Abstract
We show that a classical result of Gromov in symplectic geometry extends to the context of symplectic foliations, which we regard as an h-principle for (regular) Poisson geometry. Namely, we formulate a sufficient cohomological criterion for a regular bivector to be homotopic to a regular Poisson structure, in the spirit of Haefliger's criterion for homotoping a distribution to a foliation. We give an example to show that this criterion is not too unsharp.
Original language | English (US) |
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Pages (from-to) | 1505-1518 |
Number of pages | 14 |
Journal | International Mathematics Research Notices |
Volume | 2012 |
Issue number | 7 |
DOIs | |
State | Published - Jan 1 2012 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics