Non-leftordarable surgeries on twisted torus knots
Abstract
The well-known L-space conjecture saids that an irreducible rational homology 3-sphere is an L-space if and only if its fundamental group is not left-orderable.
One of the known approaches to the conjecture is by using Dehn surgery.
In this talk, I will talk about Dehn surgeries on twisted torus knots yielding 3-manifolds with non-leftorderable fundamental groups.
This talk is based on joint works with Yuki Temma and Yasuharu Nakae.