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Arithmetic topology of 4-manifolds

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 Added by Igor V. Nikolaev
 Publication date 2019
  fields
and research's language is English
 Authors Igor Nikolaev




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We construct a functor from the smooth 4-dimensional manifolds to the hyper-algebraic number fields, i.e. fields with non-commutative multiplication. It is proved that that the simply connected 4-manifolds correspond to the abelian extensions. We recover the Rokhlin and Donaldsons Theorems from the Galois theory of the non-commutative fields.



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