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

Series
Geometry Topology Seminar
Time
Monday, April 16, 2018 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Ken Baker – University of Miami
Organizer
Caitlin Leverson
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.