Geodesic
Basic cohomology attached to a~basic function of foliated manifolds
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2012), pp. 3-16

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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. 
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     author = {Cristian Ida and Sabin Merche\c{s}an},
     title = {Basic cohomology attached to a~basic function of foliated manifolds},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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     number = {2},
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}
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Cristian Ida; Sabin Mercheşan. Basic cohomology attached to a~basic function of foliated manifolds. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2012), pp. 3-16. http://geodesic.mathdoc.fr/item/BASM_2012_2_a0/