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arXiv · 1502.04526

Non-loose Legendrian spheres with trivial Contact Homology DGA

Tobias Ekholm
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Abstract

Loose Legendrian n-submanifolds, for n at least 2, were introduced by Murphy and proved to be flexible in the h-principle sense: any two loose Legendrian submanifolds that are formally Legendrian isotopic are also actually Legendrian isotopic. Legendrian contact homology is a Floer theoretic invariant that associates a differential graded algebra (DGA) to a Legendrian submanifold. The DGA of a loose Legendrian submanifold is trivial.

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Tobias Ekholm. 2015-02-16. Non-loose Legendrian spheres with trivial Contact Homology DGA. https://doi.org/10.1112/jtopol%2Fjtw008

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