Gromov-Witten/Pairs correspondence for the quintic 3-fold
Author(s)
Pandharipande, R.; Pixton, Aaron C
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We use the Gromov-Witten/Pairs (GW/P) descendent correspondence for toric 3-folds and degeneration arguments to establish the GW/P correspondence for several compact Calabi-Yau (CY) 3-folds (including all CY complete intersections in products of projective spaces). A crucial aspect of the proof is the study of the GW/P correspondence for descendents in relative geometries. Projective bundles over surfaces relative to a section play a special role. The GW/P correspondence for Calabi-Yau complete intersections provides a structure result for the Gromov-Witten invariants in a fixed curve class. After a change of variables, the Gromov-Witten series is a rational function in the variable -q=e[superscript iu] invariant under q ↔ q[subscript -1].
Date issued
2016-03Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Journal of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Citation
Pandharipande, R. and A. Pixton. “Gromov-Witten/Pairs Correspondence for the Quintic 3-Fold.” Journal of the American Mathematical Society 30, 2 (March 2016): 389–449 © 2016 American Mathematical Society
Version: Final published version
ISSN
0894-0347
1088-6834