uu.seUppsala University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Linking number in a projective space as the degree of a map
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2007 (English)In: Journal of knot theory and its ramifications, ISSN 0218-2165, Vol. 16, no 4, 489-497 p.Article in journal (Refereed) Published
Abstract [en]

For any two disjoint oriented circles embedded into the 3-dimensional real projective space, we construct a 3-dimensional configuration space and its map to the projective space such that the linking number of the circles is the half of the degree of the map. Similar interpretations are given for the linking number of cycles in a projective space of arbitrary odd dimension and the self-linking number of a zero homologous knot in the 3-dimensional projective space.

Place, publisher, year, edition, pages
2007. Vol. 16, no 4, 489-497 p.
Keyword [en]
classical link, linking number, degree of a map, configuration space
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-113460DOI: 10.1142/S021821650700535XISI: 000251351800005OAI: oai:DiVA.org:uu-113460DiVA: diva2:290900
Available from: 2010-01-28 Created: 2010-01-28 Last updated: 2017-12-12Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textFulltext
By organisation
Department of Mathematics
In the same journal
Journal of knot theory and its ramifications
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 437 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf