Lie description of higher obstructions to deforming submanifolds
arXiv:math/0507287 · doi:10.2422/2036-2145.2007.4.06
Abstract
To every morphism of differential graded Lie algebras we associate a functors of artin rings $\Def_χ$ whose tangent and obstruction spaces are respectively the first and second cohomology group of the cylinder of . Such construction applies to Hilbert and Brill-Noether functors and allow to prove with ease that every higher obstruction to deforming a smooth submanifold of a Kaehler manifold is annihilated by the semiregularity map.
Some result is improved and some proof simplified. Latex, 23 pages