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This document summarizes the relationship between exotic smooth structures on R4 and codimension-1 foliations of S3. It is shown that small exotic R4 from the radial family are determined by foliations of S3 with non-vanishing Godbillon-Vey classes in H3(S3,R). Conversely, codimension-1 foliations of S3 distinguish smooth structures on R4. These exotic smoothness structures correspond to twistings of generalized geometries by abelian gerbes on S3. The existence of exotic 4-regions in spacetime leads to char

Author

Duncan_Vim

Language

EN