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TOPOLOGICAL QUANDLES AND INVARIANTS OF LINKS

RYSZARD L. RUBINSZTEIN

Department of Mathematics, Uppsala University, Box 480, Se-751 06 Uppsala, Sweden

https://doi.org/10.1142/S0218216507005518Cited by:17 (Source: Crossref)

Abstract

We introduce a notion of topological quandle. Given a topological quandle Q we associate to every classical link L in ℝ³ an invariant J_Q(L) which is a topological space (defined up to a homeomorphism). The space J_Q(L) can be interpreted as a space of colorings of a diagram of the link L with colors from the quandle Q.

Keywords:

AMSC: Primary 57M27, Primary 57M25, Secondary 20F36

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