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Junior Topology
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Kai Nakamura, : Trace embeddings from 0-surgery homeomorphisms
Wednesday, July 21, 2021, 02:00pm - 03:00pm
Manolescu and Piccirillo recently proposed a construction of exotic homotopy 4-spheres using 0-surgery homeomorphisms and rasmussens s-invariant. They produced a family of knots that if any were slice, one could construct an exotic 4-sphere. I will discuss why you could construct this exotic 4-sphere if any of these knots were slice and how these knots were found. Furthermore, I will show that these knots are in fact not slice and hence cannot be used to construct an exotic S^4. This is a candidacy talk and will be over zoom. The zoom link will be sent to the junior topology email list or email kai to get it.

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