A comparison of norm maps

Details A comparison of norm maps A comparison of norm maps

2012-01-30

arxiv.org/abs/1201.6277v1

Mathematics

Algebraic Topology

11 pages; with appendix by Anna Marie Bohmann and Emily Riehl

Scientific paper

We present a spectrum-level version of the norm map in equivariant homotopy theory based on the algebraic construction in work of Greenleess-May. We show that this new norm map is same as the construction in work Hill-Hopkins-Ravenel on the Kervaire invariant problem. Our comparison of the two norm maps gives a conceptual understanding of the choices inherent in the definition of the multiplicative norm map.

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