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IMCS/Publications/BASM/Issues/BASM n.2 (69), 2012/

Basic cohomology attached to a basic function of foliated manifolds

Authors: Cristian Ida, Sabin Mercheşan
Keywords: Foliated manifolds, basic forms, cohomology.

Abstract

In this paper we study a basic cohomology attached to a basic function of foliated manifolds and in particular, of transversely holomorphic foliations. We also explain how this cohomology depends on the basic function and we study a relative cohomology and a Mayer-Vietoris sequence related to this cohomology. Also, a basic Lichnerowicz cohomology attached to a basic function of a foliated manifold is studied.

Department of Mathematics and Informatics
Transilvania University of Braşov
Iuliu Maniu Street, No. 50, 500091, Braşov, România
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