A classification theorem for connections.
A geometric invariant of discrete groups.
A geometric study of Fibonacci groups.
A locally connected non-movable continuum that fails to separate
A norm for the cohomology of 2-complexes.
A note on a 3-dimensional homogeneous space
A partial order in the knot table.
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 short proof of Eilenberg and Moore’s theorem
In this paper we give a short and simple proof the following theorem of S. Eilenberg and J.C. Moore: the only injective object in the category of groups is the trivial group.
A Splicing formula for Casson-Walker's invariant.
A topological version of Bertini's theorem
We give a topological version of a Bertini type theorem due to Abhyankar. A new definition of a branched covering is given. If the restriction of the natural projection π: Y × Z → Y to a closed set V ⊂ Y × Z is a branched covering then, under certain assumptions, we can obtain generators of the fundamental group π₁((Y×Z).
A volume form on the SU(2)-representation space of knot groups.
Actions of discrete groups on nonpositively curved spaces.
Alexander duality, gropes and link homotopy.
Almost-Bieberbach groups with prime order holonomy
The main issue of this paper is an attempt to find a decomposition theorem for infra-nilmanifolds in the same spirit as a result of A. Vasquez for flat Riemannian manifolds. That is: we look for infra-nilmanifolds with prime order holonomy which can be obtained as a fiber space with a non-trivial nilmanifold as fiber and an infra-nilmanifold as its base. In this perspective, we prove the following algebraic result: if E is an almost-Bieberbach group with prime order holonomy,...
Amenable Groups and Stabilizers of Measures on the Boundary of a Hadamard Manifold.
An Abelian Quotient of the Mapping Class Group ...g.
An analytic interpretation of real dimension subgroups.