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math.GT2004★ 1 cited
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…
math.GT2004
Ideal triangulations of 3--manifolds I: spun normal surface theory
Ensil Kang, J. Hyam Rubinstein
In this paper, we will compute the dimension of the space of spun and ordinary normal surfaces in an ideal triangulation of the interior of a compact 3-manifold with incompressible…
math.GT2003
Closed geodesics on incomplete surfaces
Paul Norbury, J. Hyam Rubinstein
We consider the problem of finding embedded closed geodesics on the two-sphere with an incomplete metric defined outside a point. Various techniques including curve shortening meth…