Higher genus quasimap wall-crossing for semi-positive targets

By Ionut Ciocan-Fontanine, Bumsig Kim. 2013

55 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9c90e566c411570a12184974a26c44a9eaf452c6

Citations in the corpus

• QUANTUM KIRWAN MORPHISM AND GROMOV-WITTEN INVARIANTS OF QUOTIENTS I (2012, unknown): “See [10], [9] for more recent work.”