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]
^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.)
^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)
and 15 Related for: Brieskorn manifold information
In mathematics, a Brieskornmanifold or Brieskorn–Phạm manifold, introduced by Egbert Brieskorn (1966, 1966b), is the intersection of a small sphere around...
sphere. As shown by Egbert Brieskorn (1966, 1966b) (see also (Hirzebruch & Mayer 1968)) the intersection of the complex manifold of points in C 5 {\displaystyle...
around 0 with this complex surface) is a Brieskornmanifold that is a homology 3-sphere, called a Brieskorn 3-sphere Σ(p, q, r). It is homeomorphic to...
Examples of these manifolds include: the manifold of unit vectors of the tangent bundle of a hyperbolic surface, and more generally the Brieskorn homology spheres...
studies spaces that are almost manifolds, but not quite. A string can serve as an example of a one-dimensional manifold, if one neglects its thickness...
Poincaré (Development of the concept of manifold from Riemann to Poincaré) under the supervision of Egbert Brieskorn and Henk J. M. Bos. In 1986, Scholtz...
Milnor, John (1975). "On the 3-dimensional Brieskornmanifolds M(p,q,r)". Knots, groups, and 3-manifolds (Papers dedicated to the memory of R. H. Fox)...
Riemann bis Poincaré, Birkhäuser, 1980. A study of the genesis of the manifold concept. Based on the author's dissertation, directed by Egbert Brieskorn....
the doctoral studies of 52 mathematicians. Some of them include Egbert Brieskorn, Matthias Kreck, Don Zagier, Detlef Gromoll, Klaus Jänich, Lothar Göttsche...
1971 his promotion Ph.D. from the University of Göttingen under Egbert Brieskorn, with thesis Quasihomogene isolierte Singularitäten von Hyperflächen (Quasihomogeneous...
distinct differentiable structures (28 if one considers orientation). Egbert Brieskorn found simple algebraic equations for 28 complex hypersurfaces in complex...
February 2020. Wikimedia Commons has media related to Algebraic curves. Brieskorn, Egbert; Knörrer, Horst (2013). Plane Algebraic Curves. Translated by...
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