Higher genus quasimap wall-crossing for semi-positive targets
Algebraic Geometry
2015-05-22 v2
Abstract
In previous work (arXiv:1304.7056) we have conjectured wall-crossing formulas for genus zero quasimap invariants of GIT quotients and proved them via localization in many cases. We extend these formulas to higher genus when the target is semi-positive, and prove them for semi-positive toric varieties, in particular for toric local Calabi-Yau targets. The proof also applies to local Calabi-Yau's associated to some non-abelian quotients.
Keywords
Cite
@article{arxiv.1308.6377,
title = {Higher genus quasimap wall-crossing for semi-positive targets},
author = {Ionut Ciocan-Fontanine and Bumsig Kim},
journal= {arXiv preprint arXiv:1308.6377},
year = {2015}
}
Comments
A missing correction term in genus 1 is now included in the statements of Conjectures 1.2.1-1.2.2. Minor changes in exposition, as suggested by the referee. Final version, to appear in JEMS