Suspension theorems for links and link maps

Details Suspension theorems for links and link maps Suspension theorems for links and link maps

2006-10-10

arxiv.org/abs/math/0610320v2

Proceedings of the American Mathematical Society 137 (2009), p. 359--369

Mathematics

Geometric Topology

in English and in Russian, 10 pages, 3 figures; main result improved

Scientific paper

10.1090/S0002-9939-08-09455-0

We present a new short proof of the explicit formula for the group of links (and also link maps) in the 'quadruple point free' dimension. Denote by L(m,p,q) (respectively, C(m-p,p)) the group of smooth embeddings S^p |_| S^q -> S^m (respectively, S^p -> S^m) up to smooth isotopy. Denote by LM(m,p,q) the group of link maps S^p |_| S^q -> S^m up to link homotopy. Theorem 1. If p-1

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