Simple Sheaves for Knot Conormals

Abstract

We classify the 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.

arXiv comment27 pages

References in corpus (4)

• Knot and braid invariants from contact homology II, with an appendix written jointly with Siddhartha Gadgil
• A complete knot invariant from contact homology
• The conormal torus is a complete knot invariant
• Knot contact homology and representations of knot groups

Cited by in corpus (1)

• Sheaves via augmentations of Legendrian surfaces