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Total curvatures of holonomic links
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V.
2000 (English)In: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, ISSN 0218-2165, Vol. 9, no 7, 893-906 p.Article in journal (Refereed) Published
Abstract [en]

A differential geometric characterization of the braid-index of a link is found. After multiplication by 2 pi, it equals the infimum of the sum of total curvature and total absolute torsion over holonomic representatives of the link.

Place, publisher, year, edition, pages
2000. Vol. 9, no 7, 893-906 p.
Keyword [en]
curvature; torsion; holonomic links; braid-index; bridge-index
Identifiers
URN: urn:nbn:se:uu:diva-36583OAI: oai:DiVA.org:uu-36583DiVA: diva2:64482
Note
Addresses: Ekholm T, Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden. Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden.Available from: 2007-01-24 Created: 2007-01-24 Last updated: 2012-06-23

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Ekholm, Tobias

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