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The
Legendrian Whitney trick
Roger Casals, Dishant M Pancholi and Francisco Presas |
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Geometry & Topology 25 (2021) 3229–3256
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Abstract |
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We prove the Legendrian Whitney trick, which allows for the removal of intersections between codimension- contact submanifolds and Legendrian submanifolds, assuming such a smooth cancellation is possible. We apply this technique to prove the first known existence –principle for codimension- isocontact embeddings, with a prescribed arbitrary contact structure on its domain. |
Keywords
contact structure, isocontact embeddings, $h$–principle
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Mathematical Subject Classification
Primary: 53D10
Secondary: 53D15, 57R17
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References |
Publication
Received: 15 June 2020
Revised: 12 October 2020
Accepted: 13 November 2020
Published: 30 November 2021
Proposed: Leonid Polterovich
Seconded: Yasha Eliashberg, András I Stipsicz
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Authors |
| Roger Casals | |
| Department of Mathematics University of California, Davis Davis, CA United States |
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| Dishant M Pancholi | |
| Institute for Mathematical
Sciences Chennai India |
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| Francisco Presas | |
| Instituto de Ciencias
Matemáticas CSIC–UAM–UC3M–UCM Madrid Spain |
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