Trisections and link surgeries

Authors

  • Robion Kirby University of California, Berkeley
  • Abigail Thompson University of California, Davis

DOI:

https://doi.org/10.53733/94

Keywords:

trisections, link surgeries, Heegaard splittings

Abstract

We examine questions about surgery on links which arise naturally from the trisection decomposition of 4-manifolds developed by Gay and Kirby \cite{G-K3}. These links lie on Heegaard surfaces in $\#^j S^1 \times S^2$ and have surgeries yielding $\#^k S^1 \times S^2$. We describe families of links which have such surgeries. One can ask whether all links with such surgeries lie in these families; the answer is almost certainly no. We nevertheless give a small piece of evidence in favor of a positive answer.

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Published

19-09-2021

How to Cite

Kirby, R., & Thompson, A. (2021). Trisections and link surgeries. New Zealand Journal of Mathematics, 52, 145–152. https://doi.org/10.53733/94

Issue

Section

Vaughan Jones Memorial Special Issue