Geometry & Topology Monographs 8 (2006) 129–144

DOI: 10.2140/gtm.2006.8.129

arXiv: math.SG/0412330

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.

Keywords

holomorphic curves, knots, A–polynomial, string theory

Mathematical Subject Classification

Primary: 57M27

Secondary: 53D40, 81T30

References

Publication

Received: 23 December 2004
Revised: 2 February 2005
Accepted: 24 January 2005
Published: 22 April 2006

Authors