Gerbes on orbifolds and exotic smooth R**4
Nov, 2009Citations per year
Abstract: (arXiv)
By using the relation between foliations and exotic R^4, orbifold -theory deformed by a gerbe can be interpreted as coming from the change in the smoothness of R^4. We give various interpretations of integral 3-rd cohomology classes on S^3 and discuss the difference between large and small exotic R^4. Then we show that -theories deformed by gerbes of the Leray orbifold of S^3 are in one-to-one correspondence with some exotic smooth R^4's. The equivalence can be understood in the sense that stable isomorphisms classes of bundle gerbes on S^3, the boundary of the Akbulut cork, correspond uniquely to these exotic R^4's. Given the orbifold where SU(2) acts on itself by conjugation, the deformations of the equivariant -theory on this orbifold by the elements of , correspond to the changes of suitable exotic smooth structures on R^4.Note:
- 21 pages, no figures, subm. to Comm. Math. Phys
- K-theory
- orbifold
- cohomology
- twist
- SU(2) x SU(2)
- S(3)
- R(4)
- deformation
- E(8)
- mathematical methods
References(21)
Figures(0)