Some lagrangian invariants of symplectic manifolds

Michel 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 -