Virtual cycles of gauged Witten equation
Symplectic Geometry
2019-05-14 v2 Mathematical Physics
math.MP
Abstract
We construct virtual cycles on moduli spaces of perturbed gauged Witten equation over a fixed smooth r -spin curve, under the framework of [TX15]. Together with the wall-crossing formula proved in the companion paper [TX19], it completes the construction of the correlation function for the gauged linear sigma model announced in [TX16] as well as the proof of its invariance.
Keywords
Cite
@article{arxiv.1602.07638,
title = {Virtual cycles of gauged Witten equation},
author = {Gang Tian and Guangbo Xu},
journal= {arXiv preprint arXiv:1602.07638},
year = {2019}
}
Comments
The original version is split into two parts as requested by the journal. The proof of the wall-crossing formula is given in the companion paper [TX19]. 60 pages