Directory of Research Oriented Resources

Home > Science > Math > Topology > Knot Theory > Research Oriented

Advanced aspects of knot theory [technical papers, etc].

Resources in This Category

• A Dynamic Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links

  http://burtleburtle.net/bob/knot/thesis.html
  A research paper describing an algorithm for calculating the HOMFLY polynomial of directed knots and links. The algorithm has a better time bound for large links than algorithns that ignore duplicates. Source code is on the site.

• Knot Theory and Quantum Gravity

  http://www.phys.lsu.edu/faculty/pullin
  Quantizing general relativity brings knot theory into quantum gravity. The Jones polynomial is shown to give rise to physical states of quantum gravity. Links to research papers by the author.

• Liverpool University Knot Theory Group

  https://www.liverpool.ac.uk/~su14/knotprints.html
  Articles and preprints from 1987 onward. Some are available for download in postscript format.

• Mark Brittenham's Papers and Preprints

  http://www.math.unl.edu/~mbritten/personal/pprdescr.html
  Research papers on three manifolds, foliations, surgery on knots.

• Papers on Knot Theory at arxiv.org.

  http://arxiv.org/find/math/1/fr:+knot/0/1/0/past,all/0/1
  Search for papers held at LANL with the word 'knot' in them.

 

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