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arXiv · 1612.06621

Maximal Higgs bundles for adjoint forms via Cayley correspondence

Oscar García-Prada·André Oliveira
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Abstract

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 $PSp(2n,R)$, $PSO^*(2n)$, $PSO_0(2,n)$ and $E_6^{-14}$. Hence the same result follows for the number of connected components of the moduli space of maximal representations of $π_1X$ in these groups. We use the Cayley correspondence proved in [3] as our main tool.

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Oscar García-Prada, André Oliveira. 2017-01-27. Maximal Higgs bundles for adjoint forms via Cayley correspondence. https://doi.org/10.1007/s10711-017-0224-2

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