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131 papers in math.KT · page 2
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KK-axiom characterizes graded KK^G-theory universally
The universal property of graded $KK^G$-theory
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Neutral fermions realize gp- and gq-functions as expectations
Neutral-Fermion constructions of factorial $gp$-and $gq$-Functions
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Lifting properties hold for 3-manifold and limit groups
The Local Lifting Property, Property FD, and stability of approximate representations
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Twisted polynomials give Schubert basis in orbifold K-theory
Twisted factorial Grothendieck polynomials and equivariant $K$-theory of weighted Grassmann orbifolds
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Dolbeault-Dirac operators yield p-independent indices on Kähler manifolds
Dolbeault-Dirac operators on compact K\"ahler manifolds in Banach noncommutative geometry
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Lattice spectral flow captures Atiyah-Patodi-Singer index
Capturing the Atiyah-Patodi-Singer index from the lattice
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Semi-free DG rings make simplicial hom sets into Kan complexes
The Simplicial Cylinder DG Ring
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Dévissage condition is necessary and sufficient for K-isomorphisms
D\'evissage for Algebraic K-theory of Small Stable $\infty$-categories
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Hodge-Dirac indices stay constant across all L^p
The $\mathrm{L}^p$-index of the Hodge-Dirac operator on compact Riemannian manifolds
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K-theoretic invariants obey wall-crossing formulas
Generalized K-theoretic invariants and wall-crossing via non-abelian localization
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Poisson transform has closed range on rank-one Lie groups
Sharp mapping properties of Poisson transforms and the Baum-Connes conjecture
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Milnor formula computes K-classes for quantum projective planes
Milnor meets Hopf and Toeplitz at the K-theory of quantum projective planes
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Bilinear product defined intrinsically in semi-abelian categories
Intrinsic tensor products and a Ganea-type extension of the five-term exact sequence
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Magnetic equivariant graded Brauer group forms explicit abelian group
Magnetic Equivariant Graded Brauer Group
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F_p rational function fields satisfy C_n^1 property
Stability of the Kato-Kuzumaki's properties under field extensions
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Gathered spectral sequence computes THH of ku from its Adams summand
A computation of $THH_*(ku)$ using a gathered spectral sequence
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K1 of varieties generated by stratified birational equivalences
$K_1(Var)$ is presented by stratified birational equivalences
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Infinite edge copies realize AF cores of looped-graph C*-algebras
On amplified graph C*-algebras as cores of Cuntz-Krieger algebras
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Stiefel variety projections lack sections for some ranks
The nonexistence of sections of Stiefel varieties and stably free modules
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Relative hyperbolicity reduces twisted coarse conjecture to subgroups
The twisted coarse Baum--Connes conjecture and relative hyperbolic groups
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Bulk systems at infinity fix interface spectrum and indices
Interfaces of discrete systems - spectral and index properties
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Groupoids identified via C-set category properties
Characterization of groupoid categories in terms of its category of $\mathcal{C}$-sets
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Cut-and-paste K-theory of G-manifolds forms G-spectrum fixed points
A genuine $G$-spectrum for the cut-and-paste $K$-theory of $G$-manifolds
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Non-free stably free Swan module exists
Swan modules and homotopy types after a single stabilisation
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Groupoid homology matches graded K0 of Kumjian-Pask algebras
Higher-rank graphs and the graded $K$-theory of Kumjian-Pask algebras
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Graded homology equals K-theory for higher-rank graph algebras
Higher-rank graphs and the graded $K$-theory of Kumjian-Pask algebras
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Discrete Morse theory simplifies torsion reduction for PSL(4,Z)
The 2-torsion in the Farrell--Tate cohomology of PSL(4,Z), and torsion subcomplex reduction via discrete Morse theory
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Simple varieties control equivariant truncating invariants
Equivariant localizing invariants of simple varieties
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Wall-crossing formulas hold for Calabi-Yau fourfolds
Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications
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Schur multipliers computed for Steinberg groups of rank 3+
Locally isotropic Steinberg groups II. Schur multipliers
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Acyclic complexes mark non-commutative Gorenstein rings
Totally acyclic complexes and homological invariants over arbitrary rings
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Cooperations ring for real Hermitian K-theory described by comodules
On the ring of cooperations for real hermitian K-theory
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Cyclic Rota-Baxter structure on one algebra yields pre-Calabi-Yau on its pair partner
From homotopy Rota-Baxter algebras to Pre-Calabi-Yau and homotopy double Poisson algebras
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Higher category homology defined by Eilenberg-Steenrod axioms
Homology of higher categories
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Idempotents split C^x-fibered p-biset functors by atoric p-groups
A Categorical Decomposition of $\mathbb C^{\times}$-fibered $p$-biset Functors
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Burnside biset functor factors restricted to near-cyclic p-groups
$p$-Biset Functor of Monomial Burnside Rings
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Segal conjecture fails for higher-height polynomial algebras
Algebraic K-theory of finite algebras over higher local fields
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K-theory of power series rings matches coalgebra version
Coalgebraic $K$-theory
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Rapid decay extends to group pairs
The rapid decay property for pairs of discrete groups
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Conjecture fixes image of real cycle class map by cokernel exponents
On the image of higher signature maps
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Steinberg groups form unique crossed modules over G with central K2
Locally isotropic Steinberg groups I. Centrality of the $\mathrm K_2$-functor
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Real K-theory spectra equivalent in two frameworks
An equivalence between two frameworks for real algebraic K-theory
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Line bundles generate K-theory of graph algebra cores
On the K-theory of the AF core of a graph C*-algebra
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K-theory of affine Schubert varieties matches Hochschild homology over F_p
Equivariant $K$-theory, affine Grassmannian and perfection
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Calculations refute equivariant gap-labeling for tilings in four or more dimensions
New results on tilings via cup products and Chern characters on tiling spaces
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SL-cobordism P1-diagonal equals special unitary cobordism ring
The geometric diagonal of the special linear algebraic cobordism
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S-construction on stable squares categories yields 2-Segal spaces
Squares K-theory and 2-Segal spaces
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Quasi-reps of low-dim groups approx by reps when obstructions vanish
Conditional representation stability, classification of $*$-homomorphisms, and relative eta invariants
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Weak Waldhausen axioms yield one-sided K0 localization
Weak Waldhausen categories and a localization theorem
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First non-vanishing delocalised Betti numbers for infinite groups
Higher Kazhdan projections and delocalised $\ell^ 2$-Betti numbers