Samuel A. Ballas
Published 2012-10-31, updated 2014-01-13Version 2
In this paper, we demonstrate that the complete hyperbolic structure of various two-bridge knots and links cannot be deformed to an inequivalent strictly convex projective structure. We also prove a complementary result showing that under certain rigidity hypotheses, branched covers of amphicheiral knots admit non-trivial, strictly convex deformations near their complete hyperbolic structure.
Comments: 28 pages, 1 figure corrected typos, added references, incorporated referee suggestions, strengthened conclusion of main result and fixed small gap in its proof
Proving a manifold to be hyperbolic once it has been approximated to be so
Diffeotopy groups of non-compact 4-manifolds
Verified computations for hyperbolic 3-manifolds
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