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Alternating knots satisfy the L-space knot conjecture

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Roberts, Rachel

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Alternating knots satisfy the L-space knot conjecture
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19
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I will describe a construction of (codimension one) co-oriented taut foliations (CTFs) of 3-manifolds. It follows from this construction that if K is a composite, alternating, or Montesinos knot, then the L-space conjecture of Ozsvath and Szabo holds for any 3-manifold obtained by Dehn surgery along K. I will focus on the alternating knot case. This work is joint with Charles Delman.