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Holonomy and basic cohomology of foliations

Part of: Differential topology

Published online by Cambridge University Press:  09 April 2009

Peter Y. Pang
Peter Y. Pang
Affiliation:
Department of MathematicsNational University of SingaporeKent Ridge Republic of Singapore 0511 e-mail: matpyh@leonis.nus.sg
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Abstract

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In this paper, we consider the relationship between the cohomologies of the basic differential forms and the transverse holonomy groupoid of a foliation. Applications to minimal models are given.

Keywords

Foliationsbasic cohomologytransverse holonomyminimal models.

MSC classification

Secondary: 57R32: Classifying spaces for foliations; Gelfand-Fuks cohomology
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 60 , Issue 3 , June 1996 , pp. 287 - 300
Copyright
Copyright © Australian Mathematical Society 1996

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