13 citations · 46 across the 8 of their papers we have counts for
8 papers
A Geometric Interpretation of Ranicki Duality
Frank Connolly
Our main theorem provides an chain isomorphism: . Here is the Ranicki Duality functor; is the simplicial cochain complex of the simplicial c…
Topological rigidity and actions on contractible manifolds with discrete singular set
Frank Connolly, James F. Davis, Qayum Khan
The problem of equivariant rigidity is the -homeomorphism classification of -actions on manifolds with compact quotient and with contractible fixed sets for all finite subgro…
Topological rigidity and H_1-negative involutions on tori
Frank Connolly, James F. Davis, Qayum Khan
We prove there is only one involution (up to conjugacy) on the n-torus which acts as on the first homology group when is of the form , is of the form ,…
On The Dimension of The Virtually Cyclic Classifying Space of a Crystallographic Group
Frank Connolly, Benjamin Fehrman, Michael Hartglass
In this paper we construct a model for the classifying space, BVCG, of a crystallographic group G of rank n relative to the family VC of virtually-cyclic subgroups of G. The model…
Braid groups and right angled Artin groups
Frank Connolly, Margaret Doig
The n-string braid group of a graph X is defined as the fundamental group of the n-point configuration space of the space X. This configuration space is a finite dimensional aspher…
The surgery obstruction groups of the infinite dihedral group
Francis X. Connolly, James F. Davis
This paper computes the quadratic Witt groups (the Wall L-groups) of the polynomial ring Z[t] and the integral group ring of the infinite dihedral group, with various involutions.…