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Model Higgs bundles in exceptional components of the $\text{Sp(4}\text{,}\mathbb{R}\text{)}$-character variety

Georgios Kydonakis
International Journal of Mathematics, 2021, 32 (09), pp.2150067. ⟨10.1142/S0129167X21500671⟩
Article dans une revue hal-02467445v2
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Poisson structures on moduli spaces of Higgs bundles over stacky curves

Georgios Kydonakis , Hao Sun , Lutian Zhao
2023
Pré-publication, Document de travail hal-02931308v2
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From hyperbolic Dehn filling to surgeries in representation varieties

Georgios Kydonakis
Ohshika, K., Papadopoulos, A. (eds) In the Tradition of Thurston II, Springer, pp.201-260, 2022, ⟨10.1007/978-3-030-97560-9_6⟩
Chapitre d'ouvrage hal-03243492v2
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Monodromy of Rank 2 Parabolic Hitchin Systems

Georgios Kydonakis , Hao Sun , Lutian Zhao
Journal of Geometry and Physics, 2022, ⟨10.1016/j.geomphys.2021.104411⟩
Article dans une revue hal-02467576v2
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The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs $V$-bundles and components of parabolic $\text{Sp}(2n,\mathbb{R})$-Higgs moduli spaces

Georgios Kydonakis , Hao Sun , Lutian Zhao
Transactions of the American Mathematical Society, 2021, ⟨10.1090/tran/8284⟩
Article dans une revue hal-02562020v2
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From the Hitchin section to opers through nonabelian Hodge

Olivia Dumitrescu , Laura Fredrickson , Georgios Kydonakis , Rafe Mazzeo , Motohico Mulase , et al.
Journal of Differential Geometry, 2021, 117 (2), pp.223-253. ⟨10.4310/jdg/1612975016⟩
Article dans une revue hal-03164527v1
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Topological invariants of parabolic G-Higgs bundles

Georgios Kydonakis , Hao Sun , Lutian Zhao
Mathematische Zeitschrift, 2021, 297, pp.585-632. ⟨10.1007/s00209-020-02526-4⟩
Article dans une revue hal-02562008v1