Small Cusped Hyperbolic 3-Manifolds and Order-Preserving Braids

Explore the fascinating world of minimal-volume cusped orientable hyperbolic 3-manifolds in this 33-minute conference talk by Dale Rolfsen from the University of British Columbia. Delve into joint research with Eiko Kin, examining the fundamental groups of one-cusp and two-cusp minimal examples. Discover how some of these groups are bi-orderable while others are not. Learn about the concept of "order-preserving" braids and their connection to the Artin action on the automorphism group of the free group F_n. This talk, part of the Workshop on Orderable Groups at the Centre de recherches mathématiques, offers valuable insights into the intersection of hyperbolic geometry, group theory, and braid theory.

Dale Rolfsen: Small cusped hyperbolic 3-manifolds and order-preserving braids