Sullivan minimal models of operad algebras

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Títol:	Sullivan minimal models of operad algebras
Autor/a:	Cirici, Joana; Roig Martí, Agustín
Altres autors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
Abstract:	We 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 ¿eld 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, andLie, as well as over their minimal modelsCom1, Ass1, andLie1. Other interesting operads, such as the operad Ger encoding Gerstenhaber algebras, also ¿t in our study.
Abstract:	Peer Reviewed
Matèries:	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Algebra -Minimal models -rational homotopy -operad algebras -Àlgebra -Classificació AMS::18 Category theory; homological algebra::18D Categories with structure -Classificació AMS::55 Algebraic topology::55P Homotopy theory
Drets:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipus de document:	Article - Versió presentada Article
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