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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
Kevin H. Lin's user avatar
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 …
Kevin H. Lin's user avatar
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 …
Kevin H. Lin's user avatar
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
Kevin H. Lin's user avatar
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 …
Kevin H. Lin's user avatar
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 …
Kevin H. Lin's user avatar