R
Rahul Pandharipande
Researcher at ETH Zurich
Publications - 208
Citations - 14298
Rahul Pandharipande is an academic researcher from ETH Zurich. The author has contributed to research in topics: Moduli space & Equivariant map. The author has an hindex of 61, co-authored 204 publications receiving 13278 citations. Previous affiliations of Rahul Pandharipande include Princeton University & California Institute of Technology.
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Mirror Symmetry
Eric Zaslow,Ravi Vakil,Kentaro Hori,Richard P. Thomas,Cumrun Vafa,Albrecht Klemm,Rahul Pandharipande,Sheldon Katz +7 more
TL;DR: In this paper, the authors proved mirror symmetry for supersymmetric sigma models on Calabi-Yau manifolds in 1+1 dimensions and showed that the equivalence of the gauged linear sigma model embedded in a theory with an enlarged gauge symmetry, with a Landau-Ginzburg theory of Toda type Standard R -> 1/R duality and dynamical generation of superpotential by vortices.
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Localization of virtual classes
T. Graber,Rahul Pandharipande +1 more
TL;DR: In this paper, the authors prove a localization formula for virtual fundamental classes in the context of torus equivariant perfect obstruction theories, where the higher genus Gromov-Witten invariants of projective space are expressed as graph sums of tautological integrals over moduli spaces of stable pointed curves.
Posted Content
Notes on stable maps and quantum cohomology
W. Fulton,Rahul Pandharipande +1 more
TL;DR: In this article, the authors present notes from a jointly taught class at the University of Chicago and lectures by the first author in Santa Cruz, discussing moduli spaces of stable maps, Gromov-Witten invariants, quantum cohomology, and examples.
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Gromov-Witten theory and Donaldson-Thomas theory, I
TL;DR: In this paper, the Gromov-Witten/Donaldson-Thomas correspondence for 3-folds in both the absolute and relative cases was discussed. And degree 0 formulas were proved for both the relative and absolute versions of the theory for toric varieties.
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Hodge integrals and Gromov-Witten theory
Carel Faber,Rahul Pandharipande +1 more
TL;DR: In this article, a universal system of differential equations is proposed to determine the generating function of the Chern classes of the Hodge bundle in Gromov-Witten theory for any target X. The genus g, degree d multiple cover contribution of a rational curve is found to be simply proportional to the Euler characteristic of M_g.