Graded manifolds of type Δ and n-fold vector bundles

Elizaveta Vishnyakova

Use este identificador para citar ou linkar para este item: http://hdl.handle.net/1843/37638

Tipo:	Artigo de Periódico
Título:	Graded manifolds of type Δ and n-fold vector bundles
Autor(es):	Elizaveta Vishnyakova
Resumo:	Vector bundles and double vector bundles, or twofold vector bundles, arise naturally for instance as base spaces for algebraic structures such as Lie algebroids, Courant algebroids and double Lie algebroids. It is known that all these structures possess a unified description using the language of supergeometry and Z-graded manifolds of degree ≤2. Indeed, a link has been established between the super and classical pictures by the geometrization process, leading to an equivalence of the category of Z-graded manifolds of degree ≤2 and the category of (double) vector bundles with additional structures. In this paper we study the geometrization process in the case of Zr-graded manifolds of type Δ, where Δ is a certain weight system and r is the rank of Δ. We establish an equivalence between a subcategory of the category of n-fold vector bundles and the category of graded manifolds of type Δ.
Assunto:	Supervariedades (Matemática) Lie, Superálgebras de Campos vetoriais
Idioma:	eng
País:	Brasil
Editor:	Universidade Federal de Minas Gerais
Sigla da Instituição:	UFMG
Departamento:	ICX - DEPARTAMENTO DE MATEMÁTICA
Tipo de Acesso:	Acesso Restrito
Identificador DOI:	https://doi.org/10.1007/s11005-018-1105-9
URI:	http://hdl.handle.net/1843/37638
Data do documento:	Fev-2019
metadata.dc.url.externa:	https://link.springer.com/article/10.1007/s11005-018-1105-9
metadata.dc.relation.ispartof:	Letters in Mathematical Physics
Aparece nas coleções:	Artigo de Periódico

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