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

页码：2477 / 2545

页数：69

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