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Every paper Pith has read. Search by title, abstract, or pith.
157 papers in math.AT · page 1
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Topological formula gives ED degree defect for singular varieties
Euclidean distance degree defect of singular projective varieties
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Weil group fails to make number fields K(π,1) spaces
Weil-Moore anima
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Contractible fibers bound interleaving distance for persistence posets
Quillen-McCord theorem for persistence finite posets
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S/4 spectrum admits A5-multiplication
Obstructions for Associativity in Stable Homotopy Theory
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Stable barcodes track how dependency clusters evolve in dynamic Bayesian networks
A Stable Distance Persistence Homology for Dynamic Bayesian Network Clustering
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Topology sets when multi-agent laws can be recovered from trajectories
Multi-Agent System Identification with Nonlinear Sheaf Diffusion
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Equivariant subhomogeneous C* bundles are pullbacks from compact spaces
Obstructed subhomogeneous-bundle extensions and embeddings
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Surgery yields infinitely many operads cobordant but not equivalent to Fulton-MacPherson
Surgery on manifold operads
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Condensed fundamental group of Spec(Z) is non-trivial
On Galois categories and condensed contractible schemes
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Galois groupoid of G-spectra matches Burnside ring groupoid
The Galois theory of $G$-spectra and the Burnside ring
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String cobracket differs on homotopy equivalent lens spaces
Homotopy Non-Invariance of the String Cobracket and the Failure of the Lie Bialgebra Structure
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Complex Hopf fibration classifies FQH bulk-edge effects
Bulk-Edge Correspondence via Higher Gauge Theory
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Containment relations define higher-order persistence diagrams
Higher-order Persistence Diagrams
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Milnor fibers made arbitrarily connected while non-formal
Highly connected non-formal Milnor fibers via polyhedral products
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Quaternionic conjugation spaces are homologically pure
Purity of quaternionic conjugation spaces
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Source embeddings encode global
TopoGeoScore: A Self-Supervised Source-Only Geometric Framework for OOD Checkpoint Selection
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Rationally hyperbolic polyhedral products have no odd-prime homotopy exponents
Homotopy exponents of polyhedral products
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Mucube straight-line flow periodic via SL(2,Z) subgroup
Straight-line trajectories on the Mucube
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Prime ideal spectrum defined for bi-incomplete Tambara functors
Spectra of bi-incomplete Tambara functors
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Set maps induce homomorphisms on graph product kernels
Universal Structure of Graph Product Kernels
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Condensed anima shape recovers classical shape on paracompact and locally contractible
Shape theory for condensed anima
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Learned topology maximizes Fisher information in lensing maps
TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information
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Fiberwise check determines A1-contractibility for smooth morphisms
Relative $\mathbb{A}^1$-Contractibility of Smooth Schemes
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Semisimplicial modules match chain-complex homotopy theories
Combinatorial Models for Linear Homotopy Theories
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Higher-order ML needs native benchmarks
Have Graph -- Will Lift? The Case for Higher-Order Benchmarks
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Bulk-deformed symplectic cohomology computes its complex cobordism lift
Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch
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Geometric fixed points yield algebraic models for rational ultracommutative rings
An algebraic model for rational ultracommutative rings
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Geometric norms model rational ultracommutative rings as span functors
An algebraic model for rational ultracommutative rings
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Explicit resolution built for symplectic Steinberg module
A projective resolution of the symplectic Steinberg module
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Topological models learn combinatorics
No Triangulation Without Representation: Generalization in Topological Deep Learning
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Exactly ten ten-point spaces are weakly contractible but non-contractible
On Weakly Contractible Non-Contractible Finite Topological Spaces of Ten Points
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Exactly ten non-contractible weakly contractible spaces have ten points
On Weakly Contractible Non-Contractible Finite Topological Spaces of Ten Points
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Geometry-aware test bounds simplicial network expressivity
Geometry-Aware Simplicial Message Passing
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Endomorphism inversion stabilizes higher category homotopy
Stable homotopy theory of higher categories
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Cohomology of SL_n congruence subgroups surjects onto building homology
The top cohomology of principal congruence subgroups of special linear groups over Euclidean number rings
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Directed graphs localize to the infinity-category of spaces
The discrete homotopy hypothesis for directed graphs
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Poincaré polynomials derived for split real flag manifolds
Integral Homology and Poincar\'e Polynomials of classical and exceptional Real Flag Manifolds
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Free subgroups of CP^n surgery sets computed in all dimensions
Higher Smooth Surgery Structure Sets of Complex Projective Spaces, Part I
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Subgroup lattices fix transfer-system widths for semidihedral groups
Minimal generating sets of transfer systems for more non-Abelian Groups
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Equal weights and farthest-point sampling fix the landmarks analytically
A Closed-Form Adaptive-Landmark Kernel for Certified Point-Cloud and Graph Classification
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The paper defines a degree filtration on the discrete cubical chains of a graph and…
Quasimonophobic graphs and degree spectral sequences in discrete cubical homology
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Variant large homomorphisms confirm new cases of homotopy Quillen analog
Large homomorphisms on the homotopy lie coalgebra
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Relatively spin Lagrangians determine open-closed DM field theories
Open-closed Deligne-Mumford field theories: construction
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Relative metrics equip special-relativity spacetime with an antimetric
Weighted algebraic topology, II (Real valued metrics)
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Axioms uniquely define bordism categories with geometric structures
Higher categories of bordisms with geometric structures
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Colimit over monoidal envelope computes free O-algebras
Free algebras via monoidal envelopes
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Categorical spectra tensor derives singular cobordism hypothesis
The Algebra of Categorical Spectra
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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