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115975 |
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|a Pandharipande, R.
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Pixton, Aaron C
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|a Pixton, Aaron C
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|a Gromov-Witten/Pairs correspondence for the quintic 3-fold
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|b American Mathematical Society (AMS),
|c 2018-05-30T17:23:05Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/115975
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|a 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].
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|a Article
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|t Journal of the American Mathematical Society
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