Symplectic invariants of the conormal bundle of a knot are knot invariants. We study the relation of two such invariants: the augmentations of the Chekanov-Eliashberg dga, and the microlocal category of simple sheaves. In this talk, I will explain a bijective correspondence between the these invariants, whose underlining geometry is suggested by the Nadler-Zaslow correspondence in mirror symmetry.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/4234
[3] https://www.mpim-bonn.mpg.de/node/3207