Deformation of infinite dimensional differential graded Lie algebras

Details Deformation of infinite dimensional differential graded Lie algebras Deformation of infinite dimensional differential graded Lie algebras

1994-11-10

arxiv.org/abs/hep-th/9411070v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages; AMS-TeX; no figures. A non-correct example was erased

Scientific paper

We introduce a notion of elliptic differential graded Lie algebra. The class of elliptic algebras contains such examples as the algebra of differential forms with values in endomorphisms of a flat vector bundle over a compact manifold, etc. For elliptic differential graded algebra we construct a complete set of deformations. We show that for several deformation problems the existence of a formal power series solution guarantees the existence of an analytic solution.

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