THE BEAUVILLE-NARASIMHAN-RAMANAN CORRESPONDENCE FOR TWISTED HIGGS V-BUNDLES AND COMPONENTS OF PARABOLIC Sp(2n, R)-HIGGS MODULI SPACES

作者:Kydonakis, Georgios*; Sun, Hao; Zhao, Lutian
来源:Transactions of the American Mathematical Society, 2021, 374(6): 4023-4057.
DOI:10.1090/tran/8284

摘要

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