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38 papers in math.KT · page 1

  1. math.CV 2026-05-12 reviewed
    Condensed sets recover Serre duality and Riemann-Roch for complex manifolds

    Condensed Mathematics and Complex Geometry

    Dustin Clausen +1

  2. math.AG 2026-05-12 reviewed
    Equivariant Milnor-Witt motive of M1,2 decomposes

    The equivariant Milnor-Witt motive of $\overline{\mathcal{M}}_{1,2}$

    Nanjun Yang

  3. math.NT 2026-05-11 reviewed
    K2 element proven 2-indivisible for elliptic curves

    The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves

    Matt Kerr +3

  4. math.KT 2026-05-11 reviewed
    Equivariant Hochschild cohomology equals relative Ext

    Equivariant Hochschild cohomology of group algebras and relative $\operatorname{Ext}$

    Andrada Pojar +1

  5. math.NT 2026-05-09 reviewed
    Merkurjev construction yields non-R-trivial similitudes in degree 6

    Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$

    Karim Johannes Becher +1

  6. math.AT 2026-05-08 reviewed
    Semisimplicial modules match chain-complex homotopy theories

    Combinatorial Models for Linear Homotopy Theories

    Atabey Kaygun

  7. math.KT 2026-05-06 reviewed
    The paper shows that the algebraic K-theory groups of the thick subcategory generated by…

    Algebraic $K$-theory, cohomotopy $K$-groups, and Koszul duality

    Farkhod Eshmatov +2

  8. math.KT 2026-05-05 reviewed
    Deformation groupoids construct functorial Gysin maps in groupoid theories

    Gysin maps and wrong way functoriality via geometric deformation groupoids

    Paulo Carrillo Rouse +1

  9. math.AT 2026-05-01 reviewed
    Stable categories reconstruct from hearts via two-step completion

    Unbounded Weight Structures: (Re)construction and Completion

    Phil P\"utzst\"uck +1

  10. math.AT 2026-05-01 reviewed
    Geodesic subspace posets realize as wedges of spheres

    Scissors automorphism groups II: Solomon-Tits theorems

    Alexander Kupers +4

  11. math.AG 2026-04-30 reviewed
    Quillen-Lichtenbaum conjecture extends to noncommutative complex schemes

    Noncommutative Quillen-Lichtenbaum Conjecture

    Chunhui Wei

  12. math.KT 2026-04-28 reviewed
    Equivariant coarse Baum-Connes equals groupoid version

    A groupoid approach to the equivariant coarse Baum--Connes conjecture

    Liang Guo

  13. math.AT 2026-04-28 reviewed
    KR-theory yields immersions of C2-projective spaces

    Immersions of $C_2$-projective spaces via $K\mathbb{R}$-theory

    Albert Jinghui Yang +3

  14. math.AG 2026-04-27 reviewed
    P1-unstable theory yields Gysin maps for motivic spectra

    The $\mathbf{P}^1$-motivic Gysin map

    Longke Tang

  15. math-ph 2026-04-27 reviewed
    Pauli stabilizer codes match Clifford QCAs one dimension higher

    The Classification of Pauli Stabilizer Codes: A Lattice and Continuum Treatise

    Bowen Yang +1

  16. math.AT 2026-04-27 reviewed
    A∞-algebras model rational fiberwise THH transfer

    A rational model for the fiberwise THH transfer II: $A_\infty$-algebras

    Florian Naef +1

  17. math.RA 2026-04-27 reviewed
    Every lim¹ group equals the cokernel of a module to its completion

    The structure of $\lim^1$-groups

    Ioannis Emmanouil

  18. math.FA 2026-04-24 reviewed
    Regularized winding number gives spectral flow for Id+Schatten unitaries

    Analytic spectral flow formula for unitaries and Levinson's theorem

    A. Alexander +3

  19. math.AT 2026-04-24 reviewed
    Diagrams of Eilenberg-MacLane spaces are formal over Q

