High Quality Content by WIKIPEDIA articles!In mathematics a deformation of a mathematical object is either a single nearby object ('nearby' in some appropriate sense depending on the context), or a family of such nearby objects, and often an object is understood better by understanding its possible deformations. Examples are very numerous: deformations of group actions, of maps, of algebraic varieties, of algebras (eg deformation quantization), dynamical systems (bifurcation theory), complex structures (deformation theory). At this very general level, it is not possible (?) to give a formal definition of deformation, so in this article we describe different definitions for different contexts. In many cases, the possible deformations of a given object are classified by some cohomology construction.

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