Geodesic
Skein-theoretical derivation of some formulas of Habiro
Masbaum, Gregor1
1Institut de Mathématiques de Jussieu, UMR 7586 du CNRS, Université Paris 7 (Denis Diderot), Case 7012, 2, place Jussieu, 75251 Paris Cedex 05, France
Algebraic and Geometric Topology, Tome 3 (2003) no. 1, pp. 537-556
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We use skein theory to compute the coefficients of certain power series considered by Habiro in his theory of sl2 invariants of integral homology 3–spheres. Habiro originally derived these formulas using the quantum group Uqsl2. 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.

DOI : 10.2140/agt.2003.3.537
Keywords: colored Jones polynomial, skein theory, twist knots

Masbaum, Gregor  1

1 Institut de Mathématiques de Jussieu, UMR 7586 du CNRS, Université Paris 7 (Denis Diderot), Case 7012, 2, place Jussieu, 75251 Paris Cedex 05, France 
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Masbaum, Gregor. Skein-theoretical derivation of some formulas of Habiro. Algebraic and Geometric Topology, Tome 3 (2003) no. 1, pp. 537-556. doi: 10.2140/agt.2003.3.537

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