Details

Autor(en) / Beteiligte

• Teleman, Andrei

Titel

Instanton moduli spaces on non-Kählerian surfaces. Holomorphic models around the reduction loci

Ist Teil von

• Journal of geometry and physics, 2015-05, Vol.91, p.66-87

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2015

Link zum Volltext

Quelle

Elsevier ScienceDirect Journals Complete

Beschreibungen/Notizen

• Let M be a moduli space of polystable rank 2-bundles with fixed determinant (a moduli space of PU(2)-instantons) on a Gauduchon surface with pg=0 and b1=1. We study the holomorphic structure of M around a circle T of regular reductions. Our model space is a “blowup flip passage”, which is a manifold with boundary whose boundary is a projective fibration, and whose interior comes with a natural complex structure. We prove that a neighborhood of the boundary of the blowup MˆT of M at T can be smoothly identified with a neighborhood of the boundary of a “flip passage” Qˆ, the identification being holomorphic on int(Qˆ).