# K-Theory and Homology

## Authors and titles for math.KT in Dec 2020

[ total of 25 entries: 1-25 ]
[ showing 25 entries per page: fewer | more ]

Title: Cohomology groups for spaces of 12-fold tilings
Comments: 64 pages. Article reviewed following the referee's suggestions. New final 'Discussion' section added. To appear in IMRN
Subjects: K-Theory and Homology (math.KT); Mathematical Physics (math-ph); Dynamical Systems (math.DS)

Title: The Chow $t$-structure on the $\infty$-category of motivic spectra
Comments: 40 pages. Minor changes. Accepted version
Subjects: K-Theory and Homology (math.KT); Algebraic Geometry (math.AG); Algebraic Topology (math.AT)

Title: Cotorsion pairs in Hopfological algebra
Subjects: K-Theory and Homology (math.KT)

Title: The eigensplitting of the fiber of the cyclotomic trace for the sphere spectrum
Comments: Contains some of the material dropped from 1508.00014v3 in v4 plus additional material on TC(Z)
Subjects: K-Theory and Homology (math.KT)

Title: Bivariant Hermitian $K$-theory and Karoubi's fundamental theorem
Comments: 27 pages. Various minor, mostly expository changes in second version
Subjects: K-Theory and Homology (math.KT); Operator Algebras (math.OA)

Title: Koszul complexes and spectral sequences associated with Lie algebroids
Comments: 8 pages. To appear in S\~ao Paulo Journal of Mathematical Sciences
Journal-ref: S\~ao Paulo J. Math. Sci. 15 (2021) 495-504
Subjects: K-Theory and Homology (math.KT)

Title: Topological K-theory for discrete groups and Index theory
Comments: This article replaces a previous version whose title was the same plus part I. Originally we planned to work out a second part but we finally extended and completed the first part in a single paper. We thank the colleague that encouraged us to complete part I into a single piece and gave us invaluable references that were key to the present work
Subjects: K-Theory and Homology (math.KT); Algebraic Topology (math.AT); Differential Geometry (math.DG); Operator Algebras (math.OA)

Title: Hypersurface support for noncommutative complete intersections
Subjects: K-Theory and Homology (math.KT); Rings and Algebras (math.RA)
  arXiv:2012.00864 (cross-list from math.AT) [pdf, ps, other]
Title: Redshift and multiplication for truncated Brown-Peterson spectra
Comments: Greatly improved based on comments from referees. In particular, the proof of the Multiplication Theorem is conceptually simpler and the proof of Canonical Vanishing has also been simplified. The relationship between the conclusions of the main theorems for more general cyclotomic spectra has also been clarified in a new section
Subjects: Algebraic Topology (math.AT); K-Theory and Homology (math.KT)
  arXiv:2012.03966 (cross-list from math.AT) [pdf, ps, other]
Title: Spanier-Whitehead duality for topological coHochschild homology
Subjects: Algebraic Topology (math.AT); K-Theory and Homology (math.KT)
  arXiv:2012.05404 (cross-list from math.AC) [pdf, ps, other]
Title: A truncated minimal free resolution of the residue field
Comments: 24 pages, to appear in Springer volume Women in Commutative Algebra - Proceedings of the 2019 WICA Workshop
Subjects: Commutative Algebra (math.AC); K-Theory and Homology (math.KT); Rings and Algebras (math.RA)
  arXiv:2012.06067 (cross-list from math.RA) [pdf, ps, other]
Title: From recollements of abelian categories to recollements of triangulated categories
Subjects: Rings and Algebras (math.RA); K-Theory and Homology (math.KT)
  arXiv:2012.06941 (cross-list from math.FA) [pdf, ps, other]
Title: On a class of closed cocycles for algebras of non-formal, possibly unbounded, pseudodifferential operators
Subjects: Functional Analysis (math.FA); Mathematical Physics (math-ph); K-Theory and Homology (math.KT); Operator Algebras (math.OA)
  arXiv:2012.07130 (cross-list from math.AG) [pdf, ps, other]
Title: K-theory and G-theory of derived algebraic stacks
Comments: 53 pages; added some continuity statements (1.52, 1.54, 2.22), rewrote discussion of perfect stacks with some new compact generation results (1.40 and 1.42, joint with C. Ravi), and made various other minor revisions
Subjects: Algebraic Geometry (math.AG); K-Theory and Homology (math.KT)
  arXiv:2012.07365 (cross-list from math.AG) [pdf, ps, other]
Title: Strict $\mathbb{A}^{1}$-invariance over the integers
Subjects: Algebraic Geometry (math.AG); K-Theory and Homology (math.KT)
  arXiv:2012.08361 (cross-list from math.AG) [pdf, ps, other]
Title: Connectivity and Purity for logarithmic motives
Comments: A gap was found in a proof on the last section. We modified the statement to a weaker form
Subjects: Algebraic Geometry (math.AG); K-Theory and Homology (math.KT)
  arXiv:2012.09832 (cross-list from math.AG) [pdf, ps, other]
Title: Jacques Tits motivic measure
Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT); K-Theory and Homology (math.KT); Representation Theory (math.RT)
  arXiv:2012.09949 (cross-list from math.AP) [pdf, ps, other]
Title: Nonlocal elliptic problems associated with actions of discrete groups on manifolds with boundary
Subjects: Analysis of PDEs (math.AP); K-Theory and Homology (math.KT); Operator Algebras (math.OA)
  arXiv:2012.11186 (cross-list from math.OA) [pdf, other]
Title: Gysin sequences and SU(2)-symmetries of C*-algebras
Subjects: Operator Algebras (math.OA); K-Theory and Homology (math.KT)
  arXiv:2012.11296 (cross-list from math.AT) [pdf, other]
Title: Secondary cup and cap products in coarse geometry
Comments: 57 pages, builds directly upon arXiv:2006.02053
Journal-ref: Res. Math. Sci. 8, No. 3, Paper No. 36, 64 p. (2021)
Subjects: Algebraic Topology (math.AT); K-Theory and Homology (math.KT); Metric Geometry (math.MG)
  arXiv:2012.12676 (cross-list from math.AT) [pdf, ps, other]
Title: G-Global Homotopy Theory and Algebraic K-Theory
Authors: Tobias Lenz
Comments: Several minor corrections and changes to exposition, some additional material; v + 236 pages
Subjects: Algebraic Topology (math.AT); K-Theory and Homology (math.KT)
  arXiv:2012.13304 (cross-list from math.AG) [pdf, ps, other]
Title: The Nisnevich Motive of an Algebraic Stack
Comments: 20 pages. (v2) New section (Section 5) added on applications to motivic cohomology of stacks; (v3) minor changes
Subjects: Algebraic Geometry (math.AG); K-Theory and Homology (math.KT)
  arXiv:2012.14667 (cross-list from math.CO) [pdf, other]
Title: Shellable tilings on relative simplicial complexes and their h-vectors
Authors: Jean-Yves Welschinger (AGL)
Subjects: Combinatorics (math.CO); Geometric Topology (math.GT); K-Theory and Homology (math.KT)
  arXiv:2012.15011 (cross-list from math.CO) [pdf, ps, other]
Title: Refined dual Grothendieck polynomials, integrability, and the Schur measure
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