Donaldson’s theorem
Theorem Let be a smooth simply connected, closed 4- manifold
. If the bilinear form
induced on by the cup product
is positive definite
, then it may be represented by the identity matrix
.
One application is the existence of exotic ’s. See Donaldson Freedman exotic R4.
| Title | Donaldson’s theorem |
|---|---|
| Canonical name | DonaldsonsTheorem |
| Date of creation | 2013-03-22 15:37:30 |
| Last modified on | 2013-03-22 15:37:30 |
| Owner | whm22 (2009) |
| Last modified by | whm22 (2009) |
| Numerical id | 9 |
| Author | whm22 (2009) |
| Entry type | Theorem |
| Classification | msc 57R12 |
| Classification | msc 14J80 |
| Related topic | exoticR4s |
| Related topic | DonaldsonFreedmanexoticR4 |
| Related topic | DonaldsonFreedmanExoticR4 |
| Related topic | ExoticR4s |