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arxiv: 2302.11702 · v2 · pith:7CJPFV7Inew · submitted 2023-02-22 · 🧮 math.AT · math.KT

Examples of disk algebras

classification 🧮 math.AT math.KT
keywords ringsspectrumactionalgebrasbrown--petersoncircleconsequentlydisk
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We produce refinements of the known multiplicative structures on the Brown--Peterson spectrum $BP$, its truncated variants $BP\langle n \rangle$, Ravenel's spectra $X(n)$, and evenly graded polynomial rings over the sphere spectrum. Consequently, topological Hochschild homology relative to these rings inherits a circle action.

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Cited by 1 Pith paper

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  1. Universal Properties of Variations of the Little Cubes Operads

    math.AT 2024-06 unverdicted novelty 6.0

    Proves universal property for parametrized little cubes operad E_B showing it as colimit of E_n over B, with descent for factorization algebras.