Trisections and link surgeries

Robion Kirby; Abigail Thompson

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arXiv · 1910.00086

Trisections and link surgeries

Robion Kirby·Abigail Thompson

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Abstract

We examine questions about surgery on links which arise naturally from the trisection decomposition of 4-manifolds developed by Gay and Kirby. 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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Robion Kirby, Abigail Thompson. 2019-09-30. Trisections and link surgeries. https://arxiv.org/abs/1910.00086

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