Godbillon–Vey classes of symplectic foliations

Kentaro Mikami

Vol. 194 (2000), No. 1, 165–174

DOI: 10.2140/pjm.2000.194.165

Abstract

Each transversally oriented foliation has the Godbillon–Vey characteristic class, and regular Poisson structures define symplectic foliations. In this note, we shall give a new interpretation and the explicit formula for a representative of the Godbillon–Vey characteristic classes of symplectic foliations in the context of Poisson geometry.

Milestones

Received: 9 September 1998

Revised: 28 December 1998

Published: 1 May 2000