A stable range description of the space of link maps

Abstract

We study the space of link maps, which are smooth maps from the disjoint union of manifolds P and Q to a manifold N such that the images of P and Q are disjoint. We give a range of dimensions, interpreted as the connectivity of a certain map, in which the cobordism class of the "linking manifold" is enough to distinguish the homotopy class of one link map from another.

10 pages

References in corpus (2)

• Homotopical Intersection Theory, I
• A Manifold Calculus Approach to Link Maps and the Linking Number

Cited by in corpus (2)

• Low stages of the Taylor tower for r-immersions
• Homotopical Intersection Theory, III: multi-relative intersection problems