Model Higgs bundles in exceptional components of the Sp(4, ℝ)-character variety
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We establish a gluing construction for Higgs bundles over a connected sum of Riemann surfaces in terms of solutions to the [Formula: see text]-Hitchin equations using the linearization of a relevant elliptic operator. The construction can be used to provide model Higgs bundles in all the [Formula: see text] exceptional components of the maximal [Formula: see text]-Higgs bundle moduli space, which correspond to components solely consisting of Zariski dense representations. This also allows a comparison between the invariants for maximal Higgs bundles and the topological invariants for Anosov representations constructed by Guichard and Wienhard.
2018 ◽
Vol 14
(2)
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pp. 7744-7786
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2014 ◽
Vol 25
(14)
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pp. 1450125
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2011 ◽
Vol 22
(02)
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pp. 223-279
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2019 ◽
Vol 26
(2)
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pp. 197-214
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