Symplectic leaves of Calogero-Moser spaces of type $G(\ell,1,n)$
Ruslan Maksimau
TL;DR
This paper investigates the structure of symplectic leaves in Calogero-Moser spaces of type G(ell,1,n), establishing their normalization as Calogero-Moser spaces and providing a combinatorial classification.
Contribution
It proves the normalization of leaf closures is isomorphic to Calogero-Moser spaces and offers a combinatorial parameterization of the leaves.
Findings
Normalization of leaf closures is isomorphic to Calogero-Moser spaces
Provides a combinatorial parameterization of symplectic leaves
Establishes structural properties of symplectic leaves in these spaces
Abstract
We study symplectic leaves of Calogero-Moser spaces of type . We prove that the normalization of the closure of each symplectic leaf is isomorphic to some Calogero-Moser space. We also give a nice combinatorial parameterization of the symplectic leaves.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Topics in Algebra