On the third homotopy group of Orr’s space

Emmanuel Dror Farjoun; Roman Mikhailov

doi:10.2140/agt.2018.18.569

On the third homotopy group of Orr’s space

Emmanuel Dror Farjoun, Roman Mikhailov

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

K Orr defined a Milnor-type invariant of links that lies in the third homotopy group of a certain space K_ω. The problem of nontriviality of this third homotopy group has been open. We show that it is an infinitely generated group. The question of realization of its elements as links remains open.

Original language	English
Pages (from-to)	569-582
Number of pages	14
Journal	Algebraic and Geometric Topology
Volume	18
Issue number	1
DOIs	https://doi.org/10.2140/agt.2018.18.569
State	Published - 10 Jan 2018

Bibliographical note

Publisher Copyright:
© 2018, Mathematical Sciences Publishers. All rights reserved.

Keywords

Homotopy groups
Link invariants
Orr invariant

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10.2140/agt.2018.18.569

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On the third homotopy group of Orr’s space

Abstract

Bibliographical note

Keywords

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