This article is cited in 3 papers

RESEARCH ARTICLE

Infinite transitivity on the Calogero–Moser space $\mathcal{C}_2$

J. Kesten^a, S. Mathers^b, Z. Normatov<sup>c

a</sup> Department of Mathematics, Rice University, Houston, TX, 77005, USA
^b Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA
^c V.~I.~Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100170, Uzbekistan

Abstract: 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 $\mathcal{C}_2$.

Keywords: Calogero–Moser space, infinite transitivity.

MSC: 14R20, 14L30, 14J50

Received: 26.06.2020
Revised: 05.12.2020

Language: English

DOI: 10.12958/adm1656