Instantons and framed sheaves on Kähler Deligne–Mumford stacks
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 27 (2018) no. 3, pp. 599-628.

Nous donnons une généralisation champêtre de résultats classiques de théorie de jauge, comme la caractérisation par Donaldson des instantons sur 4 en termes algébro-géométriques, le théorème de Uhlenbeck–Yau et diverses variantes dûes à Bando et ses collaborateurs. Nous appliquons cette machinerie à la classification des instantons sur certains espaces ALE.

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.

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DOI : 10.5802/afst.1579
Eyssidieux, Philippe 1 ; Sala, Francesco 2

1 Institut Fourier, Université Grenoble-Alpes, Grenoble, France
2 Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan
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Eyssidieux, Philippe; Sala, Francesco. Instantons and framed sheaves on Kähler Deligne–Mumford stacks. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 27 (2018) no. 3, pp. 599-628. doi : 10.5802/afst.1579. http://archive.numdam.org/articles/10.5802/afst.1579/

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