Georgios Kydonakis

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math.DG2026

Symmetric spaces for groups over involutive algebras and applications to Higgs bundles

Pengfei Huang, Georgios Kydonakis, Eugen Rogozinnikov +1

We study symplectic groups and indefinite orthogonal groups over involutive, possibly noncommutative, algebras $(A, I ¨ )$ . In the case when the algebra $(A, I ¨ )$ is Hermitian, or th…

math.DG2024

Conformal limits in Cayley components and $I^$ -positive opers

Georgios Kydonakis, Mengxue Yang

We study Gaiotto's conformal limit for the $G^{R}$ -Hitchin equations, when $G^{R}$ is a simple real Lie group admitting a $I^$ -positive structure. We identify a f…

Symmetric spaces for groups over involutive algebras and applications to Higgs bundles

Conformal limits in Cayley components and I^-positive opers

Conformal limits in Cayley components and $I^$ -positive opers