Geodesic
On the third homotopy group of Orr’s space
Dror Farjoun, Emmanuel1 ; Mikhailov, Roman2
1 Department of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel
2 Chebyshev Laboratory, Saint Petersburg State University, Saint Petersburg, Russia, Saint Petersburg Department of Steklov Mathematical Institute, Saint Petersburg, Russia, School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India
Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 569-582

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

K Orr defined a Milnor-type invariant of links that lies in the third homotopy group of a certain space Kω . 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.

DOI : 10.2140/agt.2018.18.569
Classification : 55Q52, 57M25
Keywords: link invariants, homotopy groups, Orr invariant

Dror Farjoun, Emmanuel 1 ; Mikhailov, Roman 2

1 Department of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel
2 Chebyshev Laboratory, Saint Petersburg State University, Saint Petersburg, Russia, Saint Petersburg Department of Steklov Mathematical Institute, Saint Petersburg, Russia, School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India 
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Dror Farjoun, Emmanuel; Mikhailov, Roman. On the third homotopy group of Orr’s space. Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 569-582. doi: 10.2140/agt.2018.18.569

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