You are here: Home :: Area NEM :: Mathematics

Alice Fialowski, Michael Penkava

Examples of miniversal deformations of infinity algebras

A classical problem in algebraic deformation theory is whether an infinitesimal deformation can be extended to a formal deformation. The answer to this question is usually given in terms of Massey powers. If all Massey powers of the cohomology class determined by the infinitesimal deformation vanish, then the deformation extends to a formal one. We consider another approach to this problem, by constructing a miniversal deformation of the algebra. One advantage of this approach is that it answers not only the question of existence, but gives a construction of an extension as well.

Forum Mathematicum, Walter de Gruyter

Print ISSN: 0933-7741
Volume: 19, 05/2007
Pages: 463 - 486

Show full article (external site)

Show all available items of this journal

 

Area NEM