4.4 Article

Gromov-Witten Invariants of Toric Fibrations

Journal

INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Volume 2014, Issue 19, Pages 5437-5482

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/imrn/rnt030

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Funding

  1. NSF RTG grant [0602191]
  2. Direct For Mathematical & Physical Scien [1045119] Funding Source: National Science Foundation
  3. Direct For Mathematical & Physical Scien
  4. Division Of Mathematical Sciences [0602191] Funding Source: National Science Foundation
  5. Division Of Mathematical Sciences [1045119] Funding Source: National Science Foundation

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We prove a conjecture of Elezi [6] in a generalized form suggested by Givental [9]. Namely, our main result relates genus-0 Gromov-Witten invariants of a bundle space with such invariants of the base, provided that the fiber is a toric manifold. When the base is the point, a new proof of mirror theorems by Givental [7] and Iritani [14] for toric manifolds is obtained.

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