The veering polynomial, the flow graph, and the Thurston norm

Abstract:

This is a continuation of Yair’s talk on the veering polynomial. Here we show how the veering polynomial can be constructed as the Perron polynomial of a certain combinatorially defined directed graph, which we call the flow graph. This perspective will allows us to relate our polynomial to a face \(F\) of the Thurston norm ball and to see that the cone over \(F\) is spanned by surfaces that are "carried" by the veering triangulation. We’ll also discuss criteria for when the face \(F\) is fibered.

This is joint work with Michael Landry and Yair Minsky.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( chat | paper | slides )

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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.

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