Deformation of dg categories
WebTheorem 1.2.3 (Deformation formality). Any infinite order formal O-deformation (A,ψ) of an associative algebra a provides a canonical lift of the graded algebra morphism (1.2.2), … WebFeb 8, 2012 · This paper is the first part of a project aimed at understanding deformations of triangulated categories, and more precisely their dg and A infinity models, and applying the resulting theory to...
Deformation of dg categories
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WebUsing localizing pairs and Drinfeld's dg quotient we construct a new Quillen model for the homotopy theory of dg categories. We prove that, in contrast with the original model, … WebApr 30, 2024 · Flexible multifunctional sensors represent a significant branch of the next generation of flexible electronics, exhibiting great potential for application in smart wear, human–computer interaction, and soft robotics [1,2,3,4,5,6,7,8].Numerous types of pressure sensors already exist, such as capacitive inductive [9,10], piezoelectric ceramic [11,12], …
Webthe top via the deformation theory [48,55] of dg categories; see Remark10.6(2). The proof of TheoremAis divided into two steps. We rst introduce the singular Yoneda dg category SYof , which turns out to be quasi-equivalent to S dg(). Secondly, using the explicit description of SY, we show that the endomorphism WebKontsevich has been at least implicitly talking about deformations of categories since at least 1994, in the original paper introducing homological mirror symmetry. The idea (or …
WebV.Drinfeld, DG quotients of DG categories. E-preprint. B.Keller, Introduction to A-infinity algebras E-preprint. K.Lefevre-Hasegawa, Sur les A-infini categories. from author's page. M.Kontsevich's course on deformation theory. Course notes in PostScript. V.Ginzburg, Lectures on noncommutative geometry. E-preprint. WebA differential graded algebra (or DG-algebra for short) A is a graded algebra equipped with a map which has either degree 1 (cochain complex convention) or degree −1 (chain complex convention) that satisfies two conditions: . This says that d gives A the structure of a chain complex or cochain complex (accordingly as the differential reduces ...
http://www.numdam.org/item/10.1016/j.ansens.2007.05.001.pdf
WebNov 23, 2024 · We prove the equivalence of the deformation theory for a higher dimensional Calabi--Yau manifold and that for its dg category of perfect complexes by giving a natural isomorphism of the... spots in childrenWebcategories of geometric or algebraic origin are of the form [T] for some natural dg-category T. Moreover, the triangulated structure on [T] is then completely determined by T alone (see e.g. [2,14]). The structure of a dg-category can then be considered as a refinement of the structure of a triangulated category. Let now T be a fixed dg-category. spots in cebuWebOct 1, 2009 · We develop a general deformation theory of objects in homotopy and derived categories of DG categories. Namely, for a DG module E over a DG category we define four deformation functors Def h ( E), coDef h ( E), Def ( E), coDef ( E). spots in aslWebApr 12, 2024 · To determine and compare the measurement uncertainty of different geological-geotechnical testing methods, numerous test locations were selected in a hard rock quarry. Measurements were carried out along two vertical measurement lines perpendicular to the mining levels of an existing exploration. Along these lines, the rock … spots in children picturesWeb1 day ago · The deformation behavior of Mg-14Gd-0.5Zr (wt.%) was investigated via uniaxial compression tests at the temperature range of 375-500 ℃ and strain rate of 0.001-10 s-1.The constitutive equation was calculated to describe the flow stress behavior, and the processing maps were constructed using true stress-strain data through the Dynamic … shenhe worth it redditWebIn §2 we present some preliminaries on dg-categories and quasi-functors. We first check (§2.3, Proposition 2.3.1, Corollary 2.3.2) that the dg-category of quasi-functors … spots in between window glassWebThe homotopy theory of dg-categories and derived Morita theory EN English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe Suomi Latvian … shenhh ucas.ac.cn