A note on trignometric sums arising in gauge theory.
A Periodic Flow with Infinite Epstein Hierarchy.
A proof of Reidemeister-Singer’s theorem by Cerf’s methods
Heegaard splittings and Heegaard diagrams of a closed 3-manifold are translated into the language of Morse functions with Morse-Smale pseudo-gradients defined on . We make use in a very simple setting of techniques which Jean Cerf developed for solving a famous pseudo-isotopy problem. In passing, we show how to cancel the supernumerary local extrema in a generic path of functions when . The main tool that we introduce is an elementary swallow tail lemma which could be useful elsewhere.
A proof of the Chern-Lashof conjecture in dimensions greater than five.
A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
The following problem of Markus and Yamabe is answered affirmatively: Let f be a local diffeomorphism of the euclidean plane whose jacobian matrix has negative trace everywhere. If f(0) = 0, is it true that 0 is a global attractor of the ODE dx/dt = f(x)? An old result of Olech states that this is equivalent to the question if such an f is injective. Here the problem is treated in the latter form by means of an investigation of the behaviour of f near infinity.
À propos de l'existence de fibrés stables sur les surfaces.
À propos d'un théorème de Charles Ehresmann sur les feuilletages
A quadratic form on the quotient of a periodic map.
A quick proof of the 4-dimensional stable surgery theorem.
A regularity lemma for functions of several variables.
We shall prove the following Theorem. Let Fs and Fu be two continuous transverse foliations with uniformly smooth leaves, of some manifold. If f is uniformly smooth along the leaves of Fs and Fu, then f is smooth.
A remark on the action of the mapping class group on the unit tangent bundle
We prove that the standard action of the mapping class group of a surface of sufficiently large genus on the unit tangent bundle is not homotopic to any smooth action.
A remark on the Bott class
A remark on the geography of surfaces with birational canonical morphisms.
A remark on Thurston's stability theorem
The author gives an example showing that Thurston’s stability theorem cannot be generalized to non-oriented foliations.
A resolution theorem for homology cycles of real algebraic varieties.
A secondary Chern-Euler class.
A semi-simplicial approach to foliations and their transverse structure [Book]
A set of axioms for the degree of a tangent vector field on differentiable manifolds.
A Sharp Bound for the Number of Points where a Rank 3 Stable Reflexive Sheaf is not Free.
A singular Riemann-Roch for Hirzebruch characteristics