Reference : Maurer-Cartan spaces of filtered L-infinity algebras
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Maurer-Cartan spaces of filtered L-infinity algebras
Yalin, Sinan mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Journal of Homotopy and Related Structures
National Centre for Science and Technology
Yes (verified by ORBilu)
[en] L-infinity algebras ; Maurer-Cartan spaces ; deformation theory
[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.

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