Semi-local invariants for non-resonnant Poisson structures on S1xRn

Details Semi-local invariants for non-resonnant Poisson structures on S1xRn Semi-local invariants for non-resonnant Poisson structures on S1xRn

2004-12-13

arxiv.org/abs/math/0412238v1

Mathematics

Symplectic Geometry

9 pages

Scientific paper

The purpose of this paper is to give a semi-local study along generic closed
curves of zeros: we formally classify Poisson structures defined in a
neighborhood of Gamma:=S^1x{0} in S^1xR^n, that vanish on Gamma, and whose
linear approximation at one point m of Gamma is isomorphic to the dual of a
non-resonant Lie algebra.

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