%0 Journal Article
%T Skein-theoretical derivation of some formulas of Habiro
%A Gregor Masbaum
%J Mathematics
%D 2003
%I arXiv
%R 10.2140/agt.2003.3.537
%X We use skein theory to compute the coefficients of certain power series considered by Habiro in his theory of sl_2 invariants of integral homology 3-spheres. Habiro originally derived these formulas using the quantum group U_q sl_2. As an application, we give a formula for the colored Jones polynomial of twist knots, generalizing formulas of Habiro and Le for the trefoil and the figure eight knot.
%U http://arxiv.org/abs/math/0306345v1