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math.GT2008
Stably diffeomorphic manifolds and l_{2q+1}(Z[π])
Diarmuid Crowley, Jörg Sixt
The monoids l_{2q+1}(Z[π]) detect s-cobordisms amongst certain bordisms between stably diffeomorphic 2q-dimensional manifolds and generalise the Wall simple surgery obstruction gro…
math.GT2002
The classification of highly connected manifolds in dimensions 7 and 15
Diarmuid J. Crowley
Let P be a closed smooth (4j-2)-connected 8j-manifold. We complete Wilkens' classification of the manifolds P for j = 1,2 and give an alternative proof to Wall's classification of…