Virtual cycles of gauged Witten equation

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.

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

References in corpus (4)

• The Witten equation and its virtual fundamental cycle
• Mixed-Spin-P fields of Fermat quintic polynomials
• Kuranishi homology and Kuranishi cohomology
• Morse theory for Lagrange multipliers and adiabatic limits