nLab E₈ manifold

Idea

The $E_8$ manifold is the unique compact, simply connected topological 4-manifold with intersection form the E₈ lattice.

The $E_{8}$ manifold has no smooth structure, nor even is triangulable as a simplicial complex.

References

• Robion Kirby, Paul Melvin: The $E_8$–manifold, singular fibers and handlebody decompositions, Geometry & Topology Monographs 2 (1999) 233-258 [arXiv:math/9911253, GTMon2:13]

See also:

• Wikipeida, E₈ manifold