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Multiplicative structures on Moore spectra

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arxiv 2203.14787 v2 pith:VXSKYIHO submitted 2022-03-28 math.AT

Robert Burklund This is my paper · ORCID
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abstract

In this article we show that $\mathbb{S}/8$ is an $\mathbb{E}_1$-algebra, $\mathbb{S}/32$ is an $\mathbb{E}_2$-algebra, $\mathbb{S}/p^{n+1}$ is an $\mathbb{E}_n$-algebra at odd primes and, more generally, for every $h$ and $n$ there exist generalized Moore spectra of type $h$ which admit an $\mathbb{E}_n$-algebra structure.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On higher real $K$-theories and finite spectra

    math.KT 2025-07 conditional novelty 8.0 of 10

    At the prime 2, the connective higher real K-theories eo_h are shown to be fp spectra of type h, which implies a divisibility constraint on Euler characteristics and a new obstruction to generalized Moore spectra.

  2. Higher Semiadditive Character Theory

    math.AT 2026-07 accept novelty 7.0 of 10

    Every ∞-commutative monoid has a universal (n−t)-fold semiadditive character that blue-shifts height, recovers the transchromatic character on Morava E-theory, and computes L_Q(S^A_{K(n)}) via GL_{n−t}(Z_p)-fixed points.

  3. An obstruction to lifting schemes to spectral schemes

    math.AG 2026-07 accept novelty 6.5 of 10

    A scheme over Z lifts to a spectral scheme over S only if it carries a compatible ˆδ-structure; this obstruction is functorial and kills lifts of rings of integers, Ga, GLn and many closed subschemes of Pn.

  4. Periodic phenomena in stable motivic homotopy theory

    math.AT 2026-07 unverdicted novelty 2.0 of 10

    A survey of periodic phenomena in stable motivic homotopy theory, organizing known motivic Adams spectral sequence computations and open problems; no new theorem is proven.

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