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#history_of_manifolds_and_varieties

History of manifolds and varieties

The study of manifolds combines many important areas of mathematics: it generalizes concepts such as curves and surfaces as well as ideas from linear algebra and topology. Certain special classes of manifolds also have additional algebraic structure; they may behave like groups, for instance. In that case, they are called Lie Groups. Alternatively, they may be described by polynomial equations, in which case they are called algebraic varieties, and if they additionally carry a group structure, they are called algebraic groups.

Thu 22nd

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History of manifolds and varieties Timeline of manifolds Whitney embedding theorem Complex manifold Calabi–Yau manifold Kähler manifold Complex geometry Differential geometry Manifold Hyperkähler manifold
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