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A polynomial invariant for links in lens spaces

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abstract

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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Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex

math-ph · 2025-01-22 · conditional · novelty 6.0

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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  • Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex math-ph · 2025-01-22 · conditional · none · ref 8 · internal anchor

    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.