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for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
2
votes
Deformation theory and differential graded Lie algebras
Some precise statements with proofs can be found in this paper of Manetti: http://arxiv.org/abs/math/9910071
1
vote
Hochschild cohomology and A-infinity deformations
I'll have to read it more carefully, but this paper of Penkava and Schwarz seems to do it: http://arxiv.org/abs/hep-th/9408064
3
votes
Kodaira-Spencer map in a concrete instance
One way to concretely realize the Kodaira-Spencer map is via Cech cohomology. Take a vector field downstairs, lift it to a vector field upstairs, and apply the Cech differential to the lifted vector f …
9
votes
What is a deformation of a category?
Ok, so I finally spent some time looking through some papers of van den Bergh and Lowen in more detail, which is probably what I should have done a while ago.
The first relevant paper to my questions …
7
votes
Introduction to deformation theory (of algebras)?
I know almost nothing about quantum groups, but nevertheless I think the first thing to realize is that "deformation" can really be taken as just a synonym for "family". If you are interested in modul …
9
votes
Intuition about the cotangent complex?
I'm really glad that this question was posted, because I am currently in the process of trying to learn about the cotangent complex myself.
First of all, the wikipedia entry on the cotangent complex …