Embedding closed hyperbolic 3-manifolds in small volume hyperbolic 4-manifolds
- Geometry Topology Seminar
- Monday, October 26, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Skiles 006
- Michelle Chu – University of Illinois at Chicago – email@example.com
The smallest volume cusped hyperbolic 3-manifolds, the figure-eight knot complement and its sister, contain many immersed but no embedded closed totally geodesic surfaces. In this talk we discuss the existence or lack thereof of codimension-1 closed embedded totally geodesic submanifolds in minimal volume cusped hyperbolic 4-manifolds. This talk is based on joint work with Alan Reid.