Swiss-cheese action on the totalization of action-operads

被引：5

作者：

Ducoulombier, Julien ^{[1
]}

机构：

[1] Univ Paris 13, CNRS, LAGA, UMR 7539, 99 Ave Jean Batiste Clement, F-93430 Villetaneuse, France

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2016年 / 16卷 / 03期

关键词：

RESOLUTION; HOMOLOGY;

D O I：

10.2140/agt.2016.16.1683

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if a pair of semi-cosimplicial spaces (X-c(center dot); X-o(center dot)) arise from a coloured operad then the semitotalization sTot(X-o(center dot)) has the homotopy type of a relative double loop space and the pair (sTot(X-c(center dot)),sTot(X-o(center dot))) is weakly equivalent to an explicit algebra over the two dimensional Swiss-cheese operad SC2.

引用

页码：1683 / 1726

页数：44

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