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    Rights statement: This is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Advances in Mathematics, 283, 2015 DOI: 10.1016/j.aim.2015.07.009

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Disconnected rational homotopy theory

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>1/10/2015
<mark>Journal</mark>Advances in Mathematics
Volume283
Number of pages59
Pages (from-to)303-361
Publication StatusPublished
Early online date31/07/15
<mark>Original language</mark>English

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.

Bibliographic note

This is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Advances in Mathematics, 283, 2015 DOI: 10.1016/j.aim.2015.07.009