Virtual cycles of gauged Witten equation-Reference-Cited by-同舟云学术

Virtual cycles of gauged Witten equation

Published:2020-07-11 Issue:771 Volume:2021 Page:1-64
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Tian Gang¹,Xu Guangbo²^ORCID

Affiliation:

1. Beijing International Center for Mathematical Research , Peking University , Beijing , China

2. Department of Mathematics , Texas A&M University , College Station , TA 77843 , USA

Abstract

Abstract In this paper, we construct virtual cycles on moduli spaces of solutions to the perturbed gauged Witten equation over a fixed smooth r-spin curve, under the framework of [G. Tian and G. Xu, Analysis of gauged Witten equation, J. reine angew. Math. 740 (2018), 187–274]. Together with the wall-crossing formula proved in the companion paper [G. Tian and G. Xu, A wall-crossing formula for the correlation function of gauged linear σ-model, preprint], this paper completes the construction of the correlation function for the gauged linear σ-model announced in [G. Tian and G. Xu, Correlation functions in gauged linear σ-model, Sci. China Math. 59 (2016), 823–838] as well as the proof of its invariance.

Funder

National Science Foundation

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2020-0022/pdf

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