糖果派对

Seminar by Adrian Petr (糖果派对, QM)

Abstract:

The Chekanov-Eliashberg algebra is an invariant associated to Legendrians in contact manifolds. It has first been introduced in $R^3$, and then into the general framework of Symplectic Field Theory. In this talk, the speaker will first recall its definition and some known relationships with Fukaya categories. Then he will explain the relation between the Fukaya-Floer algebra of an exact Lagrangian and the Chekanov-Eliashberg algebra of a Legendrian lift in the circular contactization. This will be done using the mapping torus of an $A_{\infty}$-autoequivalence.