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Finite-type invariants of classical and virtual knots
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics.
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics.
2000 (English)In: TOPOLOGY, ISSN 0040-9383, Vol. 39, no 5, 1045-1068 p.Article in journal (Refereed) Published
Abstract [en]

We observe that any knot invariant extends to virtual knots. The isotopy classification problem for virtual knots is reduced to an algebraic problem formulated in terms of an algebra of arrow diagrams. We introduce a new notion of finite type invariant an

Place, publisher, year, edition, pages
2000. Vol. 39, no 5, 1045-1068 p.
Keyword [en]
virtual knots; finite type invariants; Gauss diagrams
Identifiers
URN: urn:nbn:se:uu:diva-36587OAI: oai:DiVA.org:uu-36587DiVA: diva2:64486
Note
Addresses: Polyak M, Tel Aviv Univ, Sch Math, IL-69978 Tel Aviv, Israel. Tel Aviv Univ, Sch Math, IL-69978 Tel Aviv, Israel. POMI, St Petersburg 191011, Russia. Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden.Available from: 2007-05-02 Created: 2007-05-02 Last updated: 2011-01-14

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