    On formality of diagrams of Eilenberg-MacLane spaces

    Antoine Touz\'e +1

  20. math.QA 2026-04-22 reviewed
    Tensor category cohomology conjecture reduces to Hochschild finiteness

    On the cohomology of finite tensor categories

    Petter Andreas Bergh

  21. math.KT 2026-04-19 reviewed
    Witt ring of the real sphere is calculated

    The Witt ring of the real sphere

    Heng Xie

  22. math.KT 2026-04-17 reviewed
    Two-symbol sums in char-2 K2 carry a K4 invariant

    Sums of two symbols in $K_2(F)/2K_2(F)$ in characteristic two

    Adam Chapman +2

  23. math.LO 2026-04-17 reviewed
    Quotient encodings bound C*-algebra properties in the Borel hierarchy

    Polish spaces for countable and separable structures through quotient encodings

    Tomasz Kania

  24. math.OA 2026-04-16 reviewed
    This paper proves that the quantitative coarse Baum-Connes conjecture holds for the free…

    The quantitative coarse Baum-Connes conjecture for free products

    Jintao Deng +1

  25. math.AT 2026-04-16 reviewed
    Finite group actions preserve Witt pseudomanifolds and their L-classes

    Equivariant L-Classes of Atiyah-Singer-Zagier Type for Singular Spaces

    Markus Banagl

  26. math.KT 2026-04-15 reviewed
    Weighted limit defines Euler characteristic for unbounded complexes

    An Euler Characteristic for Unbounded Chain Complexes

    Dan Kucerovsky +1

  27. math.RA 2026-04-15 reviewed
    Growth entropy bounds categorical entropies for noncommutative algebras

    Growth in noncommutative algebras and entropy in derived categories

    Dmitri Piontkovski

  28. math.AG 2026-04-14 reviewed
    Polynomials represent suspended Hopf map over Z

    Exotic Hopf maps, weight shifting and applications to vector bundles

    Jean Fasel +1

  29. math.OA 2026-04-14 reviewed
    Universal coefficient theorem holds for square-free cyclic group actions

    A universal coefficient theorem for actions of finite cyclic groups of square-free order on C*-algebras

    George Nadareishvili +1

  30. math.AT 2026-04-13 reviewed
    Parametric T(n)-equivalences align two periodic localizations of spaces

    On periodic homotopy and homology equivalences of spaces

    Gijs Heuts +2

  31. math.KT 2026-04-10 reviewed
    K-theory of constant Tambara fields is torsion

    The $K$-theory of finite Tambara fields: away from $p$

    Noah Wisdom

  32. math.KT 2026-04-10 reviewed
    Relative Vorst theorem improves K1 stability bounds

    Improved injective stability for relative $\mathrm{K_1Sp}$-groups

    Kuntal Chakraborty +1

  33. math.KT 2026-04-09 reviewed
    Bredon sheaf cohomology is fixed by descent conditions alone

    Bredon sheaf cohomology

    Devarshi Mukherjee +2

  34. math.NT 2026-04-08 reviewed
    Reduced unitary Whitehead group vanishes over p-adic curve fields

    Reduced Unitary Whitehead Groups over Function Fields of p-adic Curves

    Zitong Pei

  35. math.OA 2026-04-06 reviewed
    Split exact sequences give KK-equivalences for amplified graph C*-algebras

    On split exact sequences and KK-equivalences of amplified graph C*-algebras

    Jesse Reimann +1

  36. math.KT 2026-04-04 reviewed
    SU₃(F[t]) first cohomology isomorphic to PGL₂(F)

    Cohomology of special unitary groups and congruence subgroups

    Claudio Bravo

  37. math.AT 2026-04-02 reviewed
    Fiberwise THH transfer rationally modeled by Sullivan algebra transfers

    A rational model for the fiberwise THH transfer I: Sullivan algebras

    Florian Naef +1

  38. math.QA 2026-04-01 reviewed
    Mixed associator deformations controlled by Drinfeld center Ext

    Deformations of mixed associators in module categories

    Azat M. Gainutdinov +3