Calabi-Yau categoryWe prove a structure theorem for triangulated Calabi–Yau categories: an algebraic 2-Calabi–Yau triangulated category over an algebraically closed field is a cluster category if and only if it contains a cluster-tilting subcategory whose quiver has no oriented cycles. We prove ...
On the structure of Calabi-Yau categories with a cluster tilting subcategory, preprint - Tabuada - 2006 () Citation Context ...on and 危 the suspension of Df(kQ). For some recent developments around cluster categories and u-cluster categories, see for instance [3], [4], [6], [7], ...
One of the highlights is that by these methods, each Poincare duality space gives rise to a Calabi-Yau category. This paper is a review of the theory. DOI: 10.48550/arXiv.0801.2052 被引量: 18 年份: 2008 收藏 引用 批量引用 报错 分享 ...
Calabi-Yau category 来自 ncatlab.org 喜欢 0 阅读量: 104 作者: CY Object 摘要: This is the sequel to my preprint "TCFTs and Calabi-Yau categories", . Here we extend the results of that paper to construct, for certain Calabi-Yau A-infinity categories, something playing the role of the ...
We take cohomology objects with respect to the natural t-structure on the derived category of mixed Hodge modules, which is a lift of the perverse t-structure on the underlying constructible complex, and we deduce (from a result of Deligne [51]) that the underlying perverse cohomology sheaves...
We give a topological model for the finite dimensional derived category of the Calabi-Yau-X completion of a graded gentle algebra, via a graded decorated marked surface. We show a bijection between double graded closed arcs on the surface and X-spherical objects in the category, and an equalit...
当(X,f) 是associate to Lefschetz fibration π:X→C 的stopped Liouville domain时, F 是π 的fiber,而 F(X,f) 是Fukaya-Seidel category F(π) 。此时上述猜想已经被Katzarkov-Pandit-Spaide证明:Calabi-Yau Structures, Spherical Functors, and Shifted Symplectic Structures。 猜想2 OI 是relative Calabi...
One of the highlights is that by these methods, each Poincare duality space gives rise to a Calabi-Yau category. This paper is a review of the theory. 关键词: Mathematics - Representation Theory Mathematics - Algebraic Topology Mathematics - Rings and Algebras 16E45 16G70 55P62 DOI: 10.4171...
The main result is a general construction of a fractional Calabi-Yau category from a rectangular Lefschetz decomposition and a spherical functor. We give many examples of application of this construction and discuss some general properties of Calabi-Yau categories....
The properties of the preprojective algebra are very di fferent whether the associated quiver is of Dynkin type or not. However in both cases, one can construct from it a triangulated category of Calabi-Yau dimension 2. In this note we explain the generalizations of this fact in the context...