A few topological problems
A Filtration of the Loops on SU (N) by Schubert Varieties.
A filtration of the set of integral homological 3-spheres.
A finite graphic calculus for 3-manifolds.
A finiteness theorem for Riemannian submersions
Given some geometric bounds for the base space and the fibres, there is a finite number of conjugacy classes of Riemannian submersions between compact Riemannian manifolds.
A finiteness theorem for the burnside ring of a compact Lie group
A fixed-point theorem for homeomorphisms of
A flat manifold with no symmetries.
A flat plane that is not the limit of periodic flat planes.
A foliation of and other punctured 3-manifolds by circles
A free group acting without fixed points on the rational unit sphere
A functional relation in stable knot theory.
A functorial approach to differential characters.
A functor-valued invariant of tangles.
A -minimal model for principal -bundles
Sullivan associated a uniquely determined to any simply connected simplicial complex . This algebra (called minimal model) contains the total (and exactly) rational homotopy information of the space . In case is the total space of a principal -bundle, ( is a compact connected Lie-group) we associate a -equivariant model , which is a collection of “-homotopic” ’s with -action. will, in general, be different from the Sullivan’s minimal model of the space . contains the total rational...
A GAP package for braid orbit computation and applications.
A Garside presentation for Artin-Tits groups of type
We prove that an Artin-Tits group of type is the group of fractions of a Garside monoid, analogous to the known dual monoids associated with Artin-Tits groups of spherical type and obtained by the “generated group” method. This answers, in this particular case, a general question on Artin-Tits groups, gives a new presentation of an Artin-Tits group of type , and has consequences for the word problem, the computation of some centralizers or the triviality of the center. A key point of the proof...
A gauge-field approach to 3- and 4-manifold invariants
An approach to construction of topological invariants of the Reshetikhin-Turaev-Witten type of 3- and 4-dimensional manifolds in the framework of SU(2) Chern-Simons gauge theory and its hidden (quantum) gauge symmetry is presented.
A general approximation theorem for Hilbert cube manifolds