Structured Real Snaith equivalences hold as EC2∞- and Eρ-algebra maps, enabling THR computations for KUR and MUPR via a norm-inverted variant.
Burklund
5 Pith papers cite this work. Polarity classification is still indexing.
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.
representative citing papers
Segal conjecture fails for truncated polynomial algebras over higher chromatic local fields, causing Lichtenbaum-Quillen property to fail while weak redshift conjecture holds.
Authors construct ring involution structures on quotients of Real bordism, orient Lubin-Tate theory via truncated Brown-Peterson spectra, and characterize equivalences after chromatic localization.
citing papers explorer
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Structured Real Snaith Equivalences
Structured Real Snaith equivalences hold as EC2∞- and Eρ-algebra maps, enabling THR computations for KUR and MUPR via a norm-inverted variant.
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Algebraic K-theory of finite algebras over higher local fields
Segal conjecture fails for truncated polynomial algebras over higher chromatic local fields, causing Lichtenbaum-Quillen property to fail while weak redshift conjecture holds.
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Structured Quotients in Real Homotopy Theory
Authors construct ring involution structures on quotients of Real bordism, orient Lubin-Tate theory via truncated Brown-Peterson spectra, and characterize equivalences after chromatic localization.
- Higher Semiadditive Character Theory
- The Lichtenbaum-Quillen dimension of complex varieties