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arXiv · 2504.13096

Tight and overtwisted contact structures

John B. Etnyre
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Abstract

The tight versus overtwisted dichotomy has been an essential organizing principle and driving force in 3-dimensional contact geometry since its inception around 1990. In this article, we will discuss the genesis of this dichotomy in Eliashberg's seminal work and his influential contributions to the theory.

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John B. Etnyre. 2025-04-17. Tight and overtwisted contact structures. https://arxiv.org/abs/2504.13096

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