L -infinity maps and twistings

Chuang, Joseph and Lazarev, Andrey (2011) L -infinity maps and twistings. Homology, Homotopy and Applications, 13 (2). pp. 175-195. ISSN 1532-0073

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Abstract

We give a construction of an L∞ map from any L∞ algebra into its truncated Chevalley-Eilenberg complex as well as its cyclic and A∞ analogues. This map fits with the inclusion into the full Chevalley-Eilenberg complex (or its respective analogues) to form a homotopy fiber sequence of L∞ algebras. Applications to deformation theory and graph homology are given. We employ the machinery of Maurer-Cartan functors in L∞ and A∞ algebras and associated twistings which should be of independent interest.

Item Type:
Journal Article
Journal or Publication Title:
Homology, Homotopy and Applications
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
ID Code:
59752
Deposited By:
Deposited On:
02 Nov 2012 11:01
Refereed?:
Yes
Published?:
Published
Last Modified:
11 Jun 2020 02:28