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Courant Algebroids. A Short History
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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Courant Algebroids. A Short History
Інший ID:
2010 Mathematics Subject Classification: 01A65; 53D17; 17B62; 17B66; 22A22; 53C15
DOI: http://dx.doi.org/10.3842/SIGMA.2013.014
DOI: http://dx.doi.org/10.3842/SIGMA.2013.014
Посилання:
Courant Algebroids. A Short History / Y. Kosmann-Schwarzbach // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 55 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Symmetries of Dif ferential Equations: Frames, Invariants
and Applications”. The full collection is available at http://www.emis.de/journals/SIGMA/SDE2012.html.
I wish to thank Alan Weinstein as well as Dmitry Roytenberg and Pavol Severa for their very ˇ
useful correspondence and discussions concerning their work on Courant algebroids. Thanks are
also due to Ted Voronov and to the referees for their constructive remarks that were incorporated
in the present version. This short history was begun as a memorandum written for Shlomo Sternberg, whom I thank for giving me the incentive to delve into some near-contemporary history.
Дата:
2013
Переглядів:
534
Завантажень:
254
Анотація:
The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a ''double'' for Lie bialgebroids led to the definition of Courant algebroids. We recount the emergence of these concepts.
