Twist spinning of knots and metabolizers of Blanchfield pairings

Stefan Friedl; Patrick Orson

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arXiv · 1312.1934

Twist spinning of knots and metabolizers of Blanchfield pairings

Stefan Friedl·Patrick Orson

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Abstract

In a classic paper Zeeman introduced the k-twist spin of a knot K and showed that the exterior of a twist spin fibers over S^1. In particular this result shows that the knot K # -K is doubly slice. In this paper we give a quick proof of Zeeman's result. The k-twist spin of K also gives rise to two metabolizers for K # -K and we determine these two metabolizers precisely.

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Stefan Friedl, Patrick Orson. 2014-10-24. Twist spinning of knots and metabolizers of Blanchfield pairings. https://arxiv.org/abs/1312.1934

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