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Approximating the coefficients of the HOMFLY polynomial by Vassiliev invariants
by
Laure Helme-Guizon
GWU
Not all knot invariants are Vassiliev invariants. An open question is whether any numerical knot invariant can be approximated by Vassiliev invariants, i.e. whether any numerical knot invariant is a pointwise limit of Vassiliev invariants.
It was proved that this conjecture holds in some special cases. For instance, Y Rong and I. Kofman found approximations by Vassiliev invariants for the coefficients of Jones polynomial.
In this talk, I will generalize this result by finding approximations by Vassiliev invariants for the coefficients of the Homfly polynomial.
Date received: May 16, 2002
Copyright © 2002 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cajk-05.