Results 61 to 70 of about 82,482 (245)
$\infty$-categorical enhancements of triangulated categories
, 2023 Derived algebraic geometry has seen its beginnings in the ‘90s as a generalization of algebraic geometry in which one seeks to replace triangulated categories of interest, like the triangulated derived category of quasi-coherent sheaves on a scheme, with
SARTI, PAOLO
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Ferroelectric Quantum Dots for Retinomorphic In‐Sensor Computing
Advanced Materials, EarlyView.This work has provided a protocol for fabricating retinomorphic phototransistors by integrating ferroelectric ligands with quantum dots. The resulting device combines ferroelectricity, optical responsiveness, and low‐power operation to enable adaptive signal amplification and high recognition accuracy under low‐light conditions, while supporting ...
Tingyu Long +26 more
wiley +1 more source
A combinatorial classification of thick subcategories of derived and stable categories
, 2011 Köhler C. A combinatorial classification of thick subcategories of derived and stable categories.
Köhler, Claudia
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Metrics on triangulated categories
, 2020 In a 1973 article Lawvere defined (among many other things) metrics on categories—the article has been enormously influential over the years, spawning a huge literature.
Neeman, Amnon, Amnon Neeman
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Advanced Materials, EarlyView.Transition metal oxy/carbo‐nitrides show great promise as catalysts for sustainable processes. A Mn‐Mo mixed‐metal oxynitride attains remarkable performance for the direct synthesis of acetonitrile, an important commodity chemical, via sequential C─N and C─C coupling from syngas (C1) and ammonia (N1) feedstocks.
M. Elena Martínez‐Monje +7 more
wiley +1 more source
Derived Homology of Triangulated Categories: A Canonical Abelianization
This paper introduces a novel theory of derived homology for triangulated categories, offering a systematic approach to extracting abelian information from these highly structured, yet non-abelian, algebraic settings. While triangulated categories provide a powerful framework for studying derived functors in various contexts such as algebraic geometry,
Revista, Zen, MATH, 10
openaire +2 more sources
Advanced Materials, EarlyView.Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano +18 more
wiley +1 more source
Deformations of triangulated categories with t-structures via derived injectives
This paper provides the final ingredient in the development of the deformation theory of pretriangulated dg-categories endowed with a nice t-structure, which was initiated by the authors and is modeled after the previously developed deformation theory of abelian categories.
Genovese, Francesco +3 more
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Mechanically Programmable DNA Hydrogel Microparticles for 3D Cellular Systems
Advanced Materials, EarlyView.DNA hydrogel microparticles are designed to exhibit controllable viscoelasticity and stiffness across three orders of magnitude from 30Pa$30 \,\mathrm{Pa}$ to 6.5kPa$6.5 \,\mathrm{kPa}$. They are uptaken into fibroblast spheroids where they are actively remodeled by cellular forces depending on their mechanical properties.
Tobias Walther +9 more
wiley +1 more source
From Exact Sequences to Derived Invariants of Triangulated Categories
Triangulated categories serve as a cornerstone in modern mathematics, providing a powerful framework for studying various phenomena across algebraic geometry, representation theory, and topology. Central to their structure are exact sequences, generalized as distinguished triangles, which encode fundamental relationships between objects.
Revista, Zen, MATH, 10
openaire +1 more source