# Some lagrangian invariants of symplectic manifolds

Banach Center Publications (2007)

- Volume: 76, Issue: 1, page 515-525
- ISSN: 0137-6934

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topMichel Nguiffo Boyom. "Some lagrangian invariants of symplectic manifolds." Banach Center Publications 76.1 (2007): 515-525. <http://eudml.org/doc/281826>.

@article{MichelNguiffoBoyom2007,

abstract = {The KV-homology theory is a new framework which yields interesting properties of lagrangian foliations. This short note is devoted to relationships between the KV-homology and the KV-cohomology of a lagrangian foliation. Let us denote by $_\{F\}$ (resp. $V^\{F\}$) the KV-algebra (resp. the space of basic functions) of a lagrangian foliation F. We show that there exists a pairing of cohomology and homology to $V^\{F\}$. That is to say, there is a bilinear map $H^\{q\}(_\{F\},V^\{F\}) × H_\{q\}(_\{F\},V^\{F\}) → V^\{F\}$, which is invariant under F-preserving symplectic diffeomorphisms.},

author = {Michel Nguiffo Boyom},

journal = {Banach Center Publications},

keywords = {symplectic manifold; Lagrangian foliation; KV-algebra; KV-homology; pairing; spectral sequence},

language = {eng},

number = {1},

pages = {515-525},

title = {Some lagrangian invariants of symplectic manifolds},

url = {http://eudml.org/doc/281826},

volume = {76},

year = {2007},

}

TY - JOUR

AU - Michel Nguiffo Boyom

TI - Some lagrangian invariants of symplectic manifolds

JO - Banach Center Publications

PY - 2007

VL - 76

IS - 1

SP - 515

EP - 525

AB - The KV-homology theory is a new framework which yields interesting properties of lagrangian foliations. This short note is devoted to relationships between the KV-homology and the KV-cohomology of a lagrangian foliation. Let us denote by $_{F}$ (resp. $V^{F}$) the KV-algebra (resp. the space of basic functions) of a lagrangian foliation F. We show that there exists a pairing of cohomology and homology to $V^{F}$. That is to say, there is a bilinear map $H^{q}(_{F},V^{F}) × H_{q}(_{F},V^{F}) → V^{F}$, which is invariant under F-preserving symplectic diffeomorphisms.

LA - eng

KW - symplectic manifold; Lagrangian foliation; KV-algebra; KV-homology; pairing; spectral sequence

UR - http://eudml.org/doc/281826

ER -

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