Topological Quandles and Invariants of Links

Details Topological Quandles and Invariants of Links Topological Quandles and Invariants of Links

2005-08-26

arxiv.org/abs/math/0508536v1

Mathematics

Geometric Topology

18 pages, 8 figures

Scientific paper

We introduce a notion of topological quandle. Given a topological quandle $Q$
we associate to every classical link $L$ in $\R ^3$ 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 colourings of a diagram of the link $L$ with
colours from the quandle $Q$.

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