The Legendrian Whitney trick

Casals, Roger ; Pancholi, Dishant M ; Presas, Francisco (2021) The Legendrian Whitney trick Geometry and Topology, 25 (6). pp. 3229-3256. ISSN 1465-3060

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Official URL: http://doi.org/10.2140/gt.2021.25.3229

Related URL: http://dx.doi.org/10.2140/gt.2021.25.3229

Abstract

In this article, we prove a Legendrian Whitney trick which allows for the removal of intersections between codimension-two contact submanifolds and Legendrian submanifolds, assuming such a smooth cancellation is possible. This technique is applied to show the existence h-principle for codimension-two contact embeddings with a prescribed contact structure.

Item Type:Article
Source:Copyright of this article belongs to Mathematical Sciences Publishers.
ID Code:128233
Deposited On:18 Oct 2022 10:04
Last Modified:18 Oct 2022 10:04

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