Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\)

• Date: 2021
• Main Authors: Kesten, J., Mathers, S., Normatov, Z.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: Calogero-Moser space; infinite transitivity; 14R20; 14L30; 14J50
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1656
• Journal Title: Algebra and Discrete Mathematics

We prove a particular case of the conjecture of Berest--Eshmatov--Eshmatov by showing that the group of unimodular automorphisms of \(\mathbb{C}[ x,y]\) acts in an infinitely-transitive way on the Calogero-Moser space \(\mathcal{C}_2\).