9887

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

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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