Deformations and normal forms of dg-manifolds and their applications
par
Arkady Vaintrob(University of Oregon)
→
Europe/Paris
112 (Institut Camille Jordan)
112
Institut Camille Jordan
Université Lyon 1,
Bât. Braconnier,
21 av. Claude Bernard,
69100 Villeurbanne
Description
A differential-graded (dg) manifold is a manifold with a sheaf of
commutative dg-algebras. (They are also known as Q-manifolds or
supermanifolds with homological vector fields.) I will first discuss
general results about deformations and local normal forms of
dg-manifolds and related structures (such as dg-submanifolds and
bundles). Then I will show how they can be used in the study of more
"traditional" structures, such as Poisson manifolds, Lie algebroids,
Lie bialgebroids, homotopy actions, generalized complex manifolds,
etc.