On the inertia groups of ℎ-cobordant manifolds

Frame, Michael

doi:10.1090/S0002-9939-1984-0728364-0

On the inertia groups of $h$-cobordant manifolds
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by Michael Frame PDF

Proc. Amer. Math. Soc. 90 (1984), 433-439 Request permission

Abstract:

It is shown that if $M$ and $N$ are $h$-cobordant manifolds of dimension at least eight, then their special inertia groups are equal. (G. Brumfiel has shown that special inertia groups are not homotopy type invariants.) Examples are constructed for which the inertia group is an $h$-cobordism invariant.

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