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Singular fibers and 4-dimensional cobordism group

Singular fibers and 4-dimensional cobordism group

Using the technique of singular fibers of C ∞ stable maps, we give a new proof to the theorem, originally due to Rohlin, that the oriented cobordism group of 4-dimensional manifolds is infinite cyclic and is generated by the cobordism class of the complex projective plane.A byproduct is a new …