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Homotopy string links and the κ‐invariant

Homotopy string links and the κ‐invariant Koschorke introduced a map from the space of closed n‐component links to the space of maps from the n‐torus to the ordered configuration space of n‐tuples of points in R3. He conjectured that this map separates homotopy links. The purpose of this paper is to construct an analogous map for string links, and to prove (1) this map in fact separates homotopy string links, and (2) Koschorke's original map factors through the map constructed here together with an analog of Markov's closure map defined on the level of certain function spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

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References (35)

Publisher
Wiley
Copyright
© 2017 London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms.12025
Publisher site
See Article on Publisher Site

Abstract

Koschorke introduced a map from the space of closed n‐component links to the space of maps from the n‐torus to the ordered configuration space of n‐tuples of points in R3. He conjectured that this map separates homotopy links. The purpose of this paper is to construct an analogous map for string links, and to prove (1) this map in fact separates homotopy string links, and (2) Koschorke's original map factors through the map constructed here together with an analog of Markov's closure map defined on the level of certain function spaces.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Apr 1, 2017

Keywords: ; ; ; ; ;

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