Can I read Non-left-orderable Surgeries on Twisted Torus Knots on EtoBox?

Non-left-orderable Surgeries on Twisted Torus Knots by Christianson, Katherine; Goluboff, Justin; Hamann, Linus; Varadaraj, Srikar is a scholarly article available to read on EtoBox.

What is Non-left-orderable Surgeries on Twisted Torus Knots about?

Boyer, Gordon, and Watson have conjectured that an irreducible rational homology 3-sphere is an L-space if and only if its fundamental group is not left-orderable. Since large classes of L-spaces can be produced from Dehn surgery on knots in the 3-sphere, it is natural to ask what conditions on the knot group are sufficient to imply that the quotient associated to Dehn surgery is not left-orderable. Clay and Watson develop a criterion for determining the left-orderability of this quotient group and use it to verify the conjecture for surgeries on certain L-space twisted torus knots. We generalize a recent theorem of Ichihara and Temma to provide another such criterion. We then use this new criterion to generalize the results of Clay and Watson and to verify the conjecture for a much broader class of L-space twisted torus knots.

Author

Christianson, Katherine; Goluboff, Justin; Hamann, Linus; Varadaraj, Srikar

Published

2014

Language

EN