Georgios Kydonakis

activity

20162025

most citedOpers versus nonabelian Hodge

15 citations · 15 across the 3 of their papers we have counts for

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4 papers · 1 filter

math.AG2025

Level structures on parahoric torsors and complete integrability

Georgios Kydonakis, Lutian Zhao

For a smooth complex algebraic curve $X$ and a reduced effective divisor $D$ on $X$ , we introduce a notion of $D$ -level structure on parahoric $G_{θ}$ -torsors…

math.AG2019

Monodromy of Rank 2 Parabolic Hitchin Systems

Georgios Kydonakis, Hao Sun, Lutian Zhao

We study the monodromy of the Hitchin fibration for moduli spaces of parabolic G-Higgs bundles in the cases when G=SL(2,R), GL(2,R) and PGL(2,R) A calculation of the orbits of the…

math.AG2019

The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs $V$ -bundles and components of parabolic $Sp (2 n, R)$ -Higgs moduli Spaces

Georgios Kydonakis, Hao Sun, Lutian Zhao

We generalize the classical Beauville-Narasimhan-Ramanan correspondence to the case of parabolic Higgs bundles with regular singularities and Higgs $V$ -bundles. Using this correspo…

math.AG2018

Topological invariants of parabolic $G$ -Higgs bundles

Georgios Kydonakis, Hao Sun, Lutian Zhao

For a semisimple real Lie group $G$ , we study topological properties of moduli spaces of polystable parabolic $G$ -Higgs bundles over a Riemann surface with a divisor of finitely ma…

Level structures on parahoric torsors and complete integrability

Monodromy of Rank 2 Parabolic Hitchin Systems

The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs V-bundles and components of parabolic Sp(2n,R)-Higgs moduli Spaces

Topological invariants of parabolic G-Higgs bundles

The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs $V$ -bundles and components of parabolic $Sp (2 n, R)$ -Higgs moduli Spaces

Topological invariants of parabolic $G$ -Higgs bundles