Left-orderability of Dehn surgeries on knot complements

Let M be a Q-homology solid torus. In this thesis, we give a cohomological criterion for the existence of an interval of left orderable Dehn surgeries on M. We apply this criterion to prove that the two-bridge knot that corresponds to the continued fraction [1,1,2,2,2j] for j >= 1 and the (-3,3,2j+1)-pretzel knot admit an interval of left orderable Dehn surgeries. These two families of knots gives some positive evidence for a question of Xinghua Gao.

Grantor dc:publisher

Temple University. Libraries

Year dc:date.issued

2022

Author dc:creator

• Le, Khanh

Advisor dc:contributor.advisor

• Stover, Matthew

Committee members dc:contributor.committeemember

• Futer, David
• Miller, Allison N.
• Taylor, Samuel J.

• Mathematics

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• IN COPYRIGHT- This Rights Statement can be used for an Item that is in copyright. Using this statement implies that the organization making this Item available has determined that the Item is in copyright and either is the rights-holder, has obtained permission from the rights-holder(s) to make their Work(s) available, or makes the Item available under an exception or limitation to copyright (including Fair Use) that entitles it to make the Item available.

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/20.500.12613/7787

OAI identifier oai:identifier

oai:scholarshare.temple.edu:20.500.12613/7787