Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 8 (2012), 072, 11 pages      arXiv:1201.3990      https://doi.org/10.3842/SIGMA.2012.072

KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians

Evgeny Mukhin a, Vitaly Tarasov a, b and Alexander Varchenko c
a) Department of Mathematical Sciences, Indiana University - Purdue University Indianapolis, 402 North Blackford St, Indianapolis, IN 46202-3216, USA
b) St. Petersburg Branch of Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia
c) Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USA

Received June 09, 2012, in final form October 04, 2012; Published online October 16, 2012

Abstract
We discuss a relation between the characteristic variety of the KZ equations and the zero set of the classical Calogero-Moser Hamiltonians.

Key words: Gaudin Hamiltonians; Calogero-Moser system; Wronski map.

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