Left-Orderability for Surgeries on Twisted Torus Knots

Date

2019-01

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Publisher

Japan Academy

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Abstract

We show that the fundamental group of the 3-manifold obtained by p/q-surgery along the (n - 2)-twisted (3, 3m + 2)-torus knot, with n, m ≥ 1, is not left-orderable if p/q ≥ 2n + 6m - 3 and is left-orderable if p/q is sufficiently close to 0.

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Keywords

Dehn surgery (Topology), Orderable groups, Knot theory, Mathematics, Twisted torus knots

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Simons Foundation (#354595)

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©2019 The Japan Academy

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