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Ĝ-invariant quasimorphisms and symplectic geometry of surfaces

Israel Journal of Mathematics, 2019
In this paper, for a group Ĝ and its normal subgroup G , we study Ĝ -invariant quasimorphisms on G which appear in symplectic geometry and low dimensional topology.
Morimichi Kawasaki, M. Kimura
semanticscholar   +1 more source

Factorization Problems on Rational Loop Groups, and the Poisson Geometry of Yang-Baxter Maps

Mathematical physics, analysis and geometry, 2022
The study of set-theoretic solutions of the Yang-Baxter equation, also known as Yang-Baxter maps, is historically a meeting ground for various areas of mathematics and mathematical physics.
L. Li
semanticscholar   +1 more source

Symplectic Geometry for Engineers, Fundamentals


The mathematical theory underlying Hamiltonian mechanics is called symplectic geometry. So symplectic geometry arose from the roots of mechanics and is seen as one of the most valuable links between physics and mathematics today.
Stefan Goessner
semanticscholar   +1 more source

Problems of Lifts in Symplectic Geometry

Chinese Annals of Mathematics. Series B, 2019
A. Salimov, M. Behboudi Asl, S. Kazimova
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