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dc.contributor.authorRoig Martí, Agustín
dc.contributor.authorCirici, Joana
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2017-03-01T12:38:54Z
dc.date.available2017-03-01T12:38:54Z
dc.date.issued2016-12-12
dc.identifier.citationRoig, A., Cirici, J. "Sullivan minimal models of operad algebras". 2016.
dc.identifier.urihttp://hdl.handle.net/2117/101791
dc.descriptionpreprint
dc.description.abstractWe prove the existence of Sullivan minimal models of operad algebras, for a quite wide family of operads in the category of complexes of vector spaces over a field of characteristic zero. Our construction is an adaptation of Sullivan’s original step by step construction to the setting of operad algebras. The family of operads that we consider includes all operads concentrated in degree 0 as well as their minimal models. In particular, this gives Sullivan minimal models for algebras over Com, Ass and Lie, as well as over their minimal models Com8, Ass8 and Lie8. Other interesting operads, such as the operad Ger encoding Gerstenhaber algebras, also fit in our study.
dc.format.extent18 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshAlgebra
dc.subject.otherSullivan minimal model
dc.subject.otheroperad
dc.subject.otheroperad algebra
dc.titleSullivan minimal models of operad algebras
dc.typeExternal research report
dc.subject.lemacÀlgebra
dc.contributor.groupUniversitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.relation.publisherversionhttps://arxiv.org/pdf/1612.03862.pdf
dc.rights.accessOpen Access
drac.iddocument19743929
dc.description.versionPreprint
upcommons.citation.authorRoig, A., Cirici, J.
upcommons.citation.publishedtrue


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