1 citations · 1 across the 2 of their papers we have counts for
10 papers · 1 filter
Orientation-reversing free actions on handlebodies
Antonio F. Costa, Darryl McCullough
We examine free orientation-reversing group actions on orientable handlebodies, and free actions on nonorientable handlebodies. A classification theorem is obtained, giving the equ…
The Smale Conjecture for lens spaces
Sungbok Hong, Darryl McCullough, J. Hyam Rubinstein
The original Smale Conjecture asserted that the inclusion of the group O(4) of isometries of the round 3-sphere S into the full diffeomorphism group Diff(S) is a homotopy equivalen…
Imbeddings of free actions on handlebodies
Darryl McCullough
Fix a free, orientation-preserving action of a finite group G on a 3-dimensional handlebody V. Whenever G acts freely preserving orientation on a connected 3-manifold X, there is a…
Free actions on handlebodies
Darryl McCullough, Marcus Wanderley
The equivalence (or weak equivalence) classes of orientation-preserving free actions of a finite group G on an orientable 3-dimensional handlebody of genus g can be enumerated in t…
Isometries of elliptic 3-manifolds
Darryl McCullough
The closed 3-manifolds of constant positive curvature were classified long ago by Seifert and Threlfall. Using well-known information about the orthogonal group O(4), we calculate…
Concentration points for Fuchsian groups
Sungbok Hong, Darryl McCullough
A limit point p of a discrete group of Mobius transformations acting on S^n is called a concentration point if for any sufficiently small connected open neighborhood U of p, the se…