Deformation theory and Lie algebra homology .1.

被引：0

作者：

Hinich, V ^{[1
]}

Schechtman, V ^{[1
]}

机构：

[1] SUNY STONY BROOK,DEPT MATH,STONY BROOK,NY 11794

来源：

ALGEBRA COLLOQUIUM | 1997年 / 4卷 / 02期

关键词：

formal moduli; dg Lie algebroids; twisted enveloping algebra; Lie algebra homology;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A description of a ring of functions on the base of a universal formal deformation for several moduli problems is given. The answer is given in terms of a homology group of a certain dg Lie algebra associated to a problem. In part I, for any dg Lie algebroid A on a differentially smooth locally ringed space X, a canonical map (connecting morphism) from the sheaf of differential operators Diff(X) to the homology of the dg Lie algebra ker(A --> T-X) is constructed.

引用

页码：213 / 240

页数：28