The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

L’Enseignement Mathématique


Full-Text PDF (208 KB) | Metadata | Table of Contents | LEM summary
Volume 58, Issue 1/2, 2012, pp. 205–219
DOI: 10.4171/LEM/58-1-10

Published online: 2012-06-30

Circle-valued momentum maps for symplectic periodic flows

Alvaro Pelayo[1] and Tudor S. Ratiu[2]

(1) Institute for Advanced Study, Princeton, USA
(2) Ecole Polytechnique Fédérale de Lausanne, Switzerland

We give a detailed proof of the well-known classical fact that every symplectic circle action on a compact manifold admits a circle-valued momentum map relative to some symplectic form. This momentum map is Morse-Bott-Novikov and each connected component of the fixed point set has even index. These proofs do not seem to have appeared elsewhere.

No keywords available for this article.

Pelayo Alvaro, Ratiu Tudor: Circle-valued momentum maps for symplectic periodic flows. Enseign. Math. 58 (2012), 205-219. doi: 10.4171/LEM/58-1-10