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Brieskorn manifold

In mathematics, a Brieskorn manifold or Brieskorn–Phạm manifold, introduced by , 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 .

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

References

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

References

  1. (2018). "Life and work of Egbert Brieskorn (1936–2013)". [[Journal of Singularities]].
  2. van der Meer, J. W.. (2017). "On the Construction and Classification of Exotic Structures on the 7-Sphere". Utrecht University.
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