Veering triangulations and their polynomials

Abstract:

This is an introduction to Sam's talk. McMullen introduced certain polynomials associated to fibered three-manifolds, which package together the dynamical data associated to all the fibrations in a given fibered face of Thurston's norm ball. Agol's veering triangulations provide a good setting in which similar invariants can be defined. I will review this background, explain the definition of the "veering Polynomial" and the "taut Polynomial", the relationship between them, and how they recover McMullen's polynomial in the fibered face.

This is joint work with Michael Landry and Sam Taylor.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( chat | paper | slides )

---

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 five minutes after the hour. Talks are typically 55 minutes long, including time for questions.

---