Type
Text
Type
Dissertation
Advisor
Zinger, Aleksey | Starr, Jason | Laza, Radu | Rocek, Martin
Date
2012-08-01
Keywords
equivariant formulas, Gromov-Witten invariants, localization | Mathematics
Department
Department of Mathematics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/71380
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
We show that the standard generating functions for genus 0 two-point twisted Gromov-Witten invariants arising from concavex vector bundles over symplectic toric manifolds are explicit transforms of the corresponding one-point generating functions. The latter are, in turn, transforms of Givental's J-function. We obtain closed formulas for them and, in particular, for two-point Gromov-Witten invariants of non-negative toric complete intersections. Such two-point formulas should play a key role in the computation of genus 1 Gromov-Witten invariants (closed, open, and unoriented) of toric complete intersections as they indeed do in the case of the projective complete intersections. | 84 pages
Recommended Citation
Popa, Alexandra Mihaela, "Two-Point Gromov-Witten Formulas for Symplectic Toric Manifolds" (2012). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 586.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/586