K-theory and polynomial functors

Akhil Mathew; Clark Barwick; Saul Glasman; Thomas Nikolaus

K-theory and polynomial functors

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arxiv 2102.00936 v2 pith:4PDQDPOJ submitted 2021-02-01 math.KT math.AT

Clark Barwick , Saul Glasman , Akhil Mathew , Thomas Nikolaus This is my paper · ORCID

classification math.KTmath.AT

keywords functorsk-theorypolynomialalgebraiccalculationcanonicallyconsequencefunctorial

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abstract

We show that the algebraic K-theory space of stable infinity-categories is canonically functorial in polynomial functors. As a consequence, we obtain a new proof of B\"okstedt's calculation of $\mathrm{THH}(\mathbb{F}_p)$.

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Chromatic Purity in Hermitian K-Theory at $p=2$
math.KT 2025-01 reject novelty 6.0 of 10

At p=2, L-theory of rings with anti-involution is claimed to have no chromatic redshift and to satisfy a chromatic purity theorem.

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