English

The conormal torus is a complete knot invariant

Geometric Topology 2021-02-02 v2 Symplectic Geometry

Abstract

We use microlocal sheaf theory to show that if two knots have Legendrian isotopic conormal tori, then the knots are isotopic or mirror images.

Keywords

Cite

@article{arxiv.1604.03520,
  title  = {The conormal torus is a complete knot invariant},
  author = {Vivek Shende},
  journal= {arXiv preprint arXiv:1604.03520},
  year   = {2021}
}

Comments

10 pages; added details on peripheral subgroup via mu-hom

R2 v1 2026-06-22T13:30:43.009Z