Every augmentation lifts to a curved augmentation
Let (A,∂)(\mathcal{A},\partial)(A,∂) be the Chekanov–Eliashberg algebra of a Legendrian, let (L,d)(\mathcal{L},d)(L,d) be its LSFT algebra, and let ϵ:A→k\epsilon:\mathcal{A}\to\Bbbkϵ:A→k be an augmentatio…