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arXiv · 1201.6277

A comparison of norm maps

Anna Marie Bohmann
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Abstract

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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Anna Marie Bohmann. 2012-01-30. A comparison of norm maps. https://doi.org/10.1090/s0002-9939-2014-11845-4

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