Geodesic
Geography of bilinearized Legendrian contact homology
Bourgeois, Frédéric1 ; Galant, Damien2
1 Université Paris-Saclay, CNRS, Laboratoire de Mathématiques d’Orsay, 91405 Orsay, France
2 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
Algebraic and Geometric Topology, Tome 24 (2024) no. 7, pp. 3571-3604

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2024.24.3571
Keywords: contact geometry, Legendrian submanifolds, holomorphic curves

Bourgeois, Frédéric 1 ; Galant, Damien 2

1 Université Paris-Saclay, CNRS, Laboratoire de Mathématiques d’Orsay, 91405 Orsay, France
2 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 
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     title = {Geography of bilinearized {Legendrian} contact homology},
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Bourgeois, Frédéric; Galant, Damien. Geography of bilinearized Legendrian contact homology. Algebraic and Geometric Topology, Tome 24 (2024) no. 7, pp. 3571-3604. doi: 10.2140/agt.2024.24.3571

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