Rack invariants of links in $L(p,1)$

Eva Horvat

doi:10.1142/s0218216519500706

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arXiv · 1703.00335

Rack invariants of links in $L(p,1)$

Eva Horvat

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Abstract

We describe a presentation for the augmented fundamental rack of a link in the lens space $L(p,1)$. Using this presentation, the (enhanced) counting rack invariants that have been defined for the classical links are applied to the links in $L(p,1)$. In this case, the counting rack invariants also include the information about the action of $\pi_{1}(L(p,1))$ on the augmented fundamental rack of a link.

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Eva Horvat. 2017-03-01. Rack invariants of links in $L(p,1)$. https://doi.org/10.1142/s0218216519500706

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