Article (Scientific journals)
Maurer-Cartan spaces of filtered L-infinity algebras
Yalin, Sinan
2015In Journal of Homotopy and Related Structures
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Keywords :
L-infinity algebras; Maurer-Cartan spaces; deformation theory
Abstract :
[en] We study several homotopical and geometric properties of Maurer- Cartan spaces for L-infinity algebras which are not nilpotent, but only filtered in a suitable way. Such algebras play a key role especially in the deformation theory of algebraic structures. In particular, we prove that the Maurer-Cartan simplicial set preserves fibrations and quasi-isomorphisms. Then we present an algebraic geometry viewpoint on Maurer-Cartan moduli sets, and we compute the tangent complex of the associated algebraic stack.
Disciplines :
Mathematics
Author, co-author :
Yalin, Sinan ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Maurer-Cartan spaces of filtered L-infinity algebras
Publication date :
2015
Journal title :
Journal of Homotopy and Related Structures
ISSN :
2193-8407
Publisher :
National Centre for Science and Technology
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 12 November 2015

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