Stable gauged maps
E. Gonz\'alez, P. Solis, and C. Woodward
TL;DR
This paper introduces the moduli stacks of gauged maps with stability conditions and explores their role in defining gauged Gromov-Witten invariants, highlighting applications in cohomological and K-theoretic contexts.
Contribution
It provides an overview of the stability conditions for gauged maps and their use in constructing gauged Gromov-Witten invariants, connecting geometric stability with enumerative invariants.
Findings
Introduction of stability conditions for gauged maps
Construction of gauged Gromov-Witten invariants
Applications to cohomological and K-theoretic invariants
Abstract
We give an introduction to moduli stacks of gauged maps satisfying a stability conditition introduced by Mundet and Schmitt, and the associated integrals giving rise to gauged Gromov-Witten invariants. We survey various applications to cohomological and K-theoretic Gromov-Witten invariants.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Numerical methods for differential equations · Advanced Mathematical Modeling in Engineering