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131 papers in math.KT · page 1
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Secondary pairing detects missed K-homology classes
A secondary pairing between K-theory and K-homology, relative eta invariants, and zeta maps
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Symmetric homology equals free E∞-algebra on E1-algebra
Topological symmetric and braid homologies
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Cohomology classifies bundles on real affine threefolds
On the cohomological classification of vector bundles on smooth real affine surfaces and threefolds
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Unramified Milnor K-classes are n-divisible over separably closed fields
Divisibility phenomena in motivic Bloch--Ogus theory
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Abel summation yields non-trivial K-theory for unbounded complexes
The Abel Summation Method and Infinite Euler Characteristic
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E-theory for spaces matches E-valued sheaf formalism
$E$-theory of $X$-$C^{*}$-algebras and functor formalisms
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E-theory for spaces forms six-functor formalism equivalent to sheaves
$E$-theory of $X$-$C^{*}$-algebras and functor formalisms
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Multivalued homology vanishes in positive degrees for compact Hausdorff spaces
Singular multivalued homology
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Condensed sets recover Serre duality and Riemann-Roch for complex manifolds
Condensed Mathematics and Complex Geometry
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Equivariant Milnor-Witt motive of M1,2 decomposes
The equivariant Milnor-Witt motive of $\overline{\mathcal{M}}_{1,2}$
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Moduli space motive of stable curves decomposes explicitly
The equivariant Milnor-Witt motive of $\overline{\mathcal{M}}_{1,2}$
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Equivariant Milnor-Witt motive of stable curve moduli decomposes
The equivariant Milnor-Witt motive of $\overline{\mathcal{M}}_{1,2}$
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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
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Equivariant Hochschild cohomology reduces to relative Ext
Equivariant Hochschild cohomology of group algebras and relative $\operatorname{Ext}$
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Equivariant Hochschild cohomology equals relative Ext
Equivariant Hochschild cohomology of group algebras and relative $\operatorname{Ext}$
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Merkurjev construction yields non-R-trivial similitudes in degree 6
Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$
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Semisimplicial modules match chain-complex homotopy theories
Combinatorial Models for Linear Homotopy Theories
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The paper shows that the algebraic K-theory groups of the thick subcategory generated by…
Algebraic $K$-theory, cohomotopy $K$-groups, and Koszul duality
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Deformation groupoids construct functorial Gysin maps in groupoid theories
Gysin maps and wrong way functoriality via geometric deformation groupoids
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Stable categories reconstruct from hearts via two-step completion
Unbounded Weight Structures: (Re)construction and Completion
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Geodesic subspace posets realize as wedges of spheres
Scissors automorphism groups II: Solomon-Tits theorems
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Quillen-Lichtenbaum conjecture extends to noncommutative complex schemes
Noncommutative Quillen-Lichtenbaum Conjecture
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Equivariant coarse Baum-Connes equals groupoid version
A groupoid approach to the equivariant coarse Baum--Connes conjecture
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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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P1-unstable theory yields Gysin maps for motivic spectra
The $\mathbf{P}^1$-motivic Gysin map
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Pauli stabilizer codes match Clifford QCAs one dimension higher
The Classification of Pauli Stabilizer Codes: A Lattice and Continuum Treatise
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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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Every lim¹ group equals the cokernel of a module to its completion
The structure of $\lim^1$-groups
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Regularized winding number gives spectral flow for Id+Schatten unitaries
Analytic spectral flow formula for unitaries and Levinson's theorem
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Diagrams of Eilenberg-MacLane spaces are formal over Q
On formality of diagrams of Eilenberg-MacLane spaces
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Tensor category cohomology conjecture reduces to Hochschild finiteness
On the cohomology of finite tensor categories
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Witt ring of the real sphere is calculated
The Witt ring of the real sphere
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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
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Quotient encodings bound C*-algebra properties in the Borel hierarchy
Polish spaces for countable and separable structures through quotient encodings
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This paper proves that the quantitative coarse Baum-Connes conjecture holds for the free…
The quantitative coarse Baum-Connes conjecture for free products
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Finite group actions preserve Witt pseudomanifolds and their L-classes
Equivariant L-Classes of Atiyah-Singer-Zagier Type for Singular Spaces
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Weighted limit defines Euler characteristic for unbounded complexes
An Euler Characteristic for Unbounded Chain Complexes
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Growth entropy bounds categorical entropies for noncommutative algebras
Growth in noncommutative algebras and entropy in derived categories
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Polynomials represent suspended Hopf map over Z
Exotic Hopf maps, weight shifting and applications to vector bundles
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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
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Parametric T(n)-equivalences align two periodic localizations of spaces
On periodic homotopy and homology equivalences of spaces
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K-theory of constant Tambara fields is torsion
The $K$-theory of finite Tambara fields: away from $p$
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Relative Vorst theorem improves K1 stability bounds
Improved injective stability for relative $\mathrm{K_1Sp}$-groups
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Bredon sheaf cohomology is fixed by descent conditions alone
Bredon sheaf cohomology
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Reduced unitary Whitehead group vanishes over p-adic curve fields
Reduced Unitary Whitehead Groups over Function Fields of p-adic Curves
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Split exact sequences give KK-equivalences for amplified graph C*-algebras
On split exact sequences and KK-equivalences of amplified graph C*-algebras
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SU₃(F[t]) first cohomology isomorphic to PGL₂(F)
Cohomology of special unitary groups and congruence subgroups
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Fiberwise THH transfer rationally modeled by Sullivan algebra transfers
A rational model for the fiberwise THH transfer I: Sullivan algebras
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Mixed associator deformations controlled by Drinfeld center Ext
Deformations of mixed associators in module categories
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Dirac and Szegö classes coincide in equivariant K-homology
Toeplitz Operators on Contact Manifolds and Equivariant K-homology