Calabi-yau properties of down-up dg algebras
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 various homological properties of such DG algebras. We find some examples, which indicate that the cohomology graded algebras of such kind of DG algebras may be not left (right ... 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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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, … WebFeb 11, 2024 · down-up algebras and non-trivial DG polynomial algebras are proved Calabi-Yau, respectively. CONTACT Xuefeng Mao [email protected] …
WebJan 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. … WebWe describe all possible differential structures on Noetherian DG down–up algebras. For those Noetherian DG down-up algebras with nonzero differential, we compute their DG …
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 ... WebJun 29, 2024 · So, are both of these definitions of Calabi-Yau compatible? Due to the work of Costello , that would be required for the above construction to actually define a TCFT, and it is often stated it actually does - however I have never actually seen …
WebMar 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 …
Webunder technical hypotheses on Calabi-Yau algebras Aand H, A#His Calabi-Yau if and only if the homological determinant of the H-action on Ais trivial. However, the smash product A#Hmay be Calabi-Yau even when Ais not Calabi-Yau; see, for instance, Example 1.6 below. In order to explain this phenomenon, it is natural to look into a broader class ... smith and wesson generatorsWebMarch 14, 2024 10:19 WSPC/S0219-4988 171-JAA 1850090 Journal of Algebra and Its Applications Vol. 17, No. 5 (2024) 1850090 (45 pages) c World Scientific Publishing … ritemed ownerWebCALABI-YAU ALGEBRAS VICTOR GINZBURG Abstract. We introduce some new algebraic structures arising naturally in the geom-etry of CY manifolds and mirror … ritemed song lyricsWebfd(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 ... smith and wesson governor 45 coltWebarXiv:math/0604596v4 [math.AG] 14 May 2007 smith and wesson gen 3 pistolsWebApr 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 … ritemed songWebMay 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 … smith and wesson governor ammo