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The shifted Poisson structure on derived representation schemes of Koszul Calabi-Yau algebras
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 59, Issue 5, Pages: 1-18(2020)
- 作者机构：
1.四川大学数学学院，四川 成都 610064
2.重庆理工大学理学院，重庆 400054
3.托莱多大学数学与统计系，美国俄亥俄州托莱多 43606
4.首都师范大学北京成像理论与技术高精尖创新中心，北京 100048
- 作者简介：
- 基金信息：
DOI：10.13471/j.cnki.acta.snus.2020.03.04.2020A009
CLC： O186Published：25 September 2020，
Received：04 March 2020，
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陈小俊,陈友明.卡拉比-丘代数的导出表示概型与平移泊松结构[J].中山大学学报(自然科学版),2020,59(05):1-18.
CHEN Xiaojun,CHEN Youming.The shifted Poisson structure on derived representation schemes of Koszul Calabi-Yau algebras[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(05):1-18.
陈小俊,陈友明.卡拉比-丘代数的导出表示概型与平移泊松结构[J].中山大学学报(自然科学版),2020,59(05):1-18. DOI： 10.13471/j.cnki.acta.snus.2020.03.04.2020A009.
CHEN Xiaojun,CHEN Youming.The shifted Poisson structure on derived representation schemes of Koszul Calabi-Yau algebras[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(05):1-18. DOI： 10.13471/j.cnki.acta.snus.2020.03.04.2020A009.
摘要
导出非交换代数几何是目前数学领域最活跃的分支之一。撷取近年来人们在这一领域里的几个结果向读者作简单介绍，内容侧重于介绍导出的非交换辛结构、非交换泊松结构，以及它们与卡拉比-丘代数和卡拉比-丘范畴之间的关系。
Abstract
Derived noncommutative algebraic geometry is one of the most active research fields in mathematics.Several important results that mathematicians have obtained in this field are reviewed，with an emphasis on the derived noncommutative symplectic structure，noncommutative Poisson structure，and their relationships with Calabi-Yau algebras and Calabi-Yau categories.
关键词
导出非交换几何非交换泊松结构非交换辛结构卡拉比-丘范畴
Keywords
derived noncommutative geometrynoncommutative Poisson structurenoncommutative symplectic structureCalabi-Yau category
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