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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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