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Zero-crossing and one-crossing knots in thickened surfaces February 05, 2010
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Yi Ni
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Let $K$ be a knot in a thickened surface $F\times I$. Suppose a nontrivial surgery on $K$ yields a manifold which is homeomorphic to $F\times I$, then the minimal projection of $K$ on $F$ has either zero or one crossing. I will discuss the proof, as well as some further questions in gauge theory and Floer homology.

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