Invariants of Lie algebroids

被引:7
作者
Fernandes, RL [1 ]
机构
[1] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1049001 Lisbon, Portugal
关键词
Lie algebroid; holonomy; characteristic classes; monodromy;
D O I
10.1016/S0926-2245(03)00032-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Several new invariants of Lie algebroids have been discovered recently. We give an overview of these invariants and establish several relationships between them. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:223 / 243
页数:21
相关论文
共 35 条
[1]  
Bott R., 1972, LECT NOTES MATH, V279
[2]  
Cannas da Silva A, 1999, BERKELEY MATH LECT, V10
[3]  
Cattaneo AS, 2001, PROG MATH, V198, P61
[4]   CHARACTERISTIC FORMS AND GEOMETRIC INVARIANTS [J].
CHERN, SS ;
SIMONS, J .
ANNALS OF MATHEMATICS, 1974, 99 (01) :48-69
[5]   Integrability of Lie brackets [J].
Crainic, M ;
Fernandes, RL .
ANNALS OF MATHEMATICS, 2003, 157 (02) :575-620
[6]  
CRAINIC M, MATHDG0010085
[7]  
CRAINIC M, MATHDG0210152
[8]  
CRAINIC M, IN PRESS COMM MATH H
[9]   A SYMPLECTIC INTEGRATION OF A REGULAR POISSON MANIFOLDS [J].
CUESTA, FA ;
HECTOR, G .
ISRAEL JOURNAL OF MATHEMATICS, 1995, 90 (1-3) :125-165
[10]  
DAZORD P, 1991, MATH SCI R, V20, P37