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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.

Rolling Shutter Relative Pose Estimation Made Practical

cs.CV · 2026-06-25 · conditional · novelty 8.0

A linearized solver estimates rolling-shutter relative pose and motion from 7 affine correspondences in 1.2 ms and reports best-in-benchmark accuracy plus usable translational velocity.

Faster enumeration of primes

math.NT · 2026-06-22 · unverdicted · novelty 8.0

New prime enumeration algorithms achieve N (log log N)^{1+o(1)} bit operations in the multitape Turing model, improving prior work by nearly log N via fast polynomial arithmetic over finite fields and error-correcting code ideas.

Optimal embedding dimension in the Nash--Tognoli theorem

math.AG · 2026-05-21 · unverdicted · novelty 8.0

Every smooth compact submanifold of R^n is isotopically approximable by real loci of nonsingular real algebraic subsets of C^n, settling a version of Nash's conjecture with uniformity for codim >=2.

The nearby Lagrangian conjecture for pinwheels

math.SG · 2026-05-21 · unverdicted · novelty 8.0 · 2 refs

Any two Lagrangian (p,q)-pinwheel embeddings in B_{p,q} are Hamiltonian isotopic, with Symp_c(B_{p,q}) generated by the pintwist τ_{p,q}.

SuperDP: Differential Privacy Refutation via Supermartingales

cs.PL · 2026-03-27 · unverdicted · novelty 8.0

SuperDP refutes ε-DP via simultaneous synthesis of input pairs and witness functions using upper expectation supermartingales and lower expectation submartingales, delivering the first fully automated, sound, and semi-complete method applicable to both discrete and continuous stochastic mechanisms.

Dependent Multiplicities in Dependent Linear Type Theory

cs.PL · 2025-07-11 · unverdicted · novelty 8.0

A dependent linear type theory is constructed by embedding linear logic into dependent type theory, yielding multiplicities that depend on variables, supporting W-types, with semantics in indexed Categories with Families and an Agda implementation.

Heterogeneous Dynamic Logic: Provability Modulo Program Theories

cs.LO · 2025-07-11 · conditional · novelty 8.0

HDL defines dynamic theories with lifting and combination operations, proves soundness and relative completeness in Isabelle, and demonstrates the approach on a Java controller steering a differential dynamic logic plant model.

Network Realignment Complexes over General Graphs

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

Network realignment complexes over arbitrary connected graphs admit an equivariant deformation retraction onto a complete graph plus discrete space; for complete graphs, diameter bounds and Aut(X_n) ≅ S_n (n≥5) are established.

Failure of Convex-Hull Bounds under Log-Convex Tails

math.FA · 2026-07-01 · unverdicted · novelty 7.0

No universal constant exists allowing convex-hull bounds with controlled L_log norms for the difference set of arbitrary finite T under symmetric Weibull(r) processes when 0<r<1.

X-ray Coherent Attosecond Pulse Pair Spectroscopy

physics.optics · 2026-07-01 · unverdicted · novelty 7.0

X-CAPPS generates coherent attosecond X-ray pulse pairs from Cu Kα1 stimulated emission pumped by SASE XFEL pulses and measures their time delays, amplitudes, and phases via interference spectra on sequential Bragg spectrometers.

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