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Twisted Alexander polynomials of 2-bridge knots
Twisted Alexander polynomials 2-bridge knots Geometric Topology
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2012/6/30
We investigate the twisted Alexander polynomial of a 2-bridge knot associated to a Fox coloring. For several families of 2-bridge knots, including but not limited to, torus knots and genus-one knots, ...
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...