Arbitrarily large veering triangulations with a vanishing taut polynomial

Anna Parlak

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arXiv · 2309.01752

Arbitrarily large veering triangulations with a vanishing taut polynomial

Anna Parlak

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Abstract

Landry, Minsky, and Taylor introduced an invariant of veering triangulations called the taut polynomial. Via a connection between veering triangulations and pseudo-Anosov flows, it generalizes the Teichm\"uller polynomial of a fibered face of the Thurston norm ball to (some) non-fibered faces. We construct a sequence of veering triangulations, with the number of tetrahedra tending to infinity, whose taut polynomials vanish. These veering triangulations encode non-circular Anosov flows transverse to tori.

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Anna Parlak. 2023-09-04. Arbitrarily large veering triangulations with a vanishing taut polynomial. https://arxiv.org/abs/2309.01752

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