Slice knots and knot concordance

Arunima Ray

doi:10.5802/wbln.39

Arunima Ray ¹

¹ Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany

Winter Braids Lecture Notes, Volume 8 (2021), Talk no. 2, 31 p.

Abstract

These notes were prepared to accompany a sequence of three lectures at the conference Winterbraids XI in Dijon, held in December 2021. In them, we provide an introduction to slice knots and the equivalence relation of concordance. We explain some connections between slice knots and exotic smooth structures on $ℝ^{4}$ . We also introduce filtrations of the knot concordance groups and satellite operations.

Published online: 2024-01-19

DOI: 10.5802/wbln.39

Author's affiliations:

Arunima Ray ¹

¹ Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany

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Arunima Ray. Slice knots and knot concordance. Winter Braids Lecture Notes, Volume 8 (2021), Talk no. 2, 31 p. doi : 10.5802/wbln.39. https://proceedings.centre-mersenne.org/articles/10.5802/wbln.39/

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