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Brieskorn manifold

From Wikipedia, the free encyclopedia

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

studied by Frédéric Pham (1965).

Brieskorn manifolds give examples of exotic spheres.[1][2]

References

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  1. ^ Greuel, Gert-Martin; Purkert, Walter (2018). "Life and work of Egbert Brieskorn (1936–2013)". Journal of Singularities. 18: 1–28. arXiv:1711.09600. doi:10.5427/jsing.2018.18a. MR 3899530. (See pp. 19–23.)
  2. ^ van der Meer, J. W. (2017). On the Construction and Classification of Exotic Structures on the 7-Sphere (PDF). Utrecht University; Bachelor's thesis{{cite book}}: CS1 maint: postscript (link)