Maximal Higgs bundles for adjoint forms via Cayley correspondence

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

Authors

André Oliveira (Author) FCUP; Oscar García-Prada (Author) Other

Journal

Title: Geometriae Dedicata

Vol. 190

Pages: 1-22

ISSN: 0046-5755

Publisher: Springer Nature

Indexing

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Other information

Authenticus ID: P-00N-26M

DOI: 10.1007/s10711-017-0224-2

Abstract (EN): For a fixed compact Riemann surface X, of genus at least 2, we count the number of connected components of the moduli space of maximal Higgs bundles over X for the hermitian groups PSp(2n, R), PSO*(2n), PSO0(2, n) and E-6(-14). Hence the same result follows for the number of connected components of the moduli space of maximal representations of pi X-1 in these groups. We use the Cayley correspondence proved in Biquard et al. (Higgs bundles, the Toledo invariant and the Cayley correspondence. Preprint, 2015. arXiv: 1511.07751) as our main tool.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22