Some lagrangian invariants of symplectic manifolds

• Autorzy: Michel Nguiffo Boyom
• Języki publikacji: EN

Abstrakty

EN

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 $𝓐_{F}$ (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 $H^{q}(𝓐_{F},V^{F}) × H_{q}(𝓐_{F},V^{F}) → V^{F}$, which is invariant under F-preserving symplectic diffeomorphisms.

Kategorie tematyczne

• 17B55: Homological methods in Lie (super)algebras
• 55T10: Serre spectral sequences
• 55N35: Other homology theories
• 53B05: Linear and affine connections
• 17B40: Automorphisms, derivations, other operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 76
• Numer: 1
• Strony: 515-525

Daty

wydano

2007

Twórcy

autor

Michel Nguiffo Boyom

• UMR CNRS 5149, Département de Mathématiques, Université Montpellier II, Montpellier, France

Identyfikatory

DOI

10.4064/bc76-0-27