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Deformation theory is the study of how the properties of an object change as the parameters defining it are changed by a small, possibly infinitesimal amount.

for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.

deformation theory is the study of infinitesimal conditions associated with varying a solution P of a problem to slightly different solutions $P_\epsilon$, where $\epsilon$ is a small number, or vector of small quantities.

Deformation theory is the study of how the properties of an object change as the parameters defining it are changed by a small, possibly infinitesimal amount.

deformation theory is the study of infinitesimal conditions associated with varying a solution P of a problem to slightly different solutions $P_\epsilon$, where $\epsilon$ is a small number, or vector of small quantities.