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Obtaining genus 2 Heegaard splittings from Dehn surgery
genus 2 Heegaard splittings Dehn surgery Geometric Topology
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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 ...
Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots II
Genus two Heegaard splittings exteriors 1-genus 1-bridge knots II
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2010/12/3
A knot K is called a 1-genus 1-bridge knot in a 3-manifold M if (M,K) has a Heegaard splitting (V1, t1) ∪ (V2, t2) where Vi is a solid torus and ti is a boundary parallel arc properly embedded in Vi. ...
Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots
two Heegaard splittings exteriors 1-genus 1-bridge knots
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2010/12/3
A knot K in a closed connected orientable 3-manifold M is called a 1-genus 1-bridge knot if (M,K) has a splitting into two pairs of a solid torus Vi (i = 1, 2) and a boundary parallel arc in it. The s...