Combinatorics and Formal Geometry of the Maurer-Cartan Equation

被引:9
|
作者
Chuang, Joseph [1 ]
Lazarev, Andrey [2 ]
机构
[1] City Univ London, Ctr Math Sci, London EC1V 0HB, England
[2] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England
基金
英国工程与自然科学研究理事会;
关键词
differential graded Lie algebra; Maurer-Cartan element; A-infinity algebra; L-infinity algebra; operad; twisting; OPERADS; DUALITY;
D O I
10.1007/s11005-012-0586-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We give a general treatment of the Maurer-Cartan equation in homotopy algebras and describe the operads and formal differential geometric objects governing the corresponding algebraic structures. We show that the notion of Maurer-Cartan twisting is encoded in certain automorphisms of these universal objects.
引用
收藏
页码:79 / 112
页数:34
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