Symmetric Poisson geometry

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26 Jan 2024. Talk by Filip Moučka at the 32nd Winter School on Mathematical Physics, Jánské Lázně, Czech Republic.

Abstract: A Poisson manifold is a generalization of the notion of phase space from Hamiltonian mechanics. It is a manifold endowed with a skew-symmetric bivector field such that the Schouten bracket of the bivector field with itself vanishes. We discuss what happens, when you consider a symmetric bivector field instead of a skew-symmetric one.


See slides at this link.