Chuang, Joseph and Lazarev, Andrey (2011) L -infinity maps and twistings. Homology, Homotopy and Applications, 13 (2). pp. 175-195. ISSN 1532-0073
Full text not available from this repository.Official URL: http://dx.doi.org/10.4310/HHA.2011.v13.n2.a12
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: | Article |
|---|---|
| Journal or Publication Title: | Homology, Homotopy and Applications |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 59752 |
| Deposited By: | ep_importer_pure |
| Deposited On: | 02 Nov 2012 11:01 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 02 Nov 2012 11:01 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/59752 |
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