HOMOLOGY AND COHOMOLOGY ON GENERALIZED POISSON MANIFOLDS

Authors
IBANEZ R DELEON M MARRERO JC
Citation
R. Ibanez et al., HOMOLOGY AND COHOMOLOGY ON GENERALIZED POISSON MANIFOLDS, Journal of physics. A, mathematical and general, 31(4), 1998, pp. 1253-1266
Citations number
25
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
4
Year of publication
1998
Pages
1253 - 1266
Database
ISI
SICI code
0305-4470(1998)31:4<1253:HACOGP>2.0.ZU;2-I
Abstract
The canonical homology of a generalized Poisson manifold is introduced , and the two spectral sequences associated with the periodic double c omplex are studied. The generalized Poisson cohomology is also discuss ed, and a natural parity with the canonical homology is established. T he results hold for Nambu-Poisson manifolds.