Real homotopy theory of semi-algebraic sets

被引：22
|
作者：
Hardt, Robert [1 ]
Lambrechts, Pascal
Turchin, Victor
Volic, Ismar
机构：
[1] Rice Univ, Dept Math, Houston, TX 77005 USA
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2011年 / 11卷 / 05期
基金：
美国国家科学基金会;
关键词：
OPERADS;
D O I：
10.2140/agt.2011.11.2477
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We complete the details of a theory outlined by Kontsevich and Soibelman that associates to a semi-algebraic set a certain graded commutative differential algebra of "semi-algebraic differential forms" in a functorial way. This algebra encodes the real homotopy type of the semi-algebraic set in the spirit of the de Rham algebra of differential forms on a smooth manifold. Its development is needed for Kontsevich's proof of the formality of the little cubes operad.
引用
收藏
页码：2477 / 2545
页数：69
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