4 papers
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 . In the case when the algebra is Hermitian, or th…
Spectral Networks: Bridging higher-rank Teichmüller theory and BPS states
Clarence Kineider, Georgios Kydonakis, Eugen Rogozinnikov +2
This book offers a comprehensive introduction to spectral networks from a unified viewpoint that bridges geometry with the physics of supersymmetric gauge theories. It provides the…
Symplectic groups over Lie subgroups of involutive algebras
Eugen Rogozinnikov
We introduce the symplectic group associated to a Lie subgroup of a (possibly noncommutative) associative algebra equipped with an anti-involution $Ï…
On double brackets for marked surfaces
Michael Gekhtman, Eugen Rogozinnikov
We propose a construction of a double quasi-Poisson bracket on the group algebra associated to the twisted fundamental group of a marked oriented surface with boundary, whe…