Twist spinning of knots and metabolizers of Blanchfield pairings

@inproceedings{Friedl2013TwistSO,
  title={Twist spinning of knots and metabolizers of Blanchfield pairings},
  author={Stefan Friedl and Patrick Orson},
  year={2013}
}
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.