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arXiv · 2112.12405

Automorphisms and symplectic leaves of Calogero-Moser spaces

Cédric Bonnafé
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Abstract

We study the symplectic leaves of the subvariety of fixed points of an automorphism of a Calogero-Moser space induced by an element of finite order of the normalizer of the associated complex reflection group $W$. We give a parametrization {\it \`a la Harish-Chandra} of its symplectic leaves (generalizing earlier works of Bellamy and Losev). This result is inspired by the mysterious relations between the geometry of Calogero-Moser spaces and unipotent representations of finite reductive groups, which will be the theme of a forthcoming paper.

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BibTeXRIS

Cédric Bonnafé. 2021-12-23. Automorphisms and symplectic leaves of Calogero-Moser spaces. https://arxiv.org/abs/2112.12405

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