CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPS

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

Authors

Garcia Prada, O (Author) Other; Oliveira, A (Author) FCUP

Journal

Title: Asian Journal of Mathematics

Vol. 21 No. 5

Pages: 791-810

ISSN: 1093-6106

Publisher: International Press of Boston, Inc.

Indexing

ISI Web of Knowledge - 11 Citations

Scopus - 12 Citations

Other information

Authenticus ID: P-00N-M8S

DOI: 10.4310/ajm.2017.v21.n5.a1

Abstract (EN): We carry an intrinsic approach to the study of the connectedness of the moduli space M-G of G-Higgs bundles, over a compact Riemann surface, when G is a complex reductive (not necessarily connected) Lie group. We prove that the number of connected components of M-G is indexed by the corresponding topological invariants. In particular, this gives an alternative proof of the counting by J. Li of the number of connected components of the moduli space of flat G-connections in the case in which G is connected and semisimple.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20