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Big Dehn surgery graph and the link of s^3
(2013-11-15)
Verified computations for hyperbolic 3-manifolds
(2013-10-12)
For a given cusped 3-manifold M admitting an ideal triangulation, we describe a method to rigorously prove that either M or a filling of M admits a complete hyperbolic structure via verified computer calculations. Central ...
On manifolds with multiple lens space filings
(2013-08-22)
An irreducible 3--manifold with torus boundary either is a Seifert fibered space or admits at most three lens space fillings according to the Cyclic Surgery Theorem. We examine the sharpness of this theorem by classifying ...
Null-homologous exotic surfaces in 4-manifolds
(2013-10-07)
In this paper we exhibit infinite families of embedded tori in 4-manifolds that are topologically isotopic but smoothly distinct. The interesting thing about these tori is that they are topologically trivial in the sense ...