An algorithm to detect laminar 3-manifolds.
An analytic proof of Novikov's theorem on rational Pontrjagin classes
An annulus theorem for suspension spheres
An asymptotic formula for the eta invariants of hyperbolic 3-manifolds.
An elementary approach to the mapping class group of a surface.
An elementary proof of a Lima's theorem for surfaces.
An elementary proof of the following theorem is given:THEOREM. Let M be a compact connected surface without boundary. Consider a C∞ action of Rn on M. Then, if the Euler-Poincaré characteristic of M is non zero there exists a fixed point.
An equivalence criterion for 3-manifolds.
Within geometric topology of 3-manifolds (with or without boundary), a representation theory exists, which makes use of 4-coloured graphs. Aim of this paper is to translate the homeomorphism problem for the represented manifolds into an equivalence problem for 4-coloured graphs, by means of a finite number of graph-moves, called dipole moves. Moreover, interesting consequences are obtained, which are related with the same problem in the n-dimensional setting.
An Exact Sequence of Braid Groups.
An Exotic Orientable 4-Manifold.
An exotic smooth structure on .
An expansion of the Jones representation of genus 2 and the Torelli group.
An extension and axiomatic characterization of Borsuk's theory of shape
An extension of the Loop theorem and resolutions of generalized 3-manifolds with 0-dimensional singular set.
An general handle addition theorem.
An infinitary version of Sperner's Lemma
We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem.
An interesting plane dendroid
An introduction to shape theory for the nonspecialist
An introduction to the abelian Reidemeister torsion of three-dimensional manifolds
These notes accompany some lectures given at the autumn school “Tresses in Pau” in October 2009. The abelian Reidemeister torsion for -manifolds, and its refinements by Turaev, are introduced. Some applications, including relations between the Reidemeister torsion and other classical invariants, are surveyed.
An invariant of smooth 4-manifolds.
An irreducible Heegaard diagram of the real projective 3-space .