Richard Eager and Ingmar Saberi. Holomorphic field theories and Calabi-Yau algebras. Available at https://arxiv.org/abs/1805.02084 .Richard Eager and Ingmar Saberi. Holomorphic field theories and Calabi-Yau algebras. Available at https: //arxiv.org/abs/1805.02084.R. Eager and I. Saberi, ...
Taillefer, "Poincare-Birkhoff- Witt deformations of Calabi-Yau algebras", J. Noncommut. Geom., vol. 1, pp. 241-270, 2007.R. Berger, R. Taillefer, Poincare-Birkhoff-Witt deformations of Calabi-Yau Algebras, J. Noncommut. Geom. 1 (2007) 241-270....
Mariano Suárez-AlvarezM. Suarez-Alvarez, "Untwisting algebras with van den Bergh duality into Calabi-Yau alge- bras", arXiv:1311.3339v1, 2013.Mariano Suarez-Alvarez. Untwisting algebras with van den bergh duality into calabi-yau algebras. arXiv:1311.3339 [math.KT]....
此猜想是受Van den Bergh的重要工作Calabi-Yau algebras and superpotentials的启发。当然,此时同样可以考虑上述猜想的deformed版本。 猜想5 当W(F)≅Πn−1(F(X,f)) 时,Orlov restriction functor OR 和Orlov inclusion functor OI 上的relative Calabi-Yau structure之间通过Koszul duality互相联系。特别地,此时...
Given algebras or categories A and B, we denote by \operatorname{\mathbf{Mod}}_{A} the category of right A-modules, \operatorname{\mathbf{Mod}}^{A} the category of left A-modules, and \operatorname{\mathbf{Mod}}_{B}^{A} the category of (A,B)-bimodules.Footnote 3 We denote by...
algebras【BTI.Applythe aboveresulttothe 第一章 引言 1.1在1954年的国际数学家大会的报告中,几何学家ECalabi猜测存在一类特殊 的K萏hler流形,其Ricci曲率等于零[c村1977年,丘成桐(YauShing-Tung)i仟明了这 猜想[Yau],此后,这类流形被称作Calabi.Yau流形物理卜,Calabi—Yau紧致化 ...
As applications, we study the Calabi-Yau property of a connected cochain DG algebra A when H ( A ) belongs to certain types of 3-Calabi-Yau graded algebras.doi:10.1080/00927872.2018.1555838X.-F. MaoY.-N. YangC.-C. YeCommunications in Algebra...
Calabi-Yau Nichols algebras of Hecke type 来自 arXiv.org 喜欢 0 阅读量: 33 作者:X Yu,Y Zhang 摘要: Let $R$ be a Nichols algebra of Hecke type. In this paper, we show that if $R$ is Noetherian and of finite global dimension, then $R$ has a rigid dualizing complex. We then give...
Smash products of Calabi-Yau algebras by Hopf algebras Let H be a Hopf algebra and A be an H-module algebra. This article investigates when the smash product A#H is (skew) Calabi-Yau, has Van den Bergh duality ... M Le,Patrick - 《Journal of Noncommutative Geometry》 被引量: 0发表...
Dimer models have been used in string theory to construct path algebras with relations that are 3-dimensional Calabi-Yau Algebras. These constructions result in algebras that share some specific properties: they are finitely generated modules over their