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563 papers in math.AT · page 1

  1. math.PR 2026-07-02 reviewed
    Formula equates Wilson loop correlations to topology in cluster model

    A Topological Formula for Potts Lattice Gauge Theory Correlations

    Paul Duncan +1

  2. math.CT 2026-07-02 reviewed
    Directed univalence holds for simplicial objects in any ∞-topos

    Directed univalence for simplicial objects in an $\infty$-topos

    Evan Cavallo +2

  3. math.AT 2026-07-02 reviewed
    Twisted algebras over real spectra realized as Thom spectra

    Equivariant twisted $R$-algebras via Thom spectra

    Samik Basu +1

  4. math.AT 2026-07-02 reviewed
    Single polynomial detects T^k-manifold equivariant bordism

    Reduced characteristic number criteria for equivariant bordism of $T^k$- and $(\mathbb{Z}_2)^k$-manifolds with isolated fixed points

    Runze Chen +2

  5. math.AG 2026-07-02 reviewed
    Gm tensor with mod-2 motivic cohomology is free on (2,1) generator

    Motivic Hochschild homology of mod 2 motivic cohomology over algebraically closed fields

    Tom Bachmann +3

  6. math.GT 2026-07-02 reviewed
    Augmented racks constructed for reflection group braid spaces

    Fundamental racks of braid spaces of complex reflection groups

    Tathagata Basak

  7. math.SG 2026-07-02 reviewed
    Kuranishi chart categories satisfy higher cocycle conditions automatically

    Kuranishi chart categories and higher cocycle conditions

    Taesu Kim

  8. math.AT 2026-07-01 reviewed
    Unit sheaf endomorphisms recover the E∞-Thom spectrum

    A homotopy coherent Pontryagin-Thom isomorphism

    Kenneth Blakey +1

  9. math.SG 2026-07-01 reviewed
    L∞-Kuranishi spaces form category embedding smooth manifolds

    Categorical structures of Kuranishi spaces with $L_{\infty}[1]$-algebras

    Taesu Kim

  10. math.GR 2026-07-01 reviewed
    Pro-2 Demushkin groups have A3-formal cochain algebras

    $A_3$-formality for pro-2 Demushkin groups

    Ambrus P\'al +1

  11. math.AT 2026-07-01 reviewed
    Lie group actions build universal covers from discrete extensions

    Polar Coordinates and Fundamental Group

    Jules Chenal

  12. math.AT 2026-06-30 reviewed
    Six functors prove ANR homology manifolds are cohomologically smooth

    Homology manifolds via six functor formalisms

    Markus Land +1

  13. math.AT 2026-06-30 reviewed
    Tate varieties yield algebraic models for tame configuration space homotopy

    On the l-adic homotopy type of configuration spaces

    Joana Cirici +1

  14. math.AT 2026-06-30 reviewed
    Manifolds with vanishing L2-Betti numbers avoid virtual circle fibering

    Some closed manifolds that do not fibre over the circle

    Sam Hughes +2

  15. math.AT 2026-06-29 reviewed
    Component dynamics graphs extract H0 H1 barcodes for video

    From Frames to Features: Scalable Zigzag Persistence for Binary Video

    David Lanners

  16. math.AT 2026-06-29 reviewed
    Algebraic C_+ computes continuous homology of TP(MU)

    Continuous homology of topological periodic homology of complex cobordism

    Sverre Lun{\o}e-Nielsen +1

  17. math.AT 2026-06-29 reviewed
    Explicit chain map equates equivariant cohomologies of slices and orbits

    Equivariant cohomology of slice groupoids

    Zhenxi Huang

  18. math.GT 2026-06-29 reviewed
    Instanton TQFT becomes functor between infinity-categories

    An infinity-categorical TQFT from instantons

    Fan Ye

  19. cs.LG 2026-06-29 reviewed
    Topological vectorizations sometimes boost chatbots on small data

    Comparing Chatbot Performance Enhanced with Persistent Homology

    Nithisha Raghavaraju +2

  20. math.AT 2026-06-28 reviewed
    James-Hopf invariant fixed uniquely by Cartan formula and EHP property

    A note on the second James-Hopf invariant

    John R. Klein

  21. math.GR 2026-06-28 reviewed
    Binomial cup1 dgas yield pronilpotent groups matching pi1 R-completions

    Groups associated to 1-minimal models for binomial $\cup_1$-algebras

    Richard D. Porter +1

  22. math.AT 2026-06-28 reviewed
    Oriented polytopes present (∞,∞)-categories as sheaves

    An Oriented Street--Roberts Conjecture

    David Gepner +1

  23. math.AT 2026-06-27 reviewed
    Model extends A_infty homotopies to L_infty[1] with simplex filling

    Homotopy models for $L_{\infty}[1]$-algebras in higher degrees

    Taesu Kim

  24. math.AT 2026-06-27 reviewed
    Quasisymmetric cubical sets equate discrete and geometric homotopy groups

    Discrete homotopy groups of cubical sets

    Daisuke Kishimoto +1

  25. math.AT 2026-06-27 reviewed
    Discrete homotopy groups match classical ones for quasisymmetric cubical sets

