Feuilletages en surfaces, cycles �vanouissants et vari�t�s de Poisson

Autor:	F. Alcalde Cuesta, Gilbert Hector
Rok vydání:	1997
Předmět:	Path (topology) Pure mathematics General Mathematics Codimension Surface (topology) Poisson distribution Mathematics::Algebraic Topology Manifold symbols.namesake symbols Cylinder Novikov self-consistency principle Mathematics::Differential Geometry Mathematics::Symplectic Geometry Mathematics
Zdroj:	Monatshefte f�r Mathematik. 124:191-213
ISSN:	1436-5081 0026-9255
DOI:	10.1007/bf01298244
Popis:	Surface foliations, vanishing cycles and Poisson manifolds. Afoliated cylinder of a foliated manifold (M,F) is a path of integral loopsct forF. Such a cylinder defines anon-trivial vanishing cyclec0 ifct is null-homotopic in its supportFt for eacht>0, butc0 is not null-homotopic in its supportF0. Vanishing cycles were introduced by S. P. Novikov to study qualitative aspects of codimension one foliations. In this paper we apply this notion to the study of higher codimensional foliations.
Databáze:	OpenAIRE
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