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Tight Contact Structures on Lens Spaces

John Etnyre
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Abstract

In this paper we develop a method for studying tight contact structures on lens spaces. We then derive uniqueness and non-existence statements for tight contact structures with certain (half) Euler classes on lens spaces. We also prove that any lens space admits only finitely many tight contact structures.

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John Etnyre. 2000-05-18. Tight Contact Structures on Lens Spaces. https://arxiv.org/abs/math/9812065

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