Abstract
A description of a ring of functions on the base of a universal formal deformation for several moduli problems is given. The answer is given in terms of a homology group of a certain dg Lie algebra associated to a problem. In part II, we construct dg Lie algebroids corresponding to several moduli problems as higher direct images of appropriate sheaves of Lie algebras. The connection morphisms of part I corresponding to these dg Lie algebroids solve the problem.
| Original language | English |
|---|---|
| Pages (from-to) | 291-316 |
| Number of pages | 26 |
| Journal | Algebra Colloquium |
| Volume | 4 |
| Issue number | 3 |
| State | Published - 1997 |
Keywords
- Dg lie algebroids
- Formal moduli
- Homotopy lie algebras
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics