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Geography of bilinearized Legendrian contact homology

Abstract

We study the geography of bilinearized Legendrian contact homology for closed, connected Legendrian submanifolds with vanishing Maslov class in 1-jet spaces. We show that this invariant detects whether the two augmentations used to define it are DGA homotopic or not. We describe a collection of graded vector spaces containing all possible values for bilinearized Legendrian contact homology and then show that all these vector spaces can be realized.

Dates and versions

hal-03842142 , version 1 (07-11-2022)

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Frédéric Bourgeois, Damien Galant. Geography of bilinearized Legendrian contact homology. 2022. ⟨hal-03842142⟩
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