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Twist spinning of knots and metabolizers of Blanchfield pairings

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.

preprint2014arXivOpen access
Stefan FriedlPatrick Orson
math.GT
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Stefan FriedlPatrick Orson

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