Theta-curve polynomials and finite-type invariants
Geometric Topology
2007-05-23 v1
Abstract
The normalized Yamada polynomial is a polynomial invariant in variable A for theta-curves. In this work, we show that the coefficients of the power series obtained from this polynomial by the substitution A=e^x=1+x+x^2/2+x^3/6+... are finite-type invariants for theta-curves although the coefficients of original polynomial are not. A similar result can be obtained in the case of Yokota polynomial for theta-curves.
Cite
@article{arxiv.math/0104179,
title = {Theta-curve polynomials and finite-type invariants},
author = {Youngsik Huh and Gyo Taek Jin},
journal= {arXiv preprint arXiv:math/0104179},
year = {2007}
}
Comments
9 pages, 4 figures, Knots 2000 Korea, Yongpyong