English

A bypass in the middle

Geometric Topology 2024-11-12 v1 Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.2411.06467,
  title  = {A bypass in the middle},
  author = {Dahyana Farias and Eduardo Fernández},
  journal= {arXiv preprint arXiv:2411.06467},
  year   = {2024}
}

Comments

22 pages, 9 figures

R2 v1 2026-06-28T19:54:45.408Z