The relation of some small exotic smooth R4 with Abelian gerbes and H-deformed generalized Hitchin's structures on S3\subset R4 is discussed. Exotic smoothness of R4 appears as some fundamental phenomenon related to string theory and which has not been taken into account yet in construction of any QG theory.
PACS numbers: 02.40.–k, 04.50.Kd, 04.60.–m
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