WHAT IS THE HIGHER-DIMENSIONAL INFINITESIMAL GROUPOID OF A MANIFOLD?

被引：0
|
作者：
Borisov, Dennis [1 ]
机构：
[1] Max Planck Inst Math, D-53072 Bonn, Germany
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 90卷 / 02期
关键词：
Lie algebroid; Lie-Rinehart algebras; higher categories; polyvector fields;
D O I：
10.1017/S1446788711001248
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The construction (by Kapranov) of the space of infinitesimal paths on a manifold is extended to include higher-dimensional infinitesimal objects, encoding contractions of infinitesimal loops. This full infinitesimal groupoid is shown to have the algebra of polyvector fields as its nonlinear cohomology.
引用
收藏
页码：155 / 170
页数：16
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