## Topology Seminar: Dale Rolfson

- Date: 04/13/2016
- Time: 15:15

*UBC*

University of British Columbia

Groups of minimal volume cusped 3-manifolds

For any non-negative integer n there exist n-cusped hyperbolic 3-manifolds of minimal possible volume. They are sometimes not unique. For example there are exactly two distinct minimal 1-cusped examples: the figure eight complement, and another which is not a knot complement. Similarly there are distinct 2-cusped examples. I will show how these examples differ in terms of properties of their fundamental groups. In particular, in the pairs of examples in the 1 or 2 cusped case, one has bi-orderable fundamental group while the other’s group is not orderable. This is a preliminary announcement of work in progress with Eiko Kin (Osaka).

Location: ESB 4133 (PIMS Lounge)