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Elliptic Calogero-Moser system, crossed and folded instantons, and bilinear identities

  • Stony Brook University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Affine analogues of the (formula presenetd)functions are constructed using folded instantons partition functions. They are shown to be the solutions of the quantum spectral curve of the N-body elliptic Calogero-Moser (eCM) system, the quantum Krichever curve. (formula presenetd)also solve the elliptic analogue of the quantum Wronskian equation. In the companion paper we present the quantum analogue of Krichever’s Lax operator for eCM. A connection to crossed instantons on Taub-Nut spaces, and opers on a punctured torus is pointed out.

Original languageEnglish
Title of host publicationThe Versatility of Integrability - In Memory of Igor Krichever
Subtitle of host publicationIsomonodromic Deformations, Painlevé Equations, and Integrable Systems, IDPEIS 2022 and Algebraic Geometry, Mathematical Physics, and Solitons, AGMPS 2022
EditorsMikhail Bershtein, Anton Dzhamay, Andrei Okounkov
PublisherAmerican Mathematical Society
Pages93-105
Number of pages13
ISBN (Print)9781470475260
DOIs
StatePublished - 2025
EventIsomonodromic Deformations, Painleve Equations, and Integrable Systems, IDPEIS 2022 and Algebraic Geometry, Mathematical Physics, and Solitons, AGMPS 2022 - New York, United States
Duration: Oct 7 2022Oct 9 2022

Publication series

NameContemporary Mathematics
Volume823
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

ConferenceIsomonodromic Deformations, Painleve Equations, and Integrable Systems, IDPEIS 2022 and Algebraic Geometry, Mathematical Physics, and Solitons, AGMPS 2022
Country/TerritoryUnited States
CityNew York
Period10/7/2210/9/22

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