1033 matching entries · Page 14 of 21
For a finite pointed CW pair G ⊂ E and based map v:E→Sᵈ whose restriction to G becomes null after passage to complex cobordism, the restriction of a sufficiently large smash power v∧ℓ to the union where any fixed positive fraction of factors lie in G is stably null. The paper also derives a boundary-preserving cube compression theorem from a torus-slot bundle embedding of rank strictly below twice the source rank.
For an ICC group commensurable with a lattice in a finite product of the specified property-(T) algebraic groups over characteristic-zero local fields, any countably infinite ICC comparison group, and arbitrary normalized scalar cocycles at both ends, every bifinite correspondence between their twisted group factors is a closed bimodule summand of a finite sum of models from finite-index subgroup isomorphisms and finite-dimensional projective representations of the matched cocycle ratio. Conversely, every such model, sum, and closed summand is bifinite.
Under Assumption 2.1 for a four-dimensional local, unitary, positive-energy vacuum QFT—with a physical local stress tensor and dilatation current, discrete bounded-below finite-multiplicity scaling spectrum, finite scaling support of each original field, and compatible affiliated fields in a causally commuting bounded local net—the stress tensor admits a physical dimension-two scalar improvement that is symmetric, conserved, and traceless without changing translation or Lorentz charges. Its conformal currents obey unbroken local Ward identities on the physical field algebra.
For each fixed subextremal rotating Kerr bridge (M > 0 and 0 < |a| < M), smooth vacuum data in a sufficiently small weighted tenth-order neighborhood whose full maximal globally hyperbolic development admits a future continuous, nondegenerate Lorentzian extension with locally square-integrable weak connection form a meagre set. Hence inextendible data are residual in the weighted smooth topology.
Planar nearest-neighbor first-passage percolation with iid nonnegative nonatomic edge weights almost surely has no doubly infinite geodesic when the minimum of four independent weights has finite second moment.
For every integer b≥6 and finite-dimensional complex vector space V, there is a GL(V)-equivariant injection Sym⁶(Symᵇ V)→Symᵇ(Sym⁶ V).
A three-dimensional complete Noetherian normal local domain containing ℂ, with residue field ℂ, has no nonzero finitely generated module of depth three.
Under every flat local homomorphism of nonzero Noetherian local rings, Hilbert–Samuel multiplicity of the source does not exceed that of the target.
For every fixed r≥3, every vertex-relabeling-invariant Boolean property of simple r-uniform hypergraphs on n vertices satisfies Var_p(f)≤C_r I_p(f)/(log n)^(r/(r−1)) for all 0<p<1, without requiring monotonicity.
For every fixed r≥4, every K_r-free graph of sufficiently large maximum degree Δ has correspondence chromatic number O_r(Δ/log Δ).
Every graph can be partitioned into a universally bounded number of fixed edge pieces, each with ordinary random-graph containment threshold at most a universal constant times the original graph’s integral expectation threshold.
An ergodic invertible zero-entropy transformation of a standard nonatomic probability space is not measurably conjugate to any C∞ diffeomorphism preserving a strictly positive smooth probability density on a compact finite-dimensional manifold.
The unit-speed billiard flow in every nondegenerate Euclidean triangle with at least one angle irrational relative to π is weakly mixing for normalized Liouville measure on the full phase space.
For every finite weakly reversible mass-action network with fixed positive rates, each positive stoichiometric compatibility class has one compact convex forward-invariant set entered eventually by every positive trajectory in that class, including when the class is unbounded.
For every fixed C>1, approximating Uniform Sparsest Cut within factor C is NP-hard on graphs with nonnegative rational capacities and unit demand between every pair of distinct vertices.
With exact rank-value oracles, the number of common integer bases of two equal-rank polymatroids can be approximated by an FPRAS whose oracle calls and non-oracle bit work are polynomial on every run in ground-set size, binary input length, inverse relative error, and log inverse failure probability.
Every W^{1,p} homeomorphism between nonempty bounded connected open domains in R³, for 1≤p≤2, is a strong W^{1,p} limit of smooth diffeomorphisms onto the same target domain.
