Homogeneous spaces, multi-moment maps and (2,3)-trivial algebras

T. B. Madsen, A. Swann

Publikation: Kapitel i bog/rapport/konference-proceedingKapitel i bogForskningpeer review

Abstract

For geometries with a closed three-form we briefly overview the notion of multi-moment maps. We then give concrete examples of multi-moment maps for homogeneous hypercomplex and nearly Kahler manifolds. A special role in the theory is played by Lie algebras with second and third Betti numbers equal to zero. These we call (2,3)-trivial. We provide a number of examples of such algebras including a complete list in dimensions up to and including five.
OriginalsprogEngelsk
TitelXix International Fall Workshop on Geometry and Physics
RedaktørerC. Herdeiro, R. Picken
Antal sider12
Vol/bind1360
ForlagAmerican Institute of Physics
Publikationsdato2011
Sider51-62
ISBN (Trykt)978-0-7354-0918-7
StatusUdgivet - 2011
NavnAIP Conference Proceedings
ISSN0094-243X

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