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

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.

References in corpus (2)

• On the Seifert fibered space link group
• N-Degeneracy in rack homology and link invariants

Cited by in corpus (1)

• Knot quandle decomposition along a torus