The conormal torus is a complete knot invariant
arXiv:1604.03520 · doi:10.1017/fmp.2019.1
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.
10 pages; added details on peripheral subgroup via mu-hom
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Cited by in corpus (15)
- Microlocal Morse theory of wrapped Fukaya categories
- A complete knot invariant from contact homology
- Legendrian Weaves: N-graph Calculus, Flag Moduli and Applications
- Calabi-Yau structures on topological Fukaya categories
- Sheaves via augmentations of Legendrian surfaces
- Fiber Floer cohomology and conormal stops
- Wrapped sheaves
- Geometry and analysis of contact instantons and entanglement of Legendrian links I
- Simple Sheaves for Knot Conormals
- Estimating Reeb chords using microlocal sheaf theory
- Perverse Sheaves and Knot Contact Homology
- Lagrangian cobordism functor in microlocal sheaf theory I
- Lagrangian cobordism and shadow distance in Tamarkin category
- Legendrian non-isotopic unit conormal bundles in high dimensions
- Augmentations and sheaves for links