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Obtaining genus 2 Heegaard splittings from Dehn surgery
genus 2 Heegaard splittings Dehn surgery Geometric Topology
2012/5/9
Let K' be a hyperbolic knot in S^3 and suppose that some Dehn surgery on K' with distance at least 3 from the meridian yields a 3-manifold M of Heegaard genus 2. We show that if M does not contain an ...
Left-orderable fundamental groups and Dehn surgery
Left-orderable fundamental groups Dehn surgery
2010/12/9
There are various results that frame left-orderability of a group as a geometric property. Indeed, the fundamental group of a 3-manifold is left-orderable whenever the first Betti number is positive; ...