Contact Courant algebroids and \(L_\infty\)-algebras. (English) Zbl 1466.53035
The notion of contact Courant algebroids (or \(L\)-Courant algebroids) was introduced by J. Grabowski as a contact analogue of classical Courant algebroids.
The association of a \(L\)-algebra to an arbitrary \(L\)-Courant algebroid is obtained. This association is an analogue of Roytenberg and Weinstein association for Courant algebroids.
Some important results for isotropic involutive subbundles of \(DL\) (here \(DL\) is the gauge algebroid of \(L\)) are also presented.
The association of a \(L\)-algebra to an arbitrary \(L\)-Courant algebroid is obtained. This association is an analogue of Roytenberg and Weinstein association for Courant algebroids.
Some important results for isotropic involutive subbundles of \(DL\) (here \(DL\) is the gauge algebroid of \(L\)) are also presented.
Reviewer: Mihail Banaru (Smolensk)
MSC:
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
| 53D10 | Contact manifolds (general theory) |
| 53D35 | Global theory of symplectic and contact manifolds |
Keywords:
\(L_\infty\)-algebras; \(L_\infty\)-morphisms; gauge algebroids; Courant algebroids; \(L\)-Courant algebroidsReferences:
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