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Noncommutative Cartier Formulae

math.AT · 2026-07-06 · conditional · novelty 8.0

A noncommutative Cartier formula for E1-ring spectra is proven and applied to show that p-curvature of the quantum connection computes quantum Steenrod operations for Calabi-Yau symplectic manifolds.

SLayerGen: a Crystal Generative Model for all Space and Layer Groups

cond-mat.mtrl-sci · 2026-05-07 · unverdicted · novelty 8.0

SLayerGen generates crystals invariant to any space or layer group via autoregressive lattice and Wyckoff sampling plus equivariant diffusion, achieving gains over bulk models on diperiodic materials after correcting a prior loss inconsistency for hexagonal groups.

A Probabilistic Sign Rule for Quotients of Positive Series and Integral Transforms

math.CA · 2026-07-02 · unverdicted · novelty 7.0

The paper introduces a probabilistic sign rule for quotients of positive series and integral transforms that reduces monotonicity, log-supermodularity, and log-convexity to kernel sign criteria via moment identities, and applies it to derive new inequalities for hypergeometric, Stieltjes, and Prabha

Approximating Peak Prevalence in Multistage SIR Epidemics

q-bio.PE · 2026-07-01 · unverdicted · novelty 7.0

In multistage SI(k)R models, the relationship between prevalence peak and weighted stage functional maxima varies with scaling of progression rates, converging under Erlang scaling to a delay model that justifies the factor-two approximation with error bounds and corrections.

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