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	Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids
	Lang, Honglei ; Sheng, Yunhe ; Xu, Xiaomeng
	2017
关键词	L-infinity-algebras Lie 2-algebras Homotopy Poisson manifolds Courant algebroids Symplectic NQ-manifolds Maurer-Cartan elements BIALGEBROIDS GEOMETRY QUASI REDUCTION BRACKETS
英文摘要	We study Maurer-Cartan elements on homotopy Poisson manifolds of degree n. They unify many twisted or homotopy structures in Poisson geometry and mathematical physics, such as twisted Poisson manifolds, quasi-Poisson -manifolds, and twisted Courant algebroids. Using the fact that the dual of an n-term -algebra is a homotopy Poisson manifold of degree , we obtain a Courant algebroid from a 2-term -algebra via the degree 2 symplectic NQ-manifold . By integrating the Lie quasi-bialgebroid associated to the Courant algebroid, we obtain a Lie-quasi-Poisson groupoid from a 2-term -algebra, which is proposed to be the geometric structure on the dual of a Lie 2-algebra. These results lead to a construction of a new 2-term -algebra from a given one, which could produce many interesting examples.; NSFC [11101179, 11471139]; NSF of Jilin Province [20140520054JH]; SNSF [P2GEP2-165118]; NCCR SwissMAP; SCI(E); ARTICLE; 5; 861-885; 107
语种	英语
出处	SCI
出版者	LETTERS IN MATHEMATICAL PHYSICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/473811]
专题	数学科学学院
推荐引用方式 GB/T 7714	Lang, Honglei,Sheng, Yunhe,Xu, Xiaomeng. Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids. 2017-01-01.

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