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arXiv · 1909.05993

Twist left-veering open books, overtwistedness, looseness and virtual looseness

Tetsuya Ito·Keiko Kawamuro
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Abstract

We introduce twist left-veering mapping classes of punctured surfaces. We prove that a twist left-veering open book supports an overtwisted contact structure and determine when the closed braid coming from the punctures is loose or virtually loose.

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Tetsuya Ito, Keiko Kawamuro. 2020-04-20. Twist left-veering open books, overtwistedness, looseness and virtual looseness. https://arxiv.org/abs/1909.05993

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