Instantons and framed sheaves on Kähler Deligne-Mumford stacks

Philippe Eyssidieux (1) , Francesco Sala (2)

1 IF - Institut Fourier
2 IHES - Institut des Hautes Études Scientifiques

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.

Mots clés: Instantons; ALE spaces; Deligne-Mumford stacks

Domaines: Géométrie algébrique [math.AG]

Philippe Eyssidieux, Francesco Sala. Instantons and framed sheaves on Kähler Deligne-Mumford stacks. 2014. ⟨hal-00978225v2⟩