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Wenzhao Chen : Negative amphicheiral knots and the half-Alexander polynomial
In this talk, we will study strongly negative amphicheiral knots - a class of knots with symmetry. These knots provide torsion elements in the knot concordance group, which are less understood than infinite-order elements. We will introduce the half-Alexander polynomial, an equivariant version of the Alexander polynomial for strongly negative amphicheiral knots, focusing on its applications to knot concordance. In particular, I will show how it facilitated the construction of the first examples of non-slice amphicheiral knots of determinant one. This talk is based on joint work with Keegan Boyle.
- Category: Geometry and Topology
- Duration: 58:20
- Date: October 23, 2023 at 3:10 PM
- Views: 115
- Tags: seminar, Geometry and Topology Seminar
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