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math.GT1997
Ubiquity of geometric finiteness in mapping class groups of Haken 3-manifolds
Sungbok Hong, Darryl McCullough
Mapping class groups of Haken 3-manifolds enjoy many of the homological finiteness properties of mapping class groups of 2-manifolds of finite type. For example, H(M) has a torsion…
math.GT1997
The Generalized Smale Conjecture for 3-manifolds with genus 2 one-sided Heegaard splittings
Darryl McCullough, J. H. Rubinstein
The Generalized Smale Conjecture asserts that if M is a closed 3-manifold with constant positive curvature, then the inclusion of the group of isometries into the group of diffeomo…