Unique surgery descriptions along knots

Abstract: It is known that any three-manifold can be obtained by Dehn surgery along a link. However, such descriptions are often highly non-unique, even when restricted to surgeries along knots. I will describe how to obtain a large class of unique surgery descriptions - one such approach relies heavily on hyperbolic geometry. I will also give a gentle introduction to hyperbolic Dehn surgery.

This is joint work with Marc Kegel.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.