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Extracting integer invariants from a power series expansion of the Jones polynomial
by
Vajira Manathunga
University of Tennessee, Knoxville
It is known that appropriate change of variable of Jones polynomial followed by Taylor series expansion gives an infinite power series with coefficients that are Vassiliev invariants. However these Vassiliev invariants are rational valued. We can convert them to integer valued Vassiliev invariants by multiplying it with appropriate constant λk. In this talk we give a formula for minimal λk when k is even and some interesting congruence relationships between these invariants.
Date received: November 3, 2015
Copyright © 2015 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 # cblw-23.