2012/05/11 by Strickland, Neil · 1 citation
#19A22 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.1205.2516
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.