Maurer-Cartan moduli and models for function spaces
Algebraic Topology
2012-12-11 v2 Algebraic Geometry
Quantum Algebra
Abstract
We set up a formalism of Maurer-Cartan moduli sets for L-infinity algebras and associated twistings based on the closed model category structure on formal differential graded algebras (a.k.a. differential graded coalgebras). Among other things this formalism allows us to give a compact and manifestly homotopy invariant treatment of Chevalley-Eilenberg and Harrison cohomology. We apply the developed technology to construct rational homotopy models for function spaces.
Keywords
Cite
@article{arxiv.1109.3715,
title = {Maurer-Cartan moduli and models for function spaces},
author = {Andrey Lazarev},
journal= {arXiv preprint arXiv:1109.3715},
year = {2012}
}
Comments
22 pages. This version, which will appear in Advances in Mathematics, contains various technical corrections and updated bibliography