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Geography of
bilinearized Legendrian contact homology
Frédéric Bourgeois and Damien Galant |
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Algebraic & Geometric Topology 24 (2024) 3571–3604
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Abstract |
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We study the geography of bilinearized Legendrian contact homology for closed connected Legendrian submanifolds with vanishing Maslov class in –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. |
Keywords
contact geometry, Legendrian submanifolds, holomorphic
curves
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Mathematical Subject Classification
Primary: 53D42, 57R17
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References |
Publication
Received: 7 August 2020
Revised: 25 August 2022
Accepted: 20 July 2023
Published: 9 December 2024
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Authors |
| Frédéric Bourgeois | |
| Université Paris-Saclay CNRS Laboratoire de Mathématiques d’Orsay 91405 Orsay France |
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| https://www.imo.universite-paris-saclay.fr/~frederic.bourgeois/ | |
| Damien Galant | |
| INSA Hauts-de-France CERAMATHS – Laboratoire de Matériaux Céramiques et de Mathématiques Université Polytechnique Hauts-de-France F-59313 Valenciennes France |
F.R.S.–FNRS Département de Mathématiques Université de Mons Place du Parc, 20 B-7000 Mons Belgium |
| https://damien-gal.github.io/ | |
| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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