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arXiv · 1905.12037

Geography of bilinearized Legendrian contact homology

Frédéric Bourgeois·Damien Galant
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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.

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Frédéric Bourgeois, Damien Galant. 2019-05-28. Geography of bilinearized Legendrian contact homology. https://doi.org/10.2140/agt.2024.24.3571

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