Knot and braid invariants from contact homology II


Journal Article

We present a topological interpretation of knot and braid contact homology in degree zero, in terms of cords and skein relations. This interpretation allows us to extend the knot invariant to embedded graphs and higher-dimensional knots. We calculate the knot invariant for two-bridge knots and relate it to double branched covers for general knots. In the appendix we show that the cord ring is determined by the fundamental group and peripheral structure of a knot and give applications. © Geometry & Topology Publications.

Duke Authors

Cited Authors

  • Lenhard, NG; Gadgil, S

Published Date

  • August 26, 2005

Published In

Volume / Issue

  • 9 /

International Standard Serial Number (ISSN)

  • 1465-3060

Citation Source

  • Scopus