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Null surgery on knots in L-spaces

Presented by: 
Yi Ni CALTECH (California Institute of Technology)
Date: 
Wednesday 1st February 2017 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 
Co-author: Faramarz Vafaee (Caltech)
 
Let   be a knot in a rational homology sphere  . Then there is a unique surgery on   which results a manifold with    . We call this surgery the null surgery. When   is an L-space, the null surgery remembers the information about the genus and fiberedness of the knot. A special case of our theorem is that if the resulting manifold is      , then the dual knot is a spherical braid. This is joint work with Faramarz Vafaee.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons