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Article Dans Une Revue Quart.J.Math.Oxford Ser. Année : 2018

On the Donaldson–Uhlenbeck compactification of instanton moduli spaces on class VII surfaces

Résumé

We study the following question: Let (X,g) be a compact Gauduchon surface, (E,h) be a differentiable rank r vector bundle on X⁠, D be a fixed holomorphic structure on D≔det(E) and a be the Chern connection of the pair (D,det(h))⁠. Does the complex space structure on MaASD(E)* induced by the Kobayashi–Hitchin correspondence extend to a complex space structure on the Donaldson–Uhlenbeck compactification M¯aASD(E)? Our results answer this question in detail for the moduli spaces of SU(2)-instantons with c2=1 on general (possibly unknown) class VII surfaces.

Dates et versions

hal-01990678 , version 1 (23-01-2019)

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Citer

Nicholas Buchdahl, Andrei Teleman, Matei Toma. On the Donaldson–Uhlenbeck compactification of instanton moduli spaces on class VII surfaces. Quart.J.Math.Oxford Ser., 2018, 69 (4), pp.1423-1473. ⟨10.1093/qmath/hay026⟩. ⟨hal-01990678⟩
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