At every singular point of the first singular time for the mean-curvature flow of a smooth compact connected embedded surface in R³, the full fixed-center rescaling family converges locally smoothly on compact negative-time intervals to one multiplicity-one homothetic self-shrinker in the original ambient coordinates.
In sufficiently high dimension, a Ricci flow on a closed manifold reaches finite maximal time while scalar curvature remains uniformly bounded and full curvature diverges.
For every m≥2, a closed connected minimally immersed hypersurface of the unit round sphere S^{m+1} with non-totally-geodesic image has volume at least that of the smallest m-dimensional minimal Clifford product.
For every stationary integral m-varifold in an open Euclidean set, in every positive dimension and codimension, the singular set has Hausdorff dimension at most m−1.
For n≥4, every complete connected smooth n-manifold with the quadratic-form lower bound −4Δ+Scal≥1 maps continuously to a simplicial complex of dimension at most n−2 with every fiber’s original-metric diameter bounded only by n.
For every n≥3, a dimension-dependent constant aₙ>0 bounds the integral of the n/2 power of the negative part of scalar curvature below by aₙ times real simplicial volume, for every closed connected oriented smooth n-manifold and metric.
For every sufficiently large prime p, a connective p-complete spectrum of exact fp-type two lies outside the ordinary thick subcategory generated by the specified standard BP⟨2⟩ p-completion, even though its finite and telescopic localization comparisons hold.
For each n≥1 and prime p>n+1, the spectrum Lₙ₋₁L_{K(n)} of the p-completed sphere has an ordered 2ⁿ-stage filtration with the classical chromatic-splitting cofibers, whose first-stage map to the target is the canonical localization unit.
For every prime p, finite p-group G, subgroup H and height n≥0, the optimal chromatic fixed-point loss from H to G equals the shortest subnormal-chain length from H to G with cyclic quotients.
In the standard mod-three Adams Kervaire family, exactly the classes indexed 0, 2 and 3 survive to stable homotopy, in stems 10, 106 and 322, and each surviving detection coset contains an element of additive order three.
For every nonnegative height n, there is some prime p and a finite p-local spectrum whose Brown–Peterson homology is BP∗/(p,v₁,…,vₙ) with its canonical comodule structure and degree-zero generator.
For every positive order delta, the three-dimensional Bochner–Riesz multiplier is bounded on L3(R³). Interpolation and duality yield the conjectured strict Lp boundedness range for all 1 <= p <= infinity.
A smooth Kähler metric in the Fubini–Study class of complex projective ten-space has a maximal Calabi flow with finite existence time and scalar curvature diverging like a positive constant times (T−t)⁻¹ᐟ² at a point.
Every smooth Riemannian metric on the standard sphere Sⁿ, for n≥2, has infinitely many prime closed geodesics with pairwise distinct images.
The real Banach space ℓ₁ has metric Markov cotype two in the Mendel–Naor Cesàro formulation.
There are closed connected aspherical topological four-manifolds with word-hyperbolic common fundamental group that are homotopy equivalent but not homeomorphic.
In every positive degree, the mod-two stable Hurewicz image of the sphere is spanned by the images of η, ν, σ and the Kervaire-invariant-one classes that exist.
For every prime p, height n≥1 and integer degree t, the homotopy group π_t of the K(n)-local p-completed sphere is a finitely generated p-adic-integer module.
For every prime p and height n≥1, the dualizable K(n)-local stable-homotopy category has exactly n+2 thick tensor ideals, forming one strict chain; its Balmer spectrum has n+1 points.
A compact oriented smooth four-manifold contains finitely many immersed disk maps with framed algebraic dual spheres whose embedded boundary circles bound no pairwise disjoint proper locally flat disks, even without prescribed output homotopy classes or framings.
For every maximal abelian subalgebra of a complex von Neumann algebra, every self-adjoint operator is a strong-operator limit of self-adjoint approximants of norm at most three times its norm, each admitting norm paving to relative error ε with at most Cε⁻⁶ projections for a universal C.
