Framed knot contact homology
Journal Article (Journal Article)
We extend knot contact homology to a theory over the ring ℤ[λ±1, μ±1] with the invariant given topologically and combinatorially. The improved invariant, which is defined for framed knots in S3 and can be generalized to knots in arbitrary manifolds, distinguishes the unknot and can distinguish mutants. It contains the Alexander polynomial and naturally produces a two-variable polynomial knot invariant that is related to the A-polynomial.
Full Text
Duke Authors
Cited Authors
- Ng, L
Published Date
- February 1, 2008
Published In
Volume / Issue
- 141 / 2
Start / End Page
- 365 - 406
International Standard Serial Number (ISSN)
- 0012-7094
Digital Object Identifier (DOI)
- 10.1215/S0012-7094-08-14125-0
Citation Source
- Scopus