Framed and oriented links of codimension 2

Details Framed and oriented links of codimension 2 Framed and oriented links of codimension 2

2002-05-28

arxiv.org/abs/math/0205300v3

Mathematics

Geometric Topology

5 figures; revised on 6 June

Scientific paper

We discuss the relationship between the m-th homotopy group of the one-point union of r copies of the two-dimensional sphere and the m-th homotopy group of the one-point union of r+1 copies of the Thom space of the oriented two-dimensional universal vector bundle. Using a suitably choosen isomorphism between them a forgetful homomorphism is computed by evaluating on factors of the Hilton splitting.

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