Poisson geometry from a Dirac perspective
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DOI: 10.1007/s11005-017-0977-4
Abstract: We present proofs of classical results in Poisson geometry using techniques from Dirac geometry. This article is based on mini-courses at the Poisson summer school in Geneva, June 2016, and at the workshop Quantum Groups… read more here.
Keywords: dirac perspective; poisson geometry; geometry; geometry dirac ... See more keywords
Three Vortices in Spaces of Constant Curvature: Reduction, Poisson Geometry, and Stability
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DOI: 10.1134/s1560354718050106
Abstract: This paper is concerned with the problem of three vortices on a sphere S2 and the Lobachevsky plane L2. After reduction, the problem reduces in both cases to investigating a Hamiltonian system with a degenerate… read more here.
Keywords: reduction; poisson geometry; vortices spaces; geometry ... See more keywords