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

2022/09/27 by Strakoš, Filip · 1 citation
#53D12 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2209.13728

Abstract

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.

Cited by

• On torsion in (bi)linearized Legendrian contact homology in dimension 3

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