2 citations · 2 across the 9 of their papers we have counts for
9 papers
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 …
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 the…
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…
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…
On a parametrization of spaces of maximal framed representations
Eugen Rogozinnikov
This article is an extended version of the talk given by the author in the seminar Théorie Spectrale et Géométrie at the Institut Fourier in March 2022. We present some results fro…
On partial abelianization of framed local systems
Clarence Kineider, Eugen Rogozinnikov
D.~Gaiotto, G.~W.~Moore and A.~Neitzke introduced spectral networks to understand the framed -local systems over punctured surfaces for a split Lie group via a procedure cal…
Parametrizing spaces of positive representations
Olivier Guichard, Eugen Rogozinnikov, Anna Wienhard
Using Lusztig's total positivity in split real Lie groups V. Fock and A. Goncharov have introduced spaces of positive (framed) representations. For general semisimple Lie groups a…
Symplectic groups over noncommutative algebras
Daniele Alessandrini, Arkady Berenstein, Vladimir Retakh +2
We introduce the symplectic group over a noncommutative algebra with an anti-involution . We realize several classical Lie groups as ove…
Noncommutative coordinates for symplectic representations
Daniele Alessandrini, Olivier Guichard, Eugen Rogozinnikov +1
We introduce coordinates on the spaces of framed and decorated representations of the fundamental group of a surface with nonempty boundary into the symplectic group $Sp(2n,\mathbf…