Odd Jacobi Manifolds: General Theory and Applications to Generalised Lie Algebroids

• Autores: Andrew James Bruce
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 27, Nº 1, 2012, págs. 91-123
• Idioma: inglés
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• Resumen

  • In this paper we de ne a Grassmann odd analogue of Jacobi structure on a supermanifold. The basic properties are explored. The construction of odd Jacobi manifolds is then used to reexamine the notion of a Jacobi algebroid. It is shown that Jacobi algebroids can be understood in terms of a kind of curved Q-manifold, which we will refer to as a quasi Q-manifold.