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Topological quandles and invariants of links
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V. (Topologi)
2007 (English)In: Journal of knot theory and its ramifications, ISSN 0218-2165, Vol. 16, no 6, 789-808 p.Article in journal (Refereed) Published
Abstract [en]

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 colorings of a diagram of the link L with colors from the quandle Q.

Place, publisher, year, edition, pages
2007. Vol. 16, no 6, 789-808 p.
Keyword [en]
Topological quandle; invariant spaces of links; spaces of colorings of links AMSC numbers: Primary 57M27, Primary 57M25, Secondary 20F36
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-12634DOI: 10.1142/S0218216507005518ISI: 000251548400009OAI: oai:DiVA.org:uu-12634DiVA: diva2:40403
Available from: 2008-01-08 Created: 2008-01-08 Last updated: 2010-05-18Bibliographically approved

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