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Results tagged with deformation-theory
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user 36625
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
8
votes
Accepted
References for the moduli space of complex structures
Concerning the deformation theory of complex manifolds, there are of course the seminal papers of Kodaira-Spencer. There are also some more recent notes of Manetti, Lectures on deformations of complex …
- 1,609
8
votes
Accepted
Extended Deformation Theory (dg-Lie algebra principle in positive characteristic?)
More precisely, the "Deligne principle" of deformation theory (but actually one could add a lot of other names) is that every deformation problem corresponds to a deformation functor, which in turn is …
- 1,609
8
votes
0
answers
459
views
On the cohomology of Kontsevich graph complex
Kontsevich's formality theorem asserts that a certain quasi-isomorphism of chain complexes between the graded Lie algebra of polyvector fields on $\mathbb{R}^n$ and the dg Lie algebra of polydifferent …
- 1,609
5
votes
1
answer
902
views
Stacks and Maurer-Cartan elements
One can associate to any deformation problem a dg Lie or $L_{\infty}$-algebra $g$.
For instance, in algebraic deformation theory, let's say the deformation theory of algebras over a Koszul operad $P$, …
- 1,609