Calabi-yau properties of down-up dg algebras
Webfd(A) is n-Calabi-Yau as a triangulated category. In the case whereA is the path algebra of an acyclic quiver (with an appropriate differential), the author explicitly computes the inverse dualising complex of A. Let n be an integer and θ = Σn−1Θ A. The n-Calabi-Yau completionΠ n(A) of A is the tensor dg algebra T A(θ) of θ over A. The ... WebWhen the rank r(M) of M belongs to {1,2,3}, we compute H(A) case by case. The computational results in this paper give substantial support for the research of the …
Calabi-yau properties of down-up dg algebras
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WebJun 29, 2024 · A (smooth) dg algebra is called (left) Calabi-Yau if (see for example here ) A! = A [ − n] Here we use the inverse dualizing complex A! = R Hom ( A e) o p ( A, A e). WebJan 1, 2012 · The following result relates the fact that Λ is Calabi-Yau to properties on the homological determinant when it exists. Note that part (2) is proved in [17, Theorem 2.2] in the more particular ...
WebarXiv:2009.03524v3 [math.RA] 4 May 2024 CALABI-YAU PROPERTIES OF 3-DIMENSIONAL DG SKLYANIN ALGEBRAS X.-F. MAO, X.-T. WANG, Y.-N. YANG, … WebMay 15, 2014 · Twisted Calabi–Yau algebras are a generalisation of Ginzburg's notion of Calabi–Yau algebras. Such algebras A come equipped with a modular automorphism σ ∈ Aut (A), the case σ = id being precisely the original class of Calabi–Yau algebras. The aim of this paper is to give a concise proof of the fact that every twisted Calabi–Yau algebra …
WebOct 2, 2014 · The author wishes to thank Bernhard Keller for generously sharing his insights on Calabi-Yau algebras and in particular for explaining his strengthening of the Calabi … WebSep 8, 2024 · Calabi-Yau properties of. -dimensional DG Sklyanin algebras. In this paper, we compute all possible differential structures of a -dimensional DG Sklyanin algebra , …
WebFeb 11, 2024 · In particular, Ginzburg dg algebras have the Calabi-Yau property. We show that deformed 3-Calabi-Yau completions of algebras of global dimension at most 2 are quasi-isomorphic to Ginzburg dg ...
WebJul 26, 2024 · Abstract This is a general study of twisted Calabi–Yau algebras that are $\mathbb {N}$ -graded and locally finite-dimensional, with the following major results. We prove that a locally finite graded algebra is twisted Calabi–Yau if and only if it is separable modulo its graded radical and satisfies one of several suitable generalizations of the … جمع آوری اطلاعات صفحه ۳۶ علوم ششمWebJan 27, 2024 · The notion of Calabi-Yau algebra is an algebraic incarnation of the notion of Calabi-Yau manifold and higher algebra -version of the notion of Frobenius algebra. … جمع آوری اطلاعات صفحه 15 علوم پنجمWebDec 6, 2006 · Calabi-Yau algebras. We introduce some new algebraic structures arising naturally in the geometry of Calabi-Yau manifolds and mirror symmetry. We give a … جمع person به انگلیسیWebApr 28, 2024 · In this case, the AS-regular algebra is nothing but a Calabi-Yau algebra in the sense of Ginzburg (therefore, an AS-regular algebra is also called a twisted Calabi-Yau algebra in ). Then the isomorphism ( 1 ) may be interpreted as the isomorphism between the (derived) noncommutative tangent and cotangent complexes of A , which gives rise … جمس شفروليه 97WebMar 15, 2024 · There are cases of corresponding DG algebras whose Calabi-Yau properties one can't judge from their cohomology. For such kind of AO−1(k3)(M), we … جم صنعت سپاهانWebMay 24, 2024 · In brief, a DG down–up algebra (Formula presented.) is a connected cochain DG algebra such that its underlying graded algebra (Formula presented.) is a … جمع آوری اطلاعات صفحه 53 علوم ششمWebMar 27, 2024 · Recently, the constructions and studies on some specific family of connected cochain DG algebras have attracted much attention. In [5,6,7], DG down–up algebras, DG polynomial algebras and DG-free algebras are introduced and systematically studied, respectively.It is exciting to discover that non-trivial DG down–up algebras and DG free … جمس سييرا موديل 99