Veering triangulations encoding the same pseudo-Anosov flow

By a theorem of Agol and Guéritaud, every transitive pseudo-Anosov flow on a closed oriented 3-manifold can be combinatorially encoded by a finite veering triangulation. This encoding is not unique: different veering triangulations arise by drilling out different collections of periodic orbits of the flow.

In this talk, I will describe an algorithm that, given one veering triangulation, constructs another that encodes the same flow. I will also discuss the dynamical motivations for studying this operation and why understanding the resulting change in the combinatorics matters.

This is joint work with Henry Segerman.

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