    Discrete homotopy groups of cubical sets

    Daisuke Kishimoto +1

  26. math.AT 2026-06-26 reviewed
    Generalized Euler characteristics interpreted via Morava E-theories

    Chromatic Euler characteristics and duality for infinite groups

    Gijs Heuts +1

  27. math.AT 2026-06-26 reviewed
    Cohomology of parallelized n-manifolds gains homotopy Frobenius structure

    Homotopy Frobenius structures on the cohomology of a manifold

    Florian Naef +1

  28. math.CT 2026-06-25 reviewed
    Lax grids let Gray tensor product arise by Day convolution

    The Gray Product of $(\infty, n)$-Categories via Lax Grids

    Shai Keidar +1

  29. math.AT 2026-06-25 reviewed
    Realification and stabilisation are homomorphisms on bundle groups

    Realification of stably trivial vector bundles

    Guy Boyde +1

  30. math.AT 2026-06-25 reviewed
    Chain complexes compute configuration-space homology in positive characteristic

    Homology of configuration spaces in positive characteristic via point-set constructions

    Najib Idrissi +1

  31. math.AT 2026-06-25 reviewed
    Sandpile dynamics produce avalanche homology on digraphs

    Avalanche homology of digraphs via sandpile dynamics

    Henri Riihim\"aki +1

  32. math.NT 2026-06-24 reviewed
    Homology vanishing lines bound Gauss sum bias over function fields

    Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$

    Zhao Yu Ma

  33. math.DS 2026-06-24 reviewed
    Singular flows give dynamical formulas for intersection homology

    Singular Morse-Smale Flows on Pseudomanifolds with Spherical-Cone Singularities: Conley Theory and Intersection Homology

    Jean-Paul Brasselet +2

  34. math.AT 2026-06-24 reviewed
    Smooth Artin motives match Bredon modules for étale fundamental group

    Profinite Borel completeness and smooth Artin motives

    Yorick Fuhrmann

  35. math.AT 2026-06-24 reviewed
    Real bordism quotients equipped with ring involution

    Structured Quotients in Real Homotopy Theory

    Ryan Quinn +1

  36. math.GR 2026-06-24 reviewed
    Non-proper actions yield polynomial homological Dehn functions

    Polynomial homological Dehn functions from non-proper actions

    Roman Sauer +1

  37. math.AT 2026-06-23 reviewed
    Hodge spectra relax discrete topology into smooth losses

    Hodge Spectral Surrogates for Topology-Constrained Optimization

    Satoshi Kanno +1

  38. math.CO 2026-06-23 reviewed
    Transfer systems form matroids only for cyclic p-groups

    Transfer systems give matroids only for cyclic $p$-groups

    Yuri J. F. Sulyma

  39. math.AT 2026-06-23 reviewed
    Â is weakly equivalent to B haut(A)

    On the Classifying Space of Homogeneous Functors

    Jiahao Li

  40. math.DG 2026-06-23 reviewed
    Equivalence maps transitive L∞ algebroids to L∞ spaces

    From $L_\infty$ algebroids to $L_\infty$ spaces: Part I

    Alberto S. Cattaneo +1

  41. math.GT 2026-06-23 reviewed
    Genus-one differential strata with four or more singularities are never orbifold K(π,1)

    Non-asphericity of strata of genus-one differentials and stability spaces

    Dawei Chen +3

  42. math.DG 2026-06-22 reviewed
    L∞ spaces over dg manifolds form fibrant object category

    Homotopy theory for curved $L_\infty$ spaces

    Shuhan Jiang

  43. math.AG 2026-06-22 reviewed
    Tannakian duality unifies etale

    \'Etale Fundamental Groups -- a geometric and topological approach to fundamental groups in algebraic geometry

    Loris De Vos

  44. math.KT 2026-06-22 reviewed
    Goncharov coalgebra gives weight-3 K-theory via polylogarithms

    The Goncharov Lie coalgebra of a field

    Alexander Kupers +2

  45. math.AT 2026-06-22 reviewed
    Rational cohomology vanishes in two top degrees for large congruence subgroups

    Codimensions one and two cohomology of Hecke congruence subgroups

    Tatiana Abdelnaim +1

  46. math.AT 2026-06-22 reviewed
    Short proof of Real Snaith equivalences via Wilson orientations

    Structured Real Snaith Equivalences

    Ryan Quinn +1

  47. math.AT 2026-06-22 reviewed
    Generalized Milnor manifolds get exact topological complexity values

    On Generalized Milnor Manifolds and Their Topological Complexity

    Sarjick Bakshi +2

  48. math.GR 2026-06-20 reviewed
    Compact groups are Lie if free actions are all principal

    Action principality as a Lie-group certificate

    Alexandru Chirvasitu

  49. math.GR 2026-06-20 reviewed
    Free actions principal implies Lie group for compact groups with metrizable abelianization

    Action principality as a Lie-group certificate

    Alexandru Chirvasitu

  50. math.AG 2026-06-20 reviewed