On symmetric group actions on spin 4-manifolds.
On the algebraic structure on the jet prolongations of fibred manifolds
On the Geometric Weight System of Topological Actions on Cohomology Quaternionic Projective Spaces.
On the intersection forms of spin 4-manifolds bounded by spherical 3-manifolds.
On the number of non-equivalent differentiable structures on 4-Manifolds.
On the topology of positively curved Bazaikin spaces
We explore some aspects of the topology of the family of 13-dimensional Bazaikin spaces. Using the computation of their homology rings, Pontryagin classes and linking forms, we show that there is only one Bazaikin space that is homotopy equivalent to a homogeneous space, i.e., the Berger space. Moreover, it is easily shown that there are only finitely many Bazaikin spaces in each homeomorphism type and that there are only finitely many positively curved ones for a given cohomology ring. In fact,...
Orthogonal polynomials represented by CW-spheres.
Parallelizability of Homogeneous Spaces. I.
Parallelizability of Homogeneous Spaces, II.
Parallelizability of Homogeneous Spaces, II (Erratum).
Parity of the spin structure defined by a quadratic differential.
Projective varieties with non-residually finite fundamental group
Quelques éléments dans l'homotopie stable du groupe unitaire
Reidemeister-Turaev torsion modulo one of rational homology threespheres.
Resolutions of moduli spaces and homological stability
We describe partial semi-simplicial resolutions of moduli spaces of surfaces with tangential structure. This allows us to prove a homological stability theorem for these moduli spaces, which often improves the known stability ranges and gives explicit stability ranges in many new cases. In each of these cases the stable homology can be identified using the methods of Galatius, Madsen, Tillmann and Weiss.
Riemann surfaces and spin structures
Seiberg-Witten Theory
We give an introduction into and exposition of Seiberg-Witten theory.
Signature modulo 16, invariants de Kervaire généralisés et nombres caractéristiques dans la -théorie réelle
Some remarks on symplectic actions of compact groups.
-structures and homotopy equivalences.