In mathematics, a Barlow surface is one of the
complex surface
Complex commonly refers to:
* Complexity, the behaviour of a system whose components interact in multiple ways so possible interactions are difficult to describe
** Complex system, a system composed of many components which may interact with each ...
s introduced by . They are simply connected surfaces of general type with ''p
g'' = 0. They are homeomorphic but not diffeomorphic to a projective plane blown up in 8 points. The
Hodge diamond
Homological mirror symmetry is a mathematical conjecture made by Maxim Kontsevich. It seeks a systematic mathematical explanation for a phenomenon called mirror symmetry first observed by physicists studying string theory.
History
In an address ...
for the Barlow surfaces is:
See also
*
Hodge theory
In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold ''M'' using partial differential equations. The key observation is that, given a Riemannian metric on ''M'', every coh ...
References
*
*
*
*
Algebraic surfaces
Complex surfaces
{{algebraic-geometry-stub