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arXiv · 1107.5745

Formal plethories

Tilman Bauer
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Abstract

Unstable operations in a generalized cohomology theory E give rise to a functor from the category of algebras over E to itself which is a colimit of representable functors and a comonoid with respect to composition of such functors. In this paper I set up a framework to study the algebra of such functors, which I call formal plethories, in the case where $E_*$ is a Pr\"ufer ring. I show that the "logarithmic" functors of primitives and indecomposables give linear approximations of formal plethories by bimonoids in the 2-monoidal category of bimodules over a ring.

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Tilman Bauer. 2011-07-28. Formal plethories. https://doi.org/10.1007/s00548-011-0162-4

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