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A polynomial invariant for links in lens spaces

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arxiv 1002.1543 v3 pith:4ARPACGJ submitted 2010-02-08 math.GT

Christopher Cornwell This is my paper · ORCID
classification math.GT
keywords lensinvariantlinkspolynomialskeinspacedevelopdiagrams
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We prove the existence of a polynomial invariant that satisfies the HOMFLY skein relation for links in a lens space. In the process we also develop a skein theory of toroidal grid diagrams in a lens space.

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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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