Wall-crossing for quasimaps to GIT stack bundles

TL;DR

This paper introduces the concept of epsilon-stable quasimaps to GIT stack bundles and investigates how the associated quasimap theory changes as the stability parameter epsilon varies, revealing wall-crossing phenomena.

Contribution

It defines epsilon-stable quasimaps for GIT stack bundles and analyzes their wall-crossing behavior, a novel extension in the study of quasimap theories.

Findings

Characterization of wall-crossing behavior in quasimap invariants

New framework for epsilon-stable quasimaps to GIT stacks

Insights into moduli space transformations as epsilon varies

Abstract

We define the notion of $\epsilon$-stable quasimaps to a GIT stack bundle, and study the wall-crossing behavior of the resulting $\epsilon$-quasimap theory as $\epsilon$ varies.