Algebraic links in lens spaces

Eva Horvat

doi:10.1142/s0219199720500662

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arXiv · 2002.10417

Algebraic links in lens spaces

Eva Horvat

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Abstract

The lens space $L_{p,q}$ is the orbit space of a $\mathbb{Z}_{p}$-action on the three sphere. We investigate polynomials of two complex variables that are invariant under this action, and thus define links in $L_{p,q}$. We study properties of these links, and their relationship with the classical algebraic links. We prove that all algebraic links in lens spaces are fibered, and obtain results about their Seifert genus. We find some examples of algebraic knots in lens spaces, whose lift in the $3$-sphere is a torus link.

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BibTeX RIS

Eva Horvat. 2020-02-24. Algebraic links in lens spaces. https://doi.org/10.1142/s0219199720500662

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