E8 manifold
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- The correct title of this article is E8 manifold. It features superscript or subscript characters that are substituted or omitted because of technical limitations.
In mathematics, the E8 manifold is the unique compact, simply connected topological 4-manifold with intersection form the E8 lattice.
The E8 manifold was discovered by Michael Freedman in 1982. Rokhlin's theorem shows that it has no smooth structure (as does Donaldson's theorem), and in fact, combined with the work of Andrew Casson on the Casson invariant, this shows that the E8 manifold is not even triangulable as a simplicial complex.
[edit] See also
[edit] References
- M.H. Freedman, The topology of four-dimensional manifolds, Journal of Differential Geometry 17 (1982), pp. 357–453.
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