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arXiv · 1812.02544

Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver

Tamás Görbe·Ádám Gyenge
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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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Tamás Görbe, Ádám Gyenge. 2018-12-06. Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver. https://doi.org/10.1080/14029251.2020.1700634

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