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.
Pointlike immersions of 2-manifolds
Points multiples isolés d'immersions de codimension quatre.
Points quadruples d'immersions de variétés de dimension trois en codimension un
Polymersions of a disk with critical points on the boundary.
Polynomial invariants for fibered 3-manifolds and teichmüller geodesics for foliations
Polynominal Growth in Holonomy Groups of Foliations
Pontrjagin forms of quaternion manifolds.
Si dimostra che per le varietà a struttura quaternionale generalizzata integrabile, le classi di Pontrjagin sono generate dalle classi di Pontrjagin del fibrato vettoriale fondamentale.
Pontryagin Forms for Manifolds with Framed Singular Strata.
Pontryagin forms on homogeneous spaces.
Positive scalar curvature and periodic fundamental groups.
Positive scalar curvature, diffeomorphisms and the Seiberg-Witten invariants.
Positive Vector Bundles on Complex Surfaces.
Positivity of Schur function expansions of Thom polynomials
Combining the approach to Thom polynomials via classifying spaces of singularities with the Fulton-Lazarsfeld theory of cone classes and positive polynomials for ample vector bundles, we show that the coefficients of the Schur function expansions of the Thom polynomials of stable singularities are nonnegative with positive sum.