Gauged linear sigma model in geometric phase. II. the virtual cycle

TL;DR

This paper details the construction of virtual cycles essential for defining the cohomological field theory related to gauged linear sigma models in the geometric phase, advancing mathematical understanding in this area.

Contribution

It introduces a detailed method for constructing virtual cycles in the context of gauged linear sigma models, enabling rigorous mathematical formulation.

Findings

Constructed virtual cycles for gauged linear sigma models

Established foundations for cohomological field theories in geometric phase

Enhanced mathematical tools for studying gauge theories

Abstract

We provide the detailed construction of the virtual cycles needed for defining the cohomological field theory associated to a gauged linear sigma model in geometric phase.