Enhanced finite triangulated categories

We give a necessary and sufficient condition for the existence of an enhancement of a finite triangulated category. Moreover, we show that enhancements are unique when they exist, up to Morita equivalence.

Detalles Bibliográficos
Autor: Muro Jiménez, Fernando
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/178223
Acceso en línea:https://hdl.handle.net/11441/178223
https://doi.org/10.1017/S1474748020000250
Access Level:acceso abierto
Palabra clave:Triangulated category
A-infinity category
Hochschild cohomology
Spectral sequence
Obstruction theory
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spelling Enhanced finite triangulated categoriesMuro Jiménez, FernandoTriangulated categoryA-infinity categoryHochschild cohomologySpectral sequenceObstruction theoryWe give a necessary and sufficient condition for the existence of an enhancement of a finite triangulated category. Moreover, we show that enhancements are unique when they exist, up to Morita equivalence.Cambridge University PressÁlgebraFQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/178223https://doi.org/10.1017/S1474748020000250reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)Inglés10.1017/S1474748020000250info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1782232026-06-17T12:51:07Z
dc.title.none.fl_str_mv Enhanced finite triangulated categories
title Enhanced finite triangulated categories
spellingShingle Enhanced finite triangulated categories
Muro Jiménez, Fernando
Triangulated category
A-infinity category
Hochschild cohomology
Spectral sequence
Obstruction theory
title_short Enhanced finite triangulated categories
title_full Enhanced finite triangulated categories
title_fullStr Enhanced finite triangulated categories
title_full_unstemmed Enhanced finite triangulated categories
title_sort Enhanced finite triangulated categories
dc.creator.none.fl_str_mv Muro Jiménez, Fernando
author Muro Jiménez, Fernando
author_facet Muro Jiménez, Fernando
author_role author
dc.contributor.none.fl_str_mv Álgebra
FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía
dc.subject.none.fl_str_mv Triangulated category
A-infinity category
Hochschild cohomology
Spectral sequence
Obstruction theory
topic Triangulated category
A-infinity category
Hochschild cohomology
Spectral sequence
Obstruction theory
description We give a necessary and sufficient condition for the existence of an enhancement of a finite triangulated category. Moreover, we show that enhancements are unique when they exist, up to Morita equivalence.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/178223
https://doi.org/10.1017/S1474748020000250
url https://hdl.handle.net/11441/178223
https://doi.org/10.1017/S1474748020000250
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv 10.1017/S1474748020000250
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812455

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