G-Invariant Deformations of Almost-Coupling Poisson Structures

On a foliated manifold equipped with an action of a compact Lie group G, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2017
Hauptverfasser: Vallejo, J.A., Vorobiev, Y.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2017
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/148597
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:G-Invariant Deformations of Almost-Coupling Poisson Structures / J.A. Vallejo, Y. Vorobiev // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Vallejo, J.A.
Vorobiev, Y.
author_facet Vallejo, J.A.
Vorobiev, Y.
citation_txt G-Invariant Deformations of Almost-Coupling Poisson Structures / J.A. Vallejo, Y. Vorobiev // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ.
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container_title Symmetry, Integrability and Geometry: Methods and Applications
description On a foliated manifold equipped with an action of a compact Lie group G, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging.
first_indexed 2025-12-07T16:29:56Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-07T16:29:56Z
publishDate 2017
publisher Інститут математики НАН України
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spelling Vallejo, J.A.
Vorobiev, Y.
2019-02-18T16:27:11Z
2019-02-18T16:27:11Z
2017
G-Invariant Deformations of Almost-Coupling Poisson Structures / J.A. Vallejo, Y. Vorobiev // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 53D17; 70G45; 58H15
DOI:10.3842/SIGMA.2014.021
https://nasplib.isofts.kiev.ua/handle/123456789/148597
On a foliated manifold equipped with an action of a compact Lie group G, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging.
We express our gratitude to the anonymous referees, whose detailed comments and criticism
 have greatly improved the contents of this paper. Also, we thank the organizers of the Gone
 Fishing Meeting at Berkeley (2015), for the opportunity of presenting and discussing some of
 the results exposed here. This work was partially supported by the Mexican National Council
 of Science and Technology (CONACyT), under research projects CB-2012-179115 (JAV) and
 CB-2013-219631 (YuV).
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
G-Invariant Deformations of Almost-Coupling Poisson Structures
Article
published earlier
spellingShingle G-Invariant Deformations of Almost-Coupling Poisson Structures
Vallejo, J.A.
Vorobiev, Y.
title G-Invariant Deformations of Almost-Coupling Poisson Structures
title_full G-Invariant Deformations of Almost-Coupling Poisson Structures
title_fullStr G-Invariant Deformations of Almost-Coupling Poisson Structures
title_full_unstemmed G-Invariant Deformations of Almost-Coupling Poisson Structures
title_short G-Invariant Deformations of Almost-Coupling Poisson Structures
title_sort g-invariant deformations of almost-coupling poisson structures
url https://nasplib.isofts.kiev.ua/handle/123456789/148597
work_keys_str_mv AT vallejoja ginvariantdeformationsofalmostcouplingpoissonstructures
AT vorobievy ginvariantdeformationsofalmostcouplingpoissonstructures