Abstract

We generalize the classical Beauville-Narasimhan-Ramanan correspondence to the case of parabolic Higgs bundles with regular singularities and Higgs V V -bundles. Using this correspondence along with Bott-Morse theoretic techniques we provide an exact component count for moduli spaces of maximal parabolic S p ( 2 n , R ) \mathrm {Sp}\left ( 2n,\mathbb {R} \right ) -Higgs bundles with fixed parabolic structure.

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