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Surgery on Codimension 2 Submanifolds

by Michael H. Freedman

📖 The Scoop

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.

Genre: Mathematics / General (fancy, right?)

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