On the existence of the self map v_2^9 on the Smith-Toda complex V(1) at the prime 3

Details On the existence of the self map v_2^9 on the Smith-Toda complex V(1) at the prime 3 On the existence of the self map v_2^9 on the Smith-Toda complex V(1) at the prime 3

2003-03-18

arxiv.org/abs/math/0303223v1

Mathematics

Algebraic Topology

41 pages, 6 figures, submitted to proceedings of the Northwestern University conference on algebraic topology, March 2002

Scientific paper

Let V(1) be the Smith-Toda complex at the prime 3. We prove that there exists
a map v_2^9: \Sigma^{144}V(1) \to V(1) that is a K(2) equivalence. This map is
used to construct various v_2-periodic infinite families in the 3-primary
stable homotopy groups of spheres.

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