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Non-simplicity of isocontact embeddings in all higher dimensions

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arxiv 1811.05455 v2 pith:HV6CJPYB submitted 2018-11-13 math.SG

Roger Casals , John B. Etnyre This is my paper · ORCID
classification math.SG
keywords contactembeddingsdimensionshigherisocontactisotopicsubmanifoldsarticle
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In this article we show that in any dimension there exist infinitely many pairs of formally contact isotopic isocontact embeddings into the standard contact sphere which are not contact isotopic. This is the first example of rigidity for contact submanifolds in higher dimensions. The contact embeddings are constructed via contact push-offs of higher-dimensional Legendrian submanifolds.

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  1. The Legendrian Whitney trick

    math.SG 2019-08 unverdicted novelty 8.0 of 10

    A Legendrian Whitney trick removes intersections between codimension-two contact submanifolds and Legendrian spheres, yielding an existence h-principle for codimension-two contact embeddings with prescribed contact structure.

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