Title :

The formal Kuranishi parameterization via the universal homological perturbation theory solution of the deformation equation

Author(s) :

Huebschmann, Johannes [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Georgian Mathematical Journal

Pages :

529-544

Publisher :

Springer Verlag

Publication date :

2018-12-01

ISSN :

1072-947X

English keyword(s) :

Deformation theory
deformation controlled by a differential graded Lie algebra
miniversal deformation
Kuranishi method

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

Abstract Using homological perturbation theory, we develop a formal version of the miniversal deformation associated with a deformation problem controlled by a differential graded Lie algebra over a field of characteristic ...
Show more >Abstract Using homological perturbation theory, we develop a formal version of the miniversal deformation associated with a deformation problem controlled by a differential graded Lie algebra over a field of characteristic zero. Our approach includes a formal version of the Kuranishi method in the theory of deformations of complex manifolds.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL