3 problems

Let $(\mathcal{A},\partial)$ be the Chekanov–Eliashberg algebra of a Legendrian, let $(\mathcal{L},d)$ be its LSFT algebra, and let $\epsilon:\mathcal{A}\to\Bbbk$ be an augmentatio…

Let $\Lambda$ be a Legendrian knot, let $m\geq 0$, and let $\mathcal{A}ug_+(\Lambda,\mathbb{F}_q)$ denote its augmentation category. For an augmentation $\epsilon$, write…

Let $\epsilon:\thinspace \mathcal{A}(\Lambda) \to \mathbb{F}_q$ be a $2m$-graded augmentation of a Legendrian link $\Lambda$ with $\ell$ components, where $m\geq 0$. Write…