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arXiv · 1205.2516

Tambara functors

Neil Strickland
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Abstract

We survey and extend the theory of Tambara functors. These are algebraic structures similar to Mackey functors, but with multiplicative norm maps as well as additive transfer maps, and a rule governing their interaction that is most easily formulated in an abstract categorical framework. Examples include Burnside rings, representation rings, and homotopy groups of equivariant E-infinity ring spectra in stable homotopy theory. Some other examples are related to Witt rings in the sense of Dress and Siebeneicher.

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Neil Strickland. 2012-05-11. Tambara functors. https://arxiv.org/abs/1205.2516

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