E8 manifold information

In mathematics, the E8 manifold is the unique compact, simply connected topological 4-manifold with intersection form the E8 lattice. The E 8 {\displaystyle...

every topological manifold can be endowed with a particular additional structure. For example, the E8 manifold is a topological manifold which cannot be...

E8 may refer to: E8, an exceptional simple Lie group with root lattice of rank 8 E8 lattice, special lattice in R8 E8 manifold, mathematical object with...

Whitehead manifold Meyerhoff manifold Weeks manifold For more examples see 3-manifold. Complex projective plane Del Pezzo surface E8 manifold Enriques...

topological 4-manifold, called the E8 manifold, whose intersection form is given by the E8 lattice. This manifold is an example of a topological manifold which...

In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow...

smooth structure is called an exotic sphere. The E8 manifold is an example of a topological manifold that does not admit a smooth structure. This essentially...

Poincaré conjecture. Freedman and Robion Kirby showed that an exotic R4 manifold exists. Freedman was born in Los Angeles, California, in the United States...

(pre)order Branching line − A non-Hausdorff manifold. Double origin topology E8 manifold − A topological manifold that does not admit a smooth structure....

simply-connected manifolds of dimension 4, Simon Donaldson found examples with an infinite number of inequivalent PL structures, and Michael Freedman found the E8 manifold...

{\displaystyle E_{8}} is the E8 lattice. Yukio Matsumoto's 11/8 conjecture predicts that every smooth oriented 4-manifold X with even intersection form...

simple exceptional Lie group, E8. A Lie group, such as a one-dimensional circle, may be understood as a smooth manifold with a fixed, highly symmetric...

requiring that the volume of any fundamental domain for the lattice be 1. The E8 lattice and the Leech lattice are two famous examples. A lattice is a free...

that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable. A manifold is a space that locally resembles...

group. An associated quadratic form or manifold – for example, the E8 manifold has intersection form given by the E8 lattice. These latter notations are...

the form of a Calabi–Yau manifold. Within the more complete framework of M-theory, they would have to take form of a G2 manifold. A particular exact symmetry...

heterotic superstring theories, the heterotic SO(32) and the heterotic E8 × E8, abbreviated to HO and HE. Apart from that there exist seven more heterotic...