Topological Quandles and Invariants of Links

By R. Rubinsztein. 2005

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We introduce a notion of topological quandle. Given a topological quandle Q we associate to every classical link L in ℝ3 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 colorings of a diagram of the link L with colors from the quandle Q.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5ae4285da3ba0014d980f333c250e6a42db19d1f