Birationality of moduli spaces of twisted U(p, q)-Higgs bundles

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Gothen, PB (Author) FCUP; Nozad, A (Author) Other

Journal

Title: Revista Matematica Complutense

Vol. 30

Pages: 91-128

ISSN: 1139-1138

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Other information

Authenticus ID: P-00K-P1M

DOI: 10.1007/s13163-016-0207-0

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 38