Displaying similar documents to “A semi-simplicial approach to foliations and their transverse structure”

On some sheaf cohomology of semi-simplicial manifolds and their realizations

Grzegorz Andrzejczak

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CONTENTSIntroduction.........................................................................5I. Semi-simplicial morphisms and topology..........................7II. Foliated ss-manifolds and sheaf cohomology................13III. Sheaf cohomology of ss-manifolds...............................32References.......................................................................55

An invariant of nonpositively curved contact manifolds

Thilo Kuessner (2011)

Open Mathematics

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We define an invariant of contact structures and foliations (on Riemannian manifolds of nonpositive sectional curvature) which is upper semi-continuous with respect to deformations and thus gives an obstruction to the topology of foliations which can be approximated by isotopies of a given contact structure.

On nonimbeddability of Hartogs figures into complex manifolds

E. Chirka, S. Ivashkovich (2006)

Bulletin de la Société Mathématique de France

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We prove the impossibility of imbeddings of Hartogs figures into general complex manifolds which are close to an imbedding of an analytic disc attached to a totally real collar. Analogously we provide examples of the so called thin Hartogs figures in complex manifolds having no neighborhood biholomorphic to an open set in a Stein manifold.

On infinitesimal automorphisms of foliated manifolds

Jan Kurek, Włodzimierz M. Mikulski (2007)

Annales Polonici Mathematici

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Let F:ℱol → ℱℳ be a product preserving bundle functor on the category ℱol of foliated manifolds (M,ℱ) without singularities and leaf respecting maps. We describe all natural operators C transforming infinitesimal automorphisms X ∈ 𝒳(M,ℱ) of foliated manifolds (M,ℱ) into vector fields C(X)∈ 𝒳(F(M,ℱ)) on F(M,ℱ).

Product preserving bundles on foliated manifolds

Włodzimierz M. Mikulski (2004)

Annales Polonici Mathematici

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We present a complete description of all product preserving bundle functors on the category ℱol of all foliated manifolds and their leaf respecting maps in terms of homomorphisms of Weil algebras.