Reference : Maurer-Cartan spaces of filtered L-infinity algebras |
Scientific journals : Article | |||
Physical, chemical, mathematical & earth Sciences : Mathematics | |||
http://hdl.handle.net/10993/22424 | |||
Maurer-Cartan spaces of filtered L-infinity algebras | |
English | |
Yalin, Sinan ![]() | |
2015 | |
Journal of Homotopy and Related Structures | |
National Centre for Science and Technology | |
Yes (verified by ORBilu) | |
International | |
1512-2891 | |
2193-8407 | |
[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. | |
http://hdl.handle.net/10993/22424 |
File(s) associated to this reference | ||||||||||||||
Fulltext file(s):
| ||||||||||||||
All documents in ORBilu are protected by a user license.