Results 91 to 100 of about 1,060 (227)

Auslander-Reiten sequences and $t$-structures on the homotopy category of an abelian category [PDF]

, 2009
Erik Backelin, Omar Jaramillo
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Homotopy limits of categories

Journal of Pure and Applied Algebra, 1994
Given a diagram \(A : {\mathcal I} \to {\mathcal C}at\) of small categories, \textit{R. W. Thomason} [Math. Proc. Cambridge Philos. Soc. 85, 91-109 (1979; Zbl 0392.18001)] proved that the Grothendieck construction \({\mathcal I} \int A\) is a category with nerve homotopically equivalent to hocolim NA, the homotopy colimit of NA, the corresponding ...
openaire   +1 more source

Limits in $ \mathcal{D} $-module categories: Completeness and derived geometric extensions

AIMS Mathematics
This work establishes the categorical completeness of the category $ \mathsf{Mod}(\mathcal{D}_{X}) $ of left $ \mathcal{D} $-modules on smooth complex algebraic varieties, resolving a fundamental structural question in algebraic analysis.
Huang-Rui Lei, Jian-Gang Tang
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Homology and homotopy in semi-abelian categories [PDF]

, 2006
Tim Van der Linden
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Cogroupoid structures on the circle and the Hodge degeneration

Forum of Mathematics, Sigma
We exhibit the Hodge degeneration from nonabelian Hodge theory as a $2$ -fold delooping of the filtered loop space $E_2$ -groupoid in formal moduli problems. This is an iterated groupoid object which in degree $1$ recovers the filtered
Tasos Moulinos
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Instanton density operator in lattice QCD from higher category theory

SciPost Physics
A natural definition for instanton density operator in lattice QCD has long been desired. We show this problem is, and has to be, solved by higher category theory.
Jing-Yuan Chen
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Homotopy categories and idempotent completeness, weight structures and\n weight complex functors [PDF]

, 2011
Olaf M. Schnürer
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On equivariant homotopy theory for model categories [PDF]

, 2016
Marc Stephan
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Homotopy Equivalent Algebraic Structures in Multicategories and Permutative Categories [PDF]

, 2022
Niles Johnson, Donald Yau
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Homotopy cartesian diagrams in n-angulated categories [PDF]

, 2016
Zengqiang Lin, Yan Zheng
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