Wolfram Demonstrations Project
7922

The Ranks of the Groups of Links

The group of links in codimension greater than two is the group of isotopy classes of smooth embeddings , where are positive integers. A link is primary, if it becomes trivial after removing any of its components. This application computes the rank of the group of primary links of given dimensions .
  • Contributed by: Mikhail Skopenkov
  • (Institute for Information Transmission Problems of the Russian Academy of Sciences, and King Abdullah University of Science and Technology)

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This application is based on the formula given in [1].
References
[1] D. Crowley, S. C. Ferry, and M. Skopenkov, "The Rational Classification of Links of Codimension > 2." (May 2011) http://www.math.rutgers.edu/~sferry/ps/RCL24-MS.pdf.
[2] A. Haefliger, "Differentiable Links," Topology, 1, 1962 pp. 241–244.
[3] V. Nezhinsky, "Some Computations in Higher Dimensional Link Theory," Siberian Mathematical Journal, 24(4), 1982 pp. 104–115 (in Russian).

PERMANENT CITATION

"The Ranks of the Groups of Links" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/TheRanksOfTheGroupsOfLinks/
Contributed by: Mikhail Skopenkov
(Institute for Information Transmission Problems of the Russian Academy of Sciences, and King Abdullah University of Science and Technology)




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