The HOMFLY polynomial for links in rational homology 3-spheres

Mathematics – Quantum Algebra

Scientific paper

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Scientific paper

We construct a polynomial invariant, for links in a Seifert fibered or
atoroidal rational homology 3-sphere, which generalizes the 2-variable Jones
polynomial (HOMFLY). As a consequence, we show that the dual of the HOMFLY
skein module of a homotopy 3-sphere is isomorpic to that of the genuine
3-sphere .

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