Fibered simple knots

@article{Greene2021FiberedSK,
  title={Fibered simple knots},
  author={Joshua Evan Greene and John S Luecke},
  journal={Advances in Mathematics},
  year={2021}
}
1 Citations

On Floer minimal knots in sutured manifolds

It is known that the rank of the sutured Floer homology of <inline-formula content-type="math/mathml"> is a rationally null-homologous knot in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper M">.

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Similar to knots in S 3 , any knot in a lens space has a grid diagram from which one can combinatorially compute all of its knot Floer homology invariants. We give an explicit description of the

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We propose a classification of knots in S^1 x S^2 that admit a longitudinal surgery to a lens space. Any lens space obtainable by longitudinal surgery on some knots in S^1 x S^2 may be obtained from

Lens space surgeries and L-space homology spheres

We describe necessary and sufficient conditions for a knot in an L-space to have an L-space homology sphere surgery. We use these conditions to reformulate a conjecture of Berge about which knots in