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The HOMFLY polynomial for links in rational homology 3-spheres

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arxiv q-alg/9509010 v1 pith:KBJP3WPK submitted 1995-09-08 q-alg math.QA

Efstratia Kalfagianni , Xiao-Song Lin This is my paper · ORCID
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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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  1. Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex

    math-ph 2025-01 conditional novelty 6.0 of 10

    First topological-vertex computations of colored unknot and Hopf link invariants in RP^3 yield power series with positive integer q-expansions, conjecturally the Poincare series of a new link homology.

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