The symplectic density property for Calogero–Moser spaces

Andrist, Rafael Benedikt (author), Huang, Gaofeng (author)

We introduce the symplectic density property and the Hamiltonian density property together with the corresponding versions of Andersén-Lempert theory. We establish these properties for the Calogero-Moser space ${\cal C}_n$ of $n$ particles and describe its group of holomorphic symplectic automorphisms.

• Language: English
• Keywords: symplectic density property, symplectic holomorphic density property, Hamiltonian density property, Hamiltonian holomorphic density property, Andersen-Lempert theory, Calogero-Moser spaces
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: 29 str.
• Numbering: Vol. 111, iss. 2, art. e70100
• PID: 20.500.12556/RUL-167790
• UDC: 517.5
• ISSN on article: 0024-6107
• DOI: 10.1112/jlms.70100
• COBISS.SI-ID: 228646403
• Publication date in RUL: 12.03.2025

Record is a part of a journal

• Title: Journal of the London Mathematical Society
• Shortened title: J. Lond. Math. Soc.
• Publisher: Wiley, London Mathematical Society
• ISSN: 0024-6107
• COBISS.SI-ID: 5188362

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.