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
:
studied by .
Brieskorn manifolds give examples of
exotic sphere
In an area of mathematics called differential topology, an exotic sphere is a differentiable manifold ''M'' that is homeomorphic but not diffeomorphic to the standard Euclidean ''n''-sphere. That is, ''M'' is a sphere from the point of view of a ...
s.
References
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* This book describes Brieskorn's work relating exotic spheres to singularities of complex manifolds.
*{{Citation , last=Pham, first=Frédéric, authorlink=Frédéric Pham , title=Formules de Picard-Lefschetz généralisées et ramification des intégrales , mr=0195868 , year=1965 , journal=
Bulletin de la Société Mathématique de France
'' Bulletin de la Société Mathématique de France'' is a mathematics journal published quarterly by Société Mathématique de France.
Founded in 1873, the journal publishes articles on mathematics.
It publishes articles in French and English. ...
, issn=0037-9484 , volume=93 , pages=333–367, doi=10.24033/bsmf.1628 , doi-access=free
Singularity theory