A note on geography of bilinearized Legendrian contact homology for disconnected Legendrian submanifolds

Autor: Strakoš, Filip
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: In this short note, we provide a criterion for DGA-homotopy of augmentations of Chekanov-Eliashberg algebra of disconnected Legendrian submanifolds. We apply the criterion to obtain the extension of geography results of Bourgeois and Galant concerning bilinearized Legendrian contact homology to the case of disconnected Legendrian submanifolds.
Comment: 13 pages, 7 figures, corrected definition of lbLCH-admissible polynomial, correction of proofs in Section 4
Databáze: arXiv