E8 manifold

Template:Downsize 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.

See also

• E8 (mathematics)

References

• M.H. Freedman, The topology of four-dimensional manifolds, Journal of Differential Geometry 17 (1982), pp. 357–453.