Left-Orderability for Surgeries on Twisted Torus Knots

dc.contributor.author	Tran, Anh T.
dc.contributor.utdAuthor	Tran, Anh T.
dc.date.accessioned	2020-07-24T20:43:18Z
dc.date.available	2020-07-24T20:43:18Z
dc.date.issued	2019-01
dc.description.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.
dc.description.department	School of Natural Sciences and Mathematics
dc.description.sponsorship	Simons Foundation (#354595)
dc.identifier.bibliographicCitation	Tran, Anh T., 2019. "Left-orderability for surgeries on twisted torus knots." Proceedings of the Japan Academy Series A, Mathematical Sciences 95(1): 6-10, doi: http://dx.doi.org/10.3792/pjaa.95.6
dc.identifier.issn	0386-2194
dc.identifier.issue	1
dc.identifier.uri	http://dx.doi.org/10.3792/pjaa.95.6
dc.identifier.uri	https://hdl.handle.net/10735.1/8735
dc.identifier.volume	95
dc.language.iso	en
dc.publisher	Japan Academy
dc.rights	©2019 The Japan Academy
dc.source.journal	Proceedings of the Japan Academy Series A, Mathematical Sciences
dc.subject	Dehn surgery (Topology)
dc.subject	Orderable groups
dc.subject	Knot theory
dc.subject	Mathematics
dc.subject	Twisted torus knots
dc.title	Left-Orderability for Surgeries on Twisted Torus Knots
dc.type.genre	article

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