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.
A propos de conjectures de Serre et Sullivan.
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 quaternionic treatment of Navier-Stokes equations
A Quick proof of Singhof's cat (M x S1) = cat (M) + 1 theorem.
A quick proof of the 4-dimensional stable surgery theorem.
A rational noncommutative invariant of boundary links.
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 relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion
We show a relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion for a -regular or -representation of a knot group. Then we give a method to calculate the non-acyclic Reidemeister torsion of a knot exterior. We calculate a new example and investigate the behavior of the non-acyclic Reidemeister torsion associated to a -bridge knot and -representations of its knot group.
A Relative cohomological invariant for group pairs.
A remark on subgroups of infinite index in Poincaré duality groups.
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 Remark on Universal Connections.
A resolution theorem for homology cycles of real algebraic varieties.