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On the 65th birthday of R.Cushman

An Affine Model for the Actions in an Integrable System with Monodromy

L. Bates^a, F. Fassò<sup>b

a</sup> Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4 Canada
^b Università di Padova, Dipartimento di Matematica Pura e Applicata, Via Trieste 63, 35121 Padova, Italy

Abstract: We give a standard model for the flat affine geometry defined by the local action variables of a completely integrable system. We are primarily interested in the affine structure in the neighborhood of a critical value with nontrivial monodromy.

Keywords: monodromy, completely integrable systems.

MSC: 70H06, 51N10, 53A15, 58K99

Received: 14.06.2007
Accepted: 25.10.2007

Language: English

DOI: 10.1134/S1560354707060093

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