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On Knots and DNA
Linköping University, Department of Mathematics. Linköping University, Faculty of Science & Engineering.
2017 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
Abstract [en]

Knot theory is the mathematical study of knots. In this thesis we study knots and one of its applications in DNA. Knot theory sits in the mathematical field of topology and naturally this is where the work begins. Topological concepts such as topological spaces, homeomorphisms, and homology are considered. Thereafter knot theory, and in particular, knot theoretical invariants are examined, aiming to provide insights into why it is difficult to answer the question "How can we tell knots appart?". In knot theory invariants such as the bracket polynomial, the Jones polynomial and tricolorability are considered as well as other helpful results like Seifert surfaces. Lastly knot theory is applied to DNA, where it will shed light on how certain enzymes interact with the genome.

Place, publisher, year, edition, pages
2017. , p. 58
Keywords [en]
Knot theory, Topology, Homology, Jones polynomial, Bracket polynomial, Tangles, DNA
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-144294ISRN: LiTH-MAT-EX--2017/17--SEOAI: oai:DiVA.org:liu-144294DiVA, id: diva2:1185932
Subject / course
Mathematics
Supervisors
Examiners
Available from: 2018-04-04 Created: 2018-02-26 Last updated: 2018-04-04Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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