Joint GT-UGA Seminar at GT - Asymmetric L-space Knots by Ken Baker

Geometry Topology Seminar
Monday, April 16, 2018 - 14:00
1 hour (actually 50 minutes)
Skiles 006
University of Miami
Based on the known examples, it had been conjectured that all L-space knots in S3 are strongly invertible.  We show this conjecture is false by constructing large families of asymmetric hyperbolic knots in S3 that admit a non-trivial surgery to the double branched cover of an alternating link.  The construction easily adapts to produce such knots in any lens space, including S1xS2.  This is joint work with John Luecke.