Jones diameter and crossing numbers of satellite knots

Series
Geometry Topology Seminar
Time
Monday, April 17, 2023 - 3:00pm for 1 hour (actually 50 minutes)
Location
Speaker
Effie Kalfagianni – Michigan State University – kalfagia@msu.eduhttps://users.math.msu.edu/users/kalfagia/
Organizer
Miriam Kuzbary
It has been long known that the quadratic term in the degree of the colored Jones polynomial of knot provides a lower bound of the crossing number the knot.
I’ll discuss work with Lee where we determine the class of knots for which this bound is sharp and give applications to computing crossing numbers of satellite knots.