The double star construction

Daniel Kasprowski, University of Southampton

Online Talk 

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The star construction due to Freedman-Quinn and Stong is used to construct homotopy equivalent manifolds with opposite Kirby-Siebenmann invariant. Inspired by this we present a smooth construction that can yield smooth manifolds that are homotopy equivalent but not (stably) homeomorphic.

This is joint work with Mark Powell and Aru Ray.