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Author(s): Gothen, PB
Nozad, A
Title: Birationality of moduli spaces of twisted U(p, q)-Higgs bundles
Issue Date: 2017
Abstract: A U(p, q)-Higgs bundle on a Riemann surface (twisted by a line bundle) consists of a pair of holomorphic vector bundles, together with a pair of (twisted) maps between them. Their moduli spaces depend on a real parameter alpha. In this paper we study wall crossing for the moduli spaces of alpha-polystable twisted U(p, q)-Higgs bundles. Our main result is that the moduli spaces are birational for a certain range of the parameter and we deduce irreducibility results using known results on Higgs bundles. Quiver bundles and the Hitchin-Kobayashi correspondence play an essential role.
Document Type: Artigo em Revista Científica Internacional
Rights: openAccess
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

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