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arXiv · 1402.2322

Left and right centers in quasi-Poisson geometry of moduli spaces

Pavol Ševera
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Abstract

We introduce left central and right central functions and left and right leaves in quasi-Poisson geometry, generalizing central (or Casimir) functions and symplectic leaves from Poisson geometry. They lead to a new type of (quasi-)Poisson reduction, which is both simpler and more general than known quasi-Hamiltonian reductions. We study these notions in detail for moduli spaces of flat connections on surfaces, where the quasi-Poisson structure is given by an intersection pairing on homology.

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Pavol Ševera. 2014-02-10. Left and right centers in quasi-Poisson geometry of moduli spaces. https://arxiv.org/abs/1402.2322

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