Disconnected rational homotopy theory
Algebraic Topology
2014-01-21 v2 Algebraic Geometry
Quantum Algebra
Abstract
We construct two algebraic versions of homotopy theory of rational disconnected topological spaces, one based on differential graded commutative associative algebras and the other one on complete differential graded Lie algebras. As an application of the developed technology we obtain results on the structure of Maurer-Cartan spaces of complete differential graded Lie algebras.
Cite
@article{arxiv.1305.1037,
title = {Disconnected rational homotopy theory},
author = {Andrey Lazarev and Martin Markl},
journal= {arXiv preprint arXiv:1305.1037},
year = {2014}
}
Comments
50 pages, a couple of typos corrected and references added