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
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2013年 / 103卷 / 01期
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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