Brieskorn manifold

In mathematics, a Brieskorn manifold or Brieskorn–Phạm manifold, introduced by Template:Harvs, is the intersection of a small sphere around the origin with the singular, complex hypersurface

$x_1^{k_1}+\cdots +x_n^{k_n}=0$

studied by Template:Harvs.

Brieskorn manifolds give examples of exotic spheres, for example the Gromoll–Meyer sphere.

References

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• Template:Citation This book describes Brieskorn's work relating exotic spheres to singularities of complex manifolds.
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