A reconstruction lemma for enhanced bypass sequences

Matthias Scharitzer

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arXiv · 2608.20912

A reconstruction lemma for enhanced bypass sequences

Matthias Scharitzer

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Abstract

In the appendix of [LSV26], the authors produce an invariant for contact structures on $\Sigma \times [0,1]$. In this paper, we prove a result announced there which states that this is in-fact a full invariant. As an application, we provide an independent proof of Eliashbergs theorem and show that various construction methods for contact structures are equivalent.

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Matthias Scharitzer. 2026-08-21. A reconstruction lemma for enhanced bypass sequences. https://arxiv.org/abs/2608.20912

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