Pontryagin algebra of a transitive Lie algebroid

Kubarski, Jan

  • Proceedings of the Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [117]-126

Abstract

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[For the entire collection see Zbl 0699.00032.] It was previously known that for every principal fibre bundle P there is some corresponding transitive Lie algebroid A(P) - a vector bundle equipped with some structure like the structure of a Lie algebra in the module of sections. The author of this article shows that the Chern-Weil homomorphism of P is a notion of the Lie algebroid of P, i.e. knowing only A(P) of P one can uniquely reproduce the ring of invariant polynomials ( V g * ) I and the Chern-Weil homomorphism: h p : ( V g * ) I → ℋ ( M ) .

How to cite

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Kubarski, Jan. "Pontryagin algebra of a transitive Lie algebroid." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1990. [117]-126. <http://eudml.org/doc/220802>.

@inProceedings{Kubarski1990,
abstract = {[For the entire collection see Zbl 0699.00032.] It was previously known that for every principal fibre bundle P there is some corresponding transitive Lie algebroid A(P) - a vector bundle equipped with some structure like the structure of a Lie algebra in the module of sections. The author of this article shows that the Chern-Weil homomorphism of P is a notion of the Lie algebroid of P, i.e. knowing only A(P) of P one can uniquely reproduce the ring of invariant polynomials $(Vg^*)_I$ and the Chern-Weil homomorphism: $h^p: (Vg^*)_I\rightarrow \{\mathcal \{H\}\}(M)$.},
author = {Kubarski, Jan},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Geometry; Physics; Proceedings; Winter school; Srní (Czechoslovakia)},
location = {Palermo},
pages = {[117]-126},
publisher = {Circolo Matematico di Palermo},
title = {Pontryagin algebra of a transitive Lie algebroid},
url = {http://eudml.org/doc/220802},
year = {1990},
}

TY - CLSWK
AU - Kubarski, Jan
TI - Pontryagin algebra of a transitive Lie algebroid
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1990
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [117]
EP - 126
AB - [For the entire collection see Zbl 0699.00032.] It was previously known that for every principal fibre bundle P there is some corresponding transitive Lie algebroid A(P) - a vector bundle equipped with some structure like the structure of a Lie algebra in the module of sections. The author of this article shows that the Chern-Weil homomorphism of P is a notion of the Lie algebroid of P, i.e. knowing only A(P) of P one can uniquely reproduce the ring of invariant polynomials $(Vg^*)_I$ and the Chern-Weil homomorphism: $h^p: (Vg^*)_I\rightarrow {\mathcal {H}}(M)$.
KW - Geometry; Physics; Proceedings; Winter school; Srní (Czechoslovakia)
UR - http://eudml.org/doc/220802
ER -

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