Görbe, T and Gyenge, Á (2020) Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver. Journal of Nonlinear Mathematical Physics, 27 (2). pp. 243-266. ISSN 1402-9251
Abstract
Sklyanin’s formula provides a set of canonical spectral coordinates on the standard Calogero-Moser space associated with the quiver consisting of a vertex and a loop. We generalize this result to Calogero-Moser spaces attached to cyclic quivers by constructing rational functions that relate spectral coordinates to conjugate variables. These canonical coordinates turn out to be well-defined on the corresponding simple singularity of type A, and the rational functions we construct define interpolating polynomials between them.
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Copyright, Publisher and Additional Information: | © the authors. This is an author produced version of a paper published in Journal of Nonlinear Mathematical Physics. Uploaded in accordance with the publisher's self-archiving policy. | ||||
Keywords: | Calogero-Moser, cyclic quiver, Darboux coordinates, canonical spectral coordinates, Sklyanin’s formula | ||||
Dates: |
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Institution: | The University of Leeds | ||||
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) | ||||
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Depositing User: | Symplectic Publications | ||||
Date Deposited: | 18 Sep 2019 10:03 | ||||
Last Modified: | 27 Jul 2020 00:40 | ||||
Status: | Published | ||||
Publisher: | Taylor & Francis | ||||
Identification Number: | https://doi.org/10.1080/14029251.2020.1700634 | ||||
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