Algebraic models of non-connected spaces and homotopy theory of L∞ algebras

被引：17
|
作者：
Buijs, Urtzi [1 ]
Murillo, Aniceto [2 ]
机构：
[1] Catholic Univ Louvain, Inst Math, B-1348 Louvain, Belgium
[2] Univ Malaga, Dept Algebra Geometria & Topol, Malaga 29080, Spain
来源：
ADVANCES IN MATHEMATICS | 2013年 / 236卷
关键词：
Rational homotopy theory; Algebraic models of non-connected spaces; L-infinity-algebras; Maurer-Cartan set; RATIONAL HOMOTOPY; DEFORMATION; SECTIONS;
D O I：
10.1016/j.aim.2012.12.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop a homotopy theory of L-infinity algebras based on the Lawrence-Sullivan construction, a complete differential graded Lie algebra which, as we show, satisfies the necessary properties to become the right cylinder in this category. As a result, we obtain a general procedure to algebraically model the rational homotopy type of non-connected spaces. (c) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：60 / 91
页数：32
相关论文
共 46 条
12345