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arXiv · 2411.06467

A bypass in the middle

Dahyana Farias·Eduardo Fernández
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Abstract

We provide a topological characterization for a family of bypasses with a fixed attaching arc to be contractible. This characterization is formulated in terms of the existence of a bypass that is disjoint from the given family away from the attaching region. As an application, we provide new proofs of several h-principles in overtwisted contact 3-manifolds.

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Dahyana Farias, Eduardo Fernández. 2024-11-10. A bypass in the middle. https://arxiv.org/abs/2411.06467

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