Maurer–Cartan moduli and models for function spaces

Lazarev, Andrey (2013) Maurer–Cartan moduli and models for function spaces. Advances in Mathematics, 235. pp. 296-320. ISSN 0001-8708

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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.

Item Type:
Journal Article
Journal or Publication Title:
Advances in Mathematics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
ID Code:
61549
Deposited By:
Deposited On:
08 Jan 2013 13:28
Refereed?:
Yes
Published?:
Published
Last Modified:
08 Jul 2020 03:27