A finitely generated torsion-free group has an infinite-order degree-zero K-homology class in the kernel of the coefficient-free reduced Baum–Connes assembly map.
For every n, one quantum oracle circuit generated in polynomial time from n using H, T, T† and CNOT approximates the channel of every n-qubit unitary to full diamond-norm error at most 1/2 after a suitable Boolean oracle is chosen; circuit size, qubits, queries and query length are polynomial in n.
A finite three-electron molecule with two equal positive integer nuclear charges has a normalizable interacting Coulomb ground state whose spin-summed density is not the density of any noninteracting ground-state ensemble for a single real spin-independent local potential in L^(3/2)(R³)+L∞(R³).
For each fixed dimension d and positive rational epsilon, every epsilon-log-canonical Fano contraction of a normal integral variety over an algebraically closed characteristic-zero field admits, near each closed base point, a klt complement whose Cartier index is bounded only by d and epsilon.
For a surjective connected-fiber holomorphic map from a smooth compact connected Fujiki-class-C manifold with rational simple-normal-crossing boundary to a normal compact irreducible complex space, the total log Kodaira dimension is at least the sum of the very general fiber log Kodaira dimension and Campana’s orbifold-base Kodaira dimension, including boundary coefficient one.
For every smooth connected complex algebraic curve, every rank r, and prescribed quasi-unipotent boundary conjugacy classes, including nonsemisimple classes, one finite extension of the number field generated by their eigenvalues makes ambient integral points Zariski dense in the exact-boundary locus of the SL_r character variety and in every irreducible component.
At every fixed point on the critical Ashkin–Teller line, including the four-state Potts endpoint, the height and both current-cluster collections converge jointly in bounded Jordan domains: the height to a Gaussian free field and the clusters to canonical recursive two-valued local sets of that field, including all nesting depths and the wired boundary cluster.
For each fixed edge-change weight x∈[1/√2,1], zero-boundary integer Lipschitz heights on triangular-lattice inside approximations of a bounded C² Jordan domain converge, after division by a positive x-dependent constant, to the zero-Dirichlet Gaussian free field as a random distribution.
The complete loop ensemble of the Temperleyan square-lattice double-dimer model in the upper half-plane converges along the full mesh limit to nested CLE₄, matching every macroscopic loop as an unparametrized curve.
For the balanced-torus plane state of the square-lattice six-vertex model with a=b=1 and 0<c≤2, its unit-jump height field converges modulo constants to a Gaussian free field whose squared multiplier is 1/arcsin(c/2) under the Green-kernel normalization −(2π)^(-1)log|x−y|.
For each fixed 1≤q<4, the critical square-lattice random-cluster Dobrushin interface converges as an ordered curve in uniformly approximated marked bounded Jordan domains to chordal SLE with κ(q)=4π/arccos(−√q/2).
For every fixed degree d≥3, sufficiently weak fixed positive uniform diagonal disorder on a uniformly random simple d-regular graph yields the GOE bulk microscopic eigenvalue point process at each fixed energy separated from the clean spectral edges, after rescaling by the corresponding tree density of states.
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arXiv · algebra-geometry — last successful metadata check: 21/10/2026, 07:20:46 UTC
arXiv · algorithms-formal — last successful metadata check: 21/10/2026, 07:19:48 UTC
arXiv · analysis — last successful metadata check: 21/10/2026, 07:21:51 UTC
arXiv · combinatorics — last successful metadata check: 21/10/2026, 07:18:49 UTC
arXiv · geometry-topology — last successful metadata check: 21/10/2026, 07:22:23 UTC
arXiv · logic-foundations — last successful metadata check: 21/10/2026, 07:23:04 UTC
arXiv · optimization-information — last successful metadata check: 21/10/2026, 07:23:10 UTC
arXiv · probability-dynamics-physics — last successful metadata check: 21/10/2026, 07:22:36 UTC
arXiv · theoretical-physics — last successful metadata check: 21/10/2026, 07:22:50 UTC
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