most citedFamilies of diffeomorphisms, embeddings, and positive scalar curvature metrics via Seiberg-Witten theory

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Families of diffeomorphisms, embeddings, and positive scