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Adem-Cartan operads

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abstract

In this paper, we introduce Adem-Cartan operads and prove that the cohomology of any algebra over such an operad is an unstable level algebra over the extended Steenrod algebra. Moreover we prove that this cohomology is endowed with secondary cohomological operations.

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math.NT 1

years

2026 1

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UNVERDICTED 1

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Arithmetic Wu Formulas and the Generalized Hecke Theorem

math.NT · 2026-06-04 · unverdicted · novelty 7.0

Proves absolute Wu formula for regular projective flat schemes over finite fields or S-integers away from 2, producing generalized Hecke theorem with mod-2 Chern class congruences via arithmetic 2-Todd series.

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  • Arithmetic Wu Formulas and the Generalized Hecke Theorem math.NT · 2026-06-04 · unverdicted · none · ref 7 · internal anchor

    Proves absolute Wu formula for regular projective flat schemes over finite fields or S-integers away from 2, producing generalized Hecke theorem with mod-2 Chern class congruences via arithmetic 2-Todd series.