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

页码：155 / 170

页数：16

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