Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/132045
Title: | Sullivan minimal models of operad algebras |
Author: | Cirici, Joana Roig, Agustí |
Keywords: | Àlgebra homològica Teoria de l'homotopia Homological algebra Homotopy theory |
Issue Date: | 2019 |
Publisher: | Universitat Autònoma de Barcelona |
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 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 Com∞, Ass∞, and Lie∞. Other interesting operads, such as the operad Ger encoding Gerstenhaber algebras, also fit in our study. |
Note: | Reproducció del document publicat a: https://doi.org/10.5565/PUBLMAT6311904 |
It is part of: | Publicacions Matemàtiques, 2019, vol. 63, num. 1, p. 125-154 |
URI: | http://hdl.handle.net/2445/132045 |
Related resource: | https://doi.org/10.5565/PUBLMAT6311904 |
ISSN: | 0214-1493 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
682342.pdf | 475.29 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.