Characteristic classes of Lie algebroid morphisms

Izu Vaisman

doi:10.1016/j.difgeo.2010.01.001

Characteristic classes of Lie algebroid morphisms

Izu Vaisman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We extend R. Fernandes' construction of secondary characteristic classes of a Lie algebroid to the case of a base-preserving morphism between two Lie algebroids. Like in the case of a Lie algebroid, the simplest characteristic class of our construction coincides with the modular class of the morphism.

Original language	English
Pages (from-to)	635-647
Number of pages	13
Journal	Differential Geometry and its Application
Volume	28
Issue number	6
DOIs	https://doi.org/10.1016/j.difgeo.2010.01.001
State	Published - Dec 2010

Keywords

Lie algebroid morphism
Modular class
Secondary characteristic classes

ASJC Scopus subject areas

Analysis
Geometry and Topology
Computational Theory and Mathematics

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10.1016/j.difgeo.2010.01.001

Cite this

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title = "Characteristic classes of Lie algebroid morphisms",

abstract = "We extend R. Fernandes' construction of secondary characteristic classes of a Lie algebroid to the case of a base-preserving morphism between two Lie algebroids. Like in the case of a Lie algebroid, the simplest characteristic class of our construction coincides with the modular class of the morphism.",

keywords = "Lie algebroid morphism, Modular class, Secondary characteristic classes",

author = "Izu Vaisman",

year = "2010",

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AU - Vaisman, Izu

PY - 2010/12

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N2 - We extend R. Fernandes' construction of secondary characteristic classes of a Lie algebroid to the case of a base-preserving morphism between two Lie algebroids. Like in the case of a Lie algebroid, the simplest characteristic class of our construction coincides with the modular class of the morphism.

AB - We extend R. Fernandes' construction of secondary characteristic classes of a Lie algebroid to the case of a base-preserving morphism between two Lie algebroids. Like in the case of a Lie algebroid, the simplest characteristic class of our construction coincides with the modular class of the morphism.

KW - Lie algebroid morphism

KW - Modular class

KW - Secondary characteristic classes

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U2 - 10.1016/j.difgeo.2010.01.001

DO - 10.1016/j.difgeo.2010.01.001

M3 - Article

AN - SCOPUS:77955982070

SN - 0926-2245

VL - 28

SP - 635

EP - 647

JO - Differential Geometry and its Application

JF - Differential Geometry and its Application

IS - 6

ER -

Characteristic classes of Lie algebroid morphisms

Abstract

Keywords

ASJC Scopus subject areas

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