Imre Bokor, Diarmuid Crowley, Stefan Friedl, Fabian Hebestreit, Daniel Kasprowski, Markus Land, Johnny Nicholson
Published 2019-09-05Version 1
The classical Kneser-Milnor theorem says that every closed oriented connected 3-dimensional manifold admits a unique connected sum decomposition into manifolds that cannot be decomposed any further. We discuss to what degree such decompositions exist in higher dimensions and we show that in many settings uniqueness fails in higher dimensions.
A Note on a Map from Knots to $2$-Knots
Some Results on Pseudo-Collar Structures on High-Dimensional Manifolds
Michel Kervaire work on knots in higher dimensions
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