Gromov–Witten Invariants of Toric Fibrations

By Jeffrey Brown. 2009

68 citations recorded by the source corpus.

Author(s): Brown, Jeffrey Steven | Advisor(s): Givental, Alexander B | Abstract: We prove a conjecture of Artur Elezi in a generalized form suggested by Givental. 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 A. Givental and H. Iritani for toric manifolds is obtained.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/42382d2287d011af9bb20e537b64a330a065317d