Journal of Symplectic Geometry

Volume 18 (2020)

Number 4

Simple sheaves for knot conormals

Pages: 1027 – 1070



Honghao Gao (Department of Mathematics, Michigan State University, East Lansing, Mi., U.S.A.)


We classify simple sheaves microsupported along the conormal bundle of a knot. We also establish a correspondence between simple sheaves up to local systems and augmentations, explaining the underlying reason why knot contact homology representations detect augmentations.

Received 8 July 2018

Accepted 19 March 2019

Published 28 October 2020