Left-Orderability for Surgeries on Twisted Torus Knots
Date
2019-01
Authors
ORCID
Journal Title
Journal ISSN
Volume Title
Publisher
Japan Academy
item.page.doi
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.
Description
Keywords
Dehn surgery (Topology), Orderable groups, Knot theory, Mathematics, Twisted torus knots
item.page.sponsorship
Simons Foundation (#354595)
Rights
©2019 The Japan Academy