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

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2003年 / 19卷 / 02期

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

页码：223 / 243

页数：21

共 35 条

[21]

Huebschmann J, 1999, J REINE ANGEW MATH, V510, P103

[22] Bott's vanishing theorem for regular Lie algebroids [J].

Kubarski, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 348 (06) :2151-2167

[23]

KUBARSKI J, 1993, REND CIRC MAT PALE S, V30, P71

[24]

Mackenzie K., 1987, LONDON MATH SOC LECT, V124

[25] LIE ALGEBROIDS AND LIE PSEUDOALGEBRAS [J].

MACKENZIE, KCH .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1995, 27 :97-147

[26] Integration of Lie bialgebroids [J].

Mackenzie, KCH ;

Xu, P .

TOPOLOGY, 2000, 39 (03) :445-467

[27] Groupoids and the integration of Lie algebroids [J].

Nistor, V .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2000, 52 (04) :847-868

[28] SUPERCONNECTIONS AND THE CHERN CHARACTER [J].

QUILLEN, D .

TOPOLOGY, 1985, 24 (01) :89-95

[29] ORBITS OF FAMILIES OF VECTOR FIELDS AND INTEGRABILITY OF DISTRIBUTIONS [J].

SUSSMANN, HJ .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 180 (JUN) :171-188

[30] ON THE GEOMETRIC-QUANTIZATION OF POISSON MANIFOLDS [J].

VAISMAN, I .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (12) :3339-3345

← 1 2 3 4 →