Coformality and rational homotopy groups of spaces of long knots

被引：0

作者：

Arone, Greg ^{[1
]}

Lambrechts, Pascal ^{[2
]}

Turchin, Victor ^{[2
,3
]}

Volic, Ismar ^{[4
]}

机构：

[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

[2] Catholic Univ Louvain, Inst Math, B-1348 Louvain, Belgium

[3] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA

[4] Wellesley Coll, Dept Math, Wellesley, MA 02481 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2008年 / 15卷 / 01期

关键词：

knot spaces; embedding calculus; formality; operads; Bousfield-Kan spectral sequence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Bousfield-Kan spectral sequence which computes the rational homotopy groups of the space of long knots in R-d for d >= 4 collapses at the E 2 page. The main ingredients in the proof are Sinha's cosimplicial model for the space of long knots and a coformality result for the little balls operad.

引用

页码：1 / 14

页数：14

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