Oscillator calculus on coadjoint orbits and index theorems

Dmitri Bykov^abcd, Viacheslav Krivorol^ab, Andrew Kuzovchikov<sup>abd

a</sup> Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, Moscow, Russia 119991
^b Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University, Moscow, Russia 119991
^c Beijing Institute of Mathematical Sciences and Applications (BIMSA), Huairou District, Beijing 101408, China
^d Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russia

Received: 22.01.2025
Revised: 18.06.2025
Accepted: 08.07.2025

Language: English

DOI: 10.1007/s11005-025-01974-5

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ArXiv: 2412.21024