Instantons and framed sheaves on Kähler Deligne-Mumford stacks

Abstract

We provide stacky generalizations of classical gauge-theoretic results inspired by Donaldson, the Uhlenbeck-Yau theorem and variants due to Bando and his collaborators. Moreover, we show an application of this machinery in the study of ALE spaces.

arXiv comment19 p. An unfortunate typo in the title had to be corrected

References in corpus (6)

• Numerical characterization of the Kähler cone of a compact Kähler manifold
• Foundations of Topological Stacks I
• Moduli Spaces of Semistable Sheaves on Projective Deligne-Mumford Stacks
• String topology for stacks
• Singular Kahler-Einstein metrics
• Framed sheaves on root stacks and supersymmetric gauge theories on ALE spaces

Cited by in corpus (3)

• N=2 quiver gauge theories on A-type ALE spaces
• N=2 gauge theories, instanton moduli spaces and geometric representation theory
• Equality in the Miyaoka-Yau inequality and uniformization of non-positively curved klt pairs