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Maurer–Cartan moduli and models for function spaces

Research output: Contribution to journalJournal article

Published

Journal publication date1/03/2013
JournalAdvances in Mathematics
Volume235
Number of pages25
Pages296-320
Original languageEnglish

Abstract

We set up a formalism of Maurer–Cartan moduli sets for L∞ 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.