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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.

On rank two Kleinian groups with three parabolics

math.GR · 2026-07-08 · accept · novelty 7.0

Rank-2 Kleinian groups with three parabolics are maximal cusps when the domain of discontinuity is nonempty, but new finite-covolume lattice examples exist that do not arise from tunnel-number-1 links.

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

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