Geodesic
A stable range description of the space of link maps
Goodwillie, Thomas G1 ; Munson, Brian A2
1Department of Mathematics, Brown University, Box 1917, Providence RI 02912-0001
2Department of Mathematics, Wellesley College, 106 Central Street, Wellesley MA 02481
Algebraic and Geometric Topology, Tome 10 (2010) no. 3, pp. 1305-1315
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We study the space Link(P,Q;N) of link maps: maps from P ⊔ Q to N such that the images of P and Q are disjoint. We identify the homotopy fiber of the inclusion Link(P,Q;N) → Map(P,N) × Map(Q,N) in a stable range, showing that it has a (2(n−p−q)−3)–connected map to the infinite loopspace of a certain Thom spectrum.

DOI : 10.2140/agt.2010.10.1305
Keywords: link map, linking number

Goodwillie, Thomas G  1   ; Munson, Brian A  2

1 Department of Mathematics, Brown University, Box 1917, Providence RI 02912-0001
2 Department of Mathematics, Wellesley College, 106 Central Street, Wellesley MA 02481 
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Goodwillie, Thomas G; Munson, Brian A. A stable range description of the space of link maps. Algebraic and Geometric Topology, Tome 10 (2010) no. 3, pp. 1305-1315. doi: 10.2140/agt.2010.10.1305

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[5] B A Munson, A manifold calculus approach to link maps and the linking number, Algebr. Geom. Topol. 8 (2008) 2323

[6] M Weiss, Embeddings from the point of view of immersion theory. I, Geom. Topol. 3 (1999) 67

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