Knot contact homology

By T. Ekholm, John B. Etnyre, Lenhard L. Ng, Michael C. Sullivan. 2011

90 citations recorded by the source corpus.

The conormal lift of a link K in ℝ3 is a Legendrian submanifold ΛK in the unit cotangent bundle U∗ℝ3 of ℝ3 with contact structure equal to the kernel of the Liouville form. Knot contact homology, a ...

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8baf0f76fb7568b2c78c4fb68532538ad034cde0

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In Computational Theory and Mathematics

1. Yankı Lekili
2. Vivek V. Shende
3. Eric Zaslow
4. T. Ekholm
5. M. Abouzaid
6. Lenhard L. Ng
7. John B. Etnyre
8. Roger Casals

In Geometry and Topology

1. Yankı Lekili
2. David Treumann
3. Vivek V. Shende
4. Eric Zaslow
5. Harold Williams
6. T. Ekholm
7. M. Abouzaid
8. Lenhard L. Ng

In Mathematical Physics

1. Yankı Lekili
2. David Treumann
3. Vivek V. Shende
4. Eric Zaslow
5. Harold Williams
6. T. Ekholm
7. M. Abouzaid
8. Lenhard L. Ng

Citations in the corpus

• Duality between Lagrangian and Legendrian invariants (2017, background): “Such configurations were considered and the main correspondence was worked out in the setting of knot contact homology in [25].”
• A topological introduction to knot contact homology (2012, unknown): “rom different choices of spin structure on ΛK. A summary of the relations between conventions in different articles is as follows: This article λ→−λ, µ→−µ// µ→−µ−1 ❯❯❯❯** ❯❯❯❯❯❯ ❯❯❯❯❯❯ ❯ [EENS13a] U→1 /[EENS13b]/ [Ng11] U→1 /[Ng08]/ λ→1, µ→1 /[Ng05a, Ng05b]./ We close by noting that our current choice”
• Cluster varieties from Legendrian knots (2015, background): “for example, for = S3 and the conormal torus to a knot in S3, a higher dimensional analogue of [NRSSZ] identies the moduli space M1( ;) with the ( Q= 1) augmentation variety of knot contact homology [EENS]. Note that in any dimension, exact Lagrangian llings continue to give rise to charts on moduli”