Caltech Home > PMA Home > Calendar > Geometry and Topology Seminar
open search form
Friday, April 09, 2021
3:00 PM - 4:00 PM
Online Event

Geometry and Topology Seminar

Amphichiral knots with large 4-genera
Allison Miller, Mathematics Department, Rice University,

An oriented knot is called negative amphichiral if it is isotopic to the reverse of its mirror image. Such knots have order at most two in the concordance group, and many modern concordance invariants vanish on them. Nevertheless, we will see that there are negative amphichiral knots with arbitrarily large 4-genera (i.e. which are highly 4-dimensionally complex), using Casson-Gordon signature invariants as a primary tool.

For more information, please contact Math Department by phone at 626-395-4335 or by email at or visit