Editing Exotic sphere (section)

=== Brieskorn spheres ===
{{Main|Brieskorn manifold}}

As shown by {{harvs|txt=yes|first=Egbert |last=Brieskorn|author-link=Egbert Brieskorn|year=1966|year2=1966b}} (see also {{harv|Hirzebruch|Mayer|1968}}) the intersection of the [[complex manifold]] of points in <math>\Complex^5</math> satisfying
:<math>a^2 + b^2 + c^2 + d^3 + e^{6k-1} = 0\ </math>
with a small sphere around the origin for <math>k = 1, 2, \ldots, 28</math> gives all 28 possible smooth structures on the oriented 7-sphere. Similar manifolds are called [[Brieskorn sphere]]s.