Open books and h-cobordisms.
Open books on contact five-manifolds
By using open book techniques we give an alternative proof of a theorem about the existence of contact structures on five-manifolds due to Geiges. The theorem asserts that simply-connected five-manifolds admit a contact structure in every homotopy class of almost contact structures.
Open Subsets of LF-spaces
Let F = ind lim Fₙ be an infinite-dimensional LF-space with density dens F = τ ( ≥ ℵ ₀) such that some Fₙ is infinite-dimensional and dens Fₙ = τ. It is proved that every open subset of F is homeomorphic to the product of an ℓ₂(τ)-manifold and (hence the product of an open subset of ℓ₂(τ) and ). As a consequence, any two open sets in F are homeomorphic if they have the same homotopy type.
Open/Closed string topology and moduli space actions via open/closed Hochschild actions.
Opérateurs transversalement elliptiques sur un feuilletage riemannien et applications
Operations and co-operations in Morava -theory.
Operations and quantum doubles in complex oriented cohomology theory.
Opérations géométriques en cobordisme complexe
Operatori pseudo-differenziali anisotropi su varietà fogliettate
Operators on differential forms for Lie transformation groups.
Optics in Croke-Kleiner Spaces
We explore the interior geometry of the CAT(0) spaces , constructed by Croke and Kleiner [Topology 39 (2000)]. In particular, we describe a diffraction effect experienced by the family of geodesic rays that emanate from a basepoint and pass through a certain singular point called a triple point, and we describe the shadow this family casts on the boundary. This diffraction effect is codified in the Transformation Rules stated in Section 3 of this paper. The Transformation Rules have various applications....
OPTi's algorithm for discreteness determination.
Orbifold adjunction formula and symplectic cobordisms between lens spaces.
Orbifold-Uniformizing Differential Equations.
Orbifold-Uniformizing Differential Equations. III. Arrangements Defined by 3-Dimensional Primitive Unitary Reflection Groups.
Orbit projections as fibrations
The orbit projection of a proper -manifold is a fibration if and only if all points in are regular. Under additional assumptions we show that is a quasifibration if and only if all points are regular. We get a full answer in the equivariant category: is a -quasifibration if and only if all points are regular.
Orbit spaces of the hyperspace of a graph which are Hilbert cubes
Orbit Structure of certain -actions on solid torus
In this paper we describe the orbit structure of -actions of on the solid torus having and as the only compact orbits, and as singular set.
Orbites périodiques et courbes pseudo-holomorphes. Application à la conjecture de Weinstein en dimension 3
Order of holonomy and geometric objects of manifolds with connection