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Non-Left-Orderable Surgeries on Twisted Torus Knots

Columbia University ↗

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From the Columbia Mathematics Summer 2014 Undergraduate Research Project. Boyer, Gordon, and Watson have conjectured an equivalence between L-spaces and spaces with non-left-orderable fundamental group. The goal of our research has been to verify this conjecture for surgery on twisted torus knots. In our presentation, we will introduce the concepts of left-orderability, L-spaces, and knot surgery, and then we will briefly describe our methodology and results. Katherine Christianson, Justin Goluboff, Linus Hamann, and Srikar Varadaraj (advised by Jennifer Hom and Mike Wong)

Published 2014-09-02 · Watch on YouTube ↗
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