Geography of bilinearized Legendrian contact homology - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Geography of bilinearized Legendrian contact homology

Résumé

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 et versions

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

Identifiants

Citer

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

Altmetric

Partager

Gmail Facebook X LinkedIn More