Brieskorn manifold

In mathematics, a Brieskorn manifold or Brieskorn–Phạm manifold, introduced by Brieskorn (1966, 1966b), is the intersection of a small sphere around the origin with the singular hypersurface

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

studied by Pham (1965).

Brieskorn manifolds give examples of exotic spheres.

References

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