학술논문

The symplectic holomorphic density property for Calogero-Moser spaces
Document Type
Working Paper
Source
Subject
Mathematics - Complex Variables
Mathematics - Algebraic Geometry
Mathematics - Symplectic Geometry
32M17, 32Q56, 14J42, 14L24
Language
Abstract
We introduce the symplectic holomorphic density property and the Hamiltonian holomorphic density property together with the corresponding version of Anders\'en-Lempert theory. We establish these properties for the Calogero-Moser space $\mathcal{C}_n$ of $n$ particles and describe its group of holomorphic symplectic automorphisms.
Comment: 29 pages, email addresses added