Surgery on Codimension 2 Submanifolds
jan. 1977 · American Mathematical Society: Memoirs of the American Mathematical Society 191. knjiga · American Mathematical Soc.
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A smooth submanifold whose inclusion has the same connectivity properties as the inclusion of a complex hypersurface is called taut. The diffeomorphism types of taut submanifolds are quite limited and a partial classification is obtained. The taut submanifolds are constructed using "ambient surgery". The obstruction to "ambient surgery" is calculated in terms of a cup product pairing on an eigen space of the cohomology of a certain branched covering space.
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