Conormal bundles, contact homology and knot invariants

Abstract

We summarize recent work on a combinatorial knot invariant called knot contact homology. We also discuss the origins of this invariant in symplectic topology, via holomorphic curves and a conormal bundle naturally associated to the knot.

arXiv commentThis is the version published by Geometry & Topology Monographs on 22 April 2006

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Cited by in corpus (7)

• Super-A-polynomial for knots and BPS states
• Large N Duality, Mirror Symmetry, and a Q-deformed A-polynomial for Knots
• Knot contact homology
• Introduction to the Gopakumar-Vafa Large N Duality
• A topological introduction to knot contact homology
• Frame ambiguity in Open Gromov-Witten invariants
• Plane curves and contact geometry