov-Witten theory are discussed: Gorenstein properties, BPS states, and Virasoro constraints…