Framed knot contact homology
Ng, Lenhard
Duke Math. J., Tome 141 (2008) no. 1, p. 365-406 / Harvested from Project Euclid
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We extend knot contact homology to a theory over the ring $\mathbb{Z}[\lambda^{\pm 1},\mu^{\pm 1}]$ with the invariant given topologically and combinatorially. The improved invariant, which is defined for framed knots in $S^3$ 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
Publié le : 2008-02-01
Classification:  57M27,  53D12,  53D40 
@article{1200601795,
     author = {Ng, Lenhard},
     title = {Framed knot contact homology},
     journal = {Duke Math. J.},
     volume = {141},
     number = {1},
     year = {2008},
     pages = { 365-406},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1200601795}
}

Ng, Lenhard. Framed knot contact homology. Duke Math. J., Tome 141 (2008) no. 1, pp.  365-406. http://gdmltest.u-ga.fr/item/1200601795/