A combinatorial description of homotopy groups of spheres

Details A combinatorial description of homotopy groups of spheres A combinatorial description of homotopy groups of spheres

2011-08-15

arxiv.org/abs/1108.3055v1

Mathematics

Algebraic Topology

27 pages, 1 figure

Scientific paper

We give a combinatorial description of general homotopy groups of
$k$-dimensional spheres with $k\geq3$ as well as those of Moore spaces.
For $n>k\geq 3,$ we construct a finitely generated group defined by explicit
generators and relations, whose center is exactly $\pi_n(S^k)$.

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