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160 papers in math.AT · page 2
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Incidence algebras compute global dimension of incomplete Mackey functors
Global dimension of the category of rational incomplete Mackey functors for a finite abelian group G
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Closed-form pipeline classifies point clouds and graphs with label-only guarantees
A Closed-Form Persistence-Landmark Pipeline for Certified Point-Cloud and Graph Classification
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Survey organizes finite group actions on homotopy spheres
Equivariant CW-complexes homotopy equivalent to spheres: a survey
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Gorenstein injective cotorsion pairs complete iff Tate trivial generators exist
Accessibility and Gorenstein injective envelopes
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The paper introduces a systematic construction of set-theoretic operads by iterating the…
Power set operads
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n-fold cup-product Bocksteins create integral Hodge counterexamples
From Diaz's Enriques Product to an $n$-Fold Cup-Product Bockstein Family of Integral Hodge Counterexamples
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Effective epi topology equals canonical on (n,1)-topoi
Geometric Categories and Sheaves on Topoi
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Gysin pullbacks rigidify into strict simplicial functors
Homotopy coherent Gysin functoriality
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Weights pair at fixed points of circle actions on oriented manifolds
Weights of circle actions on oriented manifolds with isolated fixed points
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n-step matrix factorizations match root stack singularity categories
An Orlov theorem for matrix factorizations with multiple factors
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Graph choice and distance metric shape persistent-homology features for time series
Persistent Homology of Time Series through Complex Networks
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The paper proves that moment-angle manifolds built from neighbourly triangulations of…
Moment-angle manifolds associated to neighbourly triangulations of spheres
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Zero slice of quaternionic real bordism computed
The Zero Slice of Quaternionic Real Bordism
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TopoNTK detects topology that graph kernels miss
Topological Neural Tangent Kernel
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Criterion decides when As∘Var is nonsymmetric
Nonsymmetric versions of binary quadratic operads
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Stable categories reconstruct from hearts via two-step completion
Unbounded Weight Structures: (Re)construction and Completion
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Hypercube VR complexes yield counterexamples to Shukla conjecture
Cohomological properties of the Vietoris--Rips Complex of a Hypercube Graph
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Geodesic subspace posets realize as wedges of spheres
Scissors automorphism groups II: Solomon-Tits theorems
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Torsion in singularities is codimension-two only
Torsion Trajectories from Local Discriminants to Global Obstructions
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Twisted orientation maps free phases into the interacting Bott spiral
Unraveling the Bott spiral
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Singular simplices retract to transverse versions for countable families
The transverse singular complex
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Nontrivial classes exist for S^n x S^n bundles in high degrees
Rational characteristic classes of bundles with fibre a product of spheres
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4D toric orbifolds limited to two homotopy types per proper isomorphism class
On the homotopy types of $4$-dimensional toric orbifolds
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Conditions turn some h-cobordisms into s-cobordisms for smooth 4-manifolds
Some remarks on $h$-cobordisms between smooth 4-manifolds
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K-framings extend spin structures to any commutative ring K
$\mathbb{K}$-framings and $\mathbb{K}$-quadratic forms on surfaces
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CP^4 has one tangential smooth manifold
Diffeomorphism Classification of Smooth Structures and Tangential Homotopy Types of $\mathbb{C}P^m$ for $5 \le m \le 8$
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Groups with infinite dimension have unbounded complexity sequences
Topological complexity sequences of groups
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Infinite cohomological dimension yields unbounded complexity sequences
Topological complexity sequences of groups
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Random walks normalize Hodge Laplacians on simplicial complexes
Root-to-Leaf Path Random Walks, Normalized Hodge Laplacians, and Cheeger Inequalities on Simplicial Complexes
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Stiefel-Whitney classes vanish for almost all large GL_n orthogonal reps
Asymptotic Vanishing of Stiefel--Whitney Classes for $\mathrm{GL}_n(\mathbb{F}_q)$
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Normed algebras reduce to subgroup collections in rational G-spectra
A model for normed algebras in rational G-spectra
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Aligning homology edges improves semi-supervised vision-language learning
Topology-Aware Representation Alignment for Semi-Supervised Vision-Language Learning
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Pentagon equation equivalent to double shuffle relations
Multiplicative convolution and double shuffle relations
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Pentagon equation on paths equals double shuffle relations
Multiplicative convolution and double shuffle relations
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Loop homology of polyhedral products decomposes as colimit
A colimit decomposition for the loop homology of polyhedral products
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KR-theory yields immersions of C2-projective spaces
Immersions of $C_2$-projective spaces via $K\mathbb{R}$-theory
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Sp(2) rational spectra match differential graded objects over A(Sp(2))
Rational Sp(2)-equivariant cohomology theories I: dominant subgroups
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Koszul modules compute infinitesimal Alexander invariants
Koszul modules, holonomy Lie algebras, and resonance of groups and CDGAs
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P1-unstable theory yields Gysin maps for motivic spectra
The $\mathbf{P}^1$-motivic Gysin map
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Every AQFT has a prefactorization algebra of its superselection sectors
Prefactorization algebras of superselection sectors
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Torelli group second rational cohomology now calculable
Calculating the second rational cohomology group of the Torelli group
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Topological MRI analysis separates Alzheimer's from healthy brains at 0.895 AUC
Homology-based Morphometry of Brain Atrophy: Methods and Applications
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A∞-algebras model rational fiberwise THH transfer
A rational model for the fiberwise THH transfer II: $A_\infty$-algebras
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Presheaf model links sheaf obstructions to CNN and GNN limits
A Functorial Formulation of Neighborhood Aggregating Deep Learning
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One stable factor makes product complexes gyration stable
Gyration Stability for Products
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Cohomology nilpotency computes rational sectional category for formal maps
Rational relative sectional category
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Finite invariants classify diffeomorphism types of 3D Mori spaces
Diffeomorphism types of simply connected $3$-dimensional Mori fibre spaces
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U(1) topological elliptic genus lifts surjectively onto connective Jacobi forms
The U(1)-topological elliptic genus is surjective
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Charge quantization rules out noncompact gauge groups
Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory
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Diagrams of Eilenberg-MacLane spaces are formal over Q
On formality of diagrams of Eilenberg-MacLane spaces