Session S28 - Knots, Surfaces, 3-manifolds

Thursday, July 15, 16:40 ~ 17:10 UTC-3

The L-space conjecture and toroidal 3-manifolds

Steven Boyer

UQAM, Canada   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Hanselman, Rasmussen and Watson have characterised closed, toroidal, non-L-space 3-manifolds expressed as the union of manifolds with incompressible torus boundaries in terms of the gluing map. We discuss analogous results on the left-orderabilty of their fundamental groups suggested by the L-space conjecture together with some applications.

Joint work with Cameron McA. Gordon (University of Texas at Austin) and Ying Hu (University of Nebraska at Omaha).

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