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for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
29
votes
3
answers
3k
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Why are derived categories natural places to do deformation theory?
It seems to me that a lot of people do deformation theory (of schemes, sheaves, maps etc) in derived category (of an appropriate abelian category). For example, the cotangent complex of a morphism $f: …
5
votes
0
answers
370
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Deformation theory with a view toward GW theory and DT theory
I am studying GW theory (and DT theory) in algebraic geometry. I now understand the heuristic "Aut, Def, Obs" argument written in Mirror Symmetry book (by Hori et al.), but it is too hard for me to re …