%0 Generic %1 kydonakis2019beauvillenarasimhanramanan %A Kydonakis, Georgios %A Sun, Hao %A Zhao, Lutian %D 2019 %K higgs %T The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs $V$-bundles and components of parabolic $Sp(2n,R)$-Higgs moduli Spaces %U http://arxiv.org/abs/1901.09148 %X 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 $Spłeft( 2n,R \right)$-Higgs bundles with fixed parabolic structure.

@misc{kydonakis2019beauvillenarasimhanramanan, abstract = {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 $\text{Sp}\left( 2n,\mathbb{R} \right)$-Higgs bundles with fixed parabolic structure.}, added-at = {2020-08-11T11:31:52.000+0200}, author = {Kydonakis, Georgios and Sun, Hao and Zhao, Lutian}, biburl = {https://www.bibsonomy.org/bibtex/21b6f005d8370983702eae1db08892504/simonechiarello}, description = {The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs $V$-bundles and components of parabolic $\text{Sp}(2n,\mathbb{R})$-Higgs moduli Spaces}, interhash = {77f56b0ff750f2844ce2e8fc46611a3d}, intrahash = {1b6f005d8370983702eae1db08892504}, keywords = {higgs}, note = {cite arxiv:1901.09148Comment: 28 pages}, timestamp = {2020-08-11T11:31:52.000+0200}, title = {The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs $V$-bundles and components of parabolic $\text{Sp}(2n,\mathbb{R})$-Higgs moduli Spaces}, url = {http://arxiv.org/abs/1901.09148}, year = 2019 }