Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles

• Type: Chapter or Part of a Book
• Date: 2018

Authors

Bradlow, S (Author) Other; García Prada, O (Author) Other; Gothen, PB (Author) FCUP; Heinloth, J (Author) Other

Book

Title: Geometry and Physics: A Festschrift in Honour of Nigel Hitchin

Pages: 455-470

ISBN: 9780198802020

Electronic ISBN: 9780191869068

Indexing

Scopus - 2 Citations

Other information

Authenticus ID: P-00Q-8KE

DOI: 10.1093/oso/9780198802020.003.0018

Abstract (EN): We give necessary and sufficient conditions for moduli spaces of semi-stable chains on a curve to be irreducible and non-empty. This gives information on the irreducible components of the nilpotent cone of GL n -Higgs bundles and the irreducible components of moduli of systems of Hodge bundles on curves. As we do not impose coprimality restrictions, we can apply this to prove connectedness for moduli spaces of U(p, q)-Higgs bundles. © Oxford University Press 2018.

Language: English

Type (Professor's evaluation): Scientific