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- W3102750770 abstract "Let $mathcal{M}_{n,d}$ be the moduli space of semi-stable rank $n$, trace-free Higgs bundles with fixed determinant of degree $d$ on a Riemann surface of genus at least $3$. We determine the following automorphism groups of $mathcal{M}_{n,d}$: (i) the group of automorphisms as a complex analytic variety, (ii) the group of holomorphic symplectomorphisms, (iii) the group of Kahler isomorphisms, (iv) the group of automorphisms of the quaternionic structure, (v) the group of hyper-Kahler isomorphisms. When $n$ and $d$ are coprime we show that $mathcal{M}_{n,d}$ admits an anti-holomorphic isomorphism if and only if the corresponding Riemann surface admits such a map. We then use this to determine the isometry group of $mathcal{M}_{n,d}$." @default.
- W3102750770 created "2020-11-23" @default.
- W3102750770 creator A5032901937 @default.
- W3102750770 date "2016-04-15" @default.
- W3102750770 modified "2023-09-25" @default.
- W3102750770 title "Classification of the automorphism and isometry groups of Higgs bundle moduli spaces" @default.
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- W3102750770 doi "https://doi.org/10.1112/plms/pdw014" @default.
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