Monday, September 23, 2024, 02:00pm - 03:00pm
In this joint work with Wenzhao Chen, we study the different types of symmetric crossing changes possible on strongly invertible knots. We will discuss which strongly invertible knots can be unknotted with a sequence of each type of symmetric crossing change. For knots that can be unknotted this way, we discuss methods to obtain lower bounds on the minimum number of symmetric crossing changes needed. I will also explain why some natural equivariant versions of the conjecture that the unknotting number is additive under connected sum are false.
Location: PMA 12.166