Parity of the spin structure defined by a quadratic differential.
Patterns in knot cohomology. I.
Perfect Morse functions and some applications.
Periodicity of Branched Cyclic Covers of Manifolds with Open Book Decomposition.
Periodische Abbildungen unitärer Mannigfaltigkeiten.
Persistance des sous-variétés à bord et à coins normalement dilatées
On se propose de montrer que les variétés à bord et plus généralement à coins, normalement dilatées par un endomorphisme sont persistantes en tant que stratifications -régulières. Ce résultat sera démontré en classe , pour . On donne aussi un exemple simple d’une sous-variété à bord normalement dilatée mais qui n’est pas persistante en tant que sous-variété différentiable.
Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibre cotangent.
Perturbations of the metric in Seiberg-Witten equations
Let a compact connected oriented 4-manifold. We study the space of -structures of fixed fundamental class, as an infinite dimensional principal bundle on the manifold of riemannian metrics on . In order to study perturbations of the metric in Seiberg-Witten equations, we study the transversality of universal equations, parametrized with all -structures . We prove that, on a complex Kähler surface, for an hermitian metric sufficiently close to the original Kähler metric, the moduli space...
PGL (4) acts transitively on M (-1,2).
Pierrot's theorem for singular Riemannian foliations.
Let F be a singular Riemannian foliation on a compact connected Riemannian manifold M. We demonstrate that global foliated vector fields generate a distribution tangent to the strata defined by the closures of leaves of F and which, in each stratum, is transverse to these closures of leaves.
Pinwheels and bypasses.
Planar vector field versions of Carathéodory's and Loewner's conjectures.
Let r = 3, 4, ... , ∞, ω. The Cr-Carathéodory's Conjecture states that every Cr convex embedding of a 2-sphere into R3 must have at least two umbilics. The Cr-Loewner's conjecture (stronger than the one of Carathéodory) states that there are no umbilics of index bigger than one. We show that these two conjectures are equivalent to others about planar vector fields. For instance, if r ≠ ω, Cr-Carathéodory's Conjecture is equivalent to the following one:Let ρ > 0 and β: U ⊂ R2 → R, be of class...
Plane affine geometry and Anosov flows
Plane curve singularities and carousels
In this paper we give a direct and explicit description of the local topological embedding of a plane curve singularity using the Puiseux expansions of its branches in a given set of coordinates.
Plongement du tore dans la sphère
Plongements dans les variétés feuilletées et classification de feuilletages sans holonomie
Plongements de variétés différentiables orientées de dimension 4k dans R...
Poincaré Algebras Modulo an odd Prime
Poincaré bundles for projective surfaces
Let be a smooth projective surface, the canonical divisor, a very ample divisor and the moduli space of rank-two vector bundles, -stable with Chern classes and . We prove that, if there exists such that is numerically equivalent to and if is even, greater or equal to , then there is no Poincaré bundle on . Conversely, if there exists such that the number is odd or if is odd, then there exists a Poincaré bundle on .
Poincaré Spaces, Their Normal Fibrations and Surgery.