Gauged Gromov-Witten theory for small spheres
Symplectic Geometry
2015-03-27 v6 Algebraic Geometry
Abstract
For smooth projective G-varieties, we equate the gauged Gromov-Witten invariants for sufficiently small area and genus zero with the invariant part of equivariant Gromov-Witten invariants. As an application we deduce a gauged version of abelianization for Gromov-Witten invariants. In the symplectic setting, we prove that any sequence of genus zero symplectic vortices with vanishing area has a subsequence that converges after gauge transformation to a holomorphic map with zero average moment map.
Keywords
Cite
@article{arxiv.0907.3869,
title = {Gauged Gromov-Witten theory for small spheres},
author = {Eduardo Gonzalez and Chris Woodward},
journal= {arXiv preprint arXiv:0907.3869},
year = {2015}
}
Comments
33 pages. Reference to a paper of D. Halpern-Leistner, fixing a gap in one of the arguments, added