A Fox-Milnor Condition for 1-Solvable Links

Geometry Topology Seminar
Monday, November 8, 2021 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Shawn Williams – Rice University – sw49@rice.eduhttps://sites.google.com/view/shawn-williams
Miriam Kuzbary

A well known result of Fox and Milnor states that the Alexander polynomial of slice knots factors as f(t)f(t^{-1}), providing us with a useful obstruction to a knot being slice. In 1978 Kawauchi demonstrated this condition for the multivariable Alexander polynomial of slice links.  In this talk, we will present an extension of this result for the multivariable Alexander polynomial of 1-solvable links. (Note: This talk will be in person)