Theta-curve polynomials and finite-type invariants

Details Theta-curve polynomials and finite-type invariants Theta-curve polynomials and finite-type invariants

2001-04-18

arxiv.org/abs/math/0104179v1

Mathematics

Geometric Topology

9 pages, 4 figures, Knots 2000 Korea, Yongpyong

Scientific paper

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.

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