Topological Quandles and Invariants of Links

Abstract

We introduce a notion of topological quandle. Given a topological quandle Q we associate to every classical link L in 3 an invariant JQ(L) which is a topological space (defined up to a homeomorphism). The space JQ(L) can be interpreted as a space of colourings of a diagram of the link L with colours from the quandle Q.

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