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Sullivan minimal models of operad algebras

Author
Roig, A.; Cirici, J.
Type of activity
Report
Date
2016-12-12
Repository
http://hdl.handle.net/2117/101791 Open in new window
URL
https://arxiv.org/pdf/1612.03862.pdf Open in new window
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, A...
Citation
Roig, A., Cirici, J. "Sullivan minimal models of operad algebras". 2016.
Keywords
Sullivan minimal model, operad, operad algebra
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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