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

页码：60 / 91

页数：32

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