Maurer-Cartan spaces of filtered L-infinity algebras

Reference : Maurer-Cartan spaces of filtered L-infinity algebras


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/22424

Title :	Maurer-Cartan spaces of filtered L-infinity algebras
Language :	English
Author, co-author :	Yalin, Sinan [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2015
Journal title :	Journal of Homotopy and Related Structures
Publisher :	National Centre for Science and Technology
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	1512-2891
e-ISSN :	2193-8407
Keywords :	[en] 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.
Permalink :	http://hdl.handle.net/10993/22424

File(s) associated to this reference

Fulltext file(s):

	File	Commentary	Version	Size	Access
Open access	Maurer-Cartan spaces of filtered L-infinity algebras.pdf		Publisher postprint	466.28 kB	View/Open

All documents in ORBi^lu are protected by a user license.