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arXiv · 2108.07764

Transverse links, open books and overtwisted manifolds

Rima Chatterjee
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Abstract

We prove that transverse links in any contact manifold $(M,\xi)$ can be realized as a sub-binding of a compatible open book decomposition. We define the support genus of a transverse link and prove that the support genus of a transverse knot is zero if there is an overtwisted disk disjoint from it. Next, we find a relationship between the support genus of a transverse link and its Legendrian approximation.

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Rima Chatterjee. 2021-08-17. Transverse links, open books and overtwisted manifolds. https://arxiv.org/abs/2108.07764

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