A Compactness Theorem for Surfaces with Lp-Bounded Second Fundamental Form.
A Homotopy Classification οf Symplectic Immersions
A Metric on the Manifold of Immersions and Its Riemannian Curvature.
A Model for Computing Rational Algebraic K-Theory of Simply Connected Spaces.
An Arzela-Ascoli theorem for immersed submanifolds
The classical Arzela-Ascoli theorem is a compactness result for families of functions depending on bounds on the derivatives of the functions, and is of invaluable use in many fields of mathematics. In this paper, inspired by a result of Corlette, we prove an analogous compactness result for families of immersed submanifolds which depends only on bounds on the derivatives of the second fundamental forms of these submanifolds. We then show how the result of Corlette may be obtained as an immediate...
Cohomologie quantique
Configuration spaces and Vassiliev classes in any dimension.
Deformation of Submanifolds of Strongly Negatively Curved Manifolds.
Deloopings of the spaces of long embeddings
The homotopy fiber of the inclusion from the long embedding space to the long immersion space is known to be an iterated based loop space (if the codimension is greater than two). In this paper we deloop the homotopy fiber to obtain the topological Stiefel manifold, combining results of Lashof and of Lees. We also give a delooping of the long embedding space, which can be regarded as a version of Morlet-Burghelea-Lashof's delooping of the diffeomorphism group of the disk relative to the boundary....
Ein Indexsatz für Flächen konstanter mittlerer Krümmung.
Étude homotopique des espaces de plongements
Existence et compacité d'immersions isométriques elliptiques
Extreme Curves Bound Embedded Minimal Surfaces of the Type of the Disc.
Finite subset spaces of graphs and punctured surfaces.
Homotopien von Untermannigfaltigkeiten mit nicht ausgearteter zweiter Fundamentalform
Homotopy Classification of Equivariant Regular Sections.
Isoliertheit und Stabilität von Flächen konstanter mittlerer Krümmung.
Knot polynomials and Vassiliev's invariants.
Les 2-sphères de vues par A. Hatcher et la conjecture de Smale
Local contractibility of spaces of homeomorphisms