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
A special type of triangulations in numerical nonlinear analysis.
To calculate the zeros of a map f : Rn → Rn we consider the class of triangulations of Rn so that a certain point belongs to a simplex of fixed diameter and dimension. In this paper two types of this new class of triangulations are constructed and shown to be useful to calculate zeros of piecewise linear approximations of f.
A spectral sequence for orbifold cobordism
The aim of this paper is to introduce a spectral sequence that converges to the cobordism groups of orbifolds with given isotropy representations. In good cases the E¹-term of this spectral sequence is given by a certain cobordism group of orbibundles over purely ineffective orbifolds which can be identified with the bordism group of the classifying space of the Weyl group of a finite subgroup of O(n). We use this spectral sequence to calculate some cobordism groups of orbifolds for low dimensions,...
A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of connections.
A Splitting Theorem for Certain Cohomology Theories Associated to BP* ( - ).
A Splitting Theorem for Manifolds.
A splitting theorem for the Kupka component of a foliation of . Addendum to a paper by O. Calvo-Andrade and N. Soares
Here we show that a Kupka component of a codimension 1 singular foliation of with not a square is a complete intersection. The result implies the existence of a meromorphic first integral of .
A splitting theorem for the Kupka component of a foliation of . Addendum to an addendum to a paper by Calvo-Andrade and Soares
Here we show that a Kupka component of a codimension 1 singular foliation of is a complete intersection. The result implies the existence of a meromorphic first integral of . The result was previously known if was assumed to be not a square.