df-cohomology of Lagrangian foliations

Izu Vaisman

doi:10.1007/BF01318683

d_f-cohomology of Lagrangian foliations

Izu Vaisman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The cohomology of various sheaves associated with a Lagrangian foliation is discussed. Obstructions for the foliation either to behave like in the case of a cotangent bundle or to have an affine transversal distribution are found in this cohomology. Furthermore, one proves a formula for all the symplectic structures of a cotangent bundle such that the fibers constitute a Lagrangian foliation.

Original language	English
Pages (from-to)	221-244
Number of pages	24
Journal	Monatshefte fur Mathematik
Volume	106
Issue number	3
DOIs	https://doi.org/10.1007/BF01318683
State	Published - Sep 1988

ASJC Scopus subject areas

General Mathematics

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10.1007/BF01318683

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ER -

d_f-cohomology of Lagrangian foliations

Abstract

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