Virtual cycles of gauged Witten equation Academic Article uri icon

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), 187274]. 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 -model, preprint], this paper completes the construction of the correlation function for the gauged linear -model announced in [G. Tian and G. Xu, Correlation functions in gauged linear -model, Sci. China Math. 59 (2016), 823838] as well as the proof of its invariance.

published proceedings

  • JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

author list (cited authors)

  • Tian, G., & Xu, G.

citation count

  • 0

complete list of authors

  • Tian, Gang||Xu, Guangbo

publication date

  • February 2021