Graded manifolds of type Δ and n-fold vector bundles

Elizaveta Vishnyakova

Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/37638

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DC Field	Value	Language
dc.creator	Elizaveta Vishnyakova	pt_BR
dc.date.accessioned	2021-08-19T22:07:51Z	-
dc.date.available	2021-08-19T22:07:51Z	-
dc.date.issued	2019-02	-
dc.citation.volume	109	pt_BR
dc.citation.issue	2	pt_BR
dc.citation.spage	243	pt_BR
dc.citation.epage	293	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s11005-018-1105-9	pt_BR
dc.identifier.issn	Electronic ISSN 1573-0530 - Print ISSN 0377-9017	pt_BR
dc.identifier.uri	http://hdl.handle.net/1843/37638	-
dc.description.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.	pt_BR
dc.description.sponsorship	FAPESP - Fundação de Amparo à Pesquisa do Estado de São Paulo	pt_BR
dc.language	eng	pt_BR
dc.publisher	Universidade Federal de Minas Gerais	pt_BR
dc.publisher.country	Brasil	pt_BR
dc.publisher.department	ICX - DEPARTAMENTO DE MATEMÁTICA	pt_BR
dc.publisher.initials	UFMG	pt_BR
dc.relation.ispartof	Letters in Mathematical Physics	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.subject	Graded manifold	pt_BR
dc.subject	Lie algebroid	pt_BR
dc.subject	Double vector bundle	pt_BR
dc.subject.other	Supervariedades (Matemática)	pt_BR
dc.subject.other	Lie, Superálgebras de	pt_BR
dc.subject.other	Campos vetoriais	pt_BR
dc.title	Graded manifolds of type Δ and n-fold vector bundles	pt_BR
dc.type	Artigo de Periódico	pt_BR
dc.url.externa	https://link.springer.com/article/10.1007/s11005-018-1105-9	pt_BR
Appears in Collections:	Artigo de Periódico

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