24 citations · 49 across the 13 of their papers we have counts for
15 papers
Aspherical 4-manifolds of odd Euler characteristic
Allan L. Edmonds
An explicit construction of closed, orientable, smooth, aspherical 4-manifolds with any odd Euler characteristic greater than 12 is presented. The manifolds constructed here are al…
Euler characteristics of generalized Haken manifolds
Michael W. Davis, Allan L. Edmonds
Haken n-manifolds have been defined and studied by B. Foozwell and H. Rubinstein in analogy with the classical Haken manifolds of dimension 3, based upon the the theory of boundary…
The Euler Characteristic of a Haken 4-Manifold
Allan L. Edmonds
Haken n-manifolds are aspherical manifolds, defined and studied by B. Foozwell and H. Rubinstein, that can be successively cut open along essential codimension-one submanifolds unt…
The combinatorics of hyperbolized manifolds
Allan L. Edmonds, Steven Klee
A topological version of a longstanding conjecture of H. Hopf, originally proposed by W. Thurston, states that the sign of the Euler characteristic of a closed aspherical manifold…
Finite groups with many involutions
Allan L. Edmonds, Zachary B. Norwood
It is shown that a finite group in which more than 3/4 of the elements are involutions must be an elementary abelian 2-group. A group in which exactly 3/4 of the elements are invol…
A survey of group actions on 4-manifolds
Allan L. Edmonds
Over 50 years of work on group actions on -manifolds, from the 1960's to the present, from knotted fixed point sets to Seiberg-Witten invariants, is surveyed. Locally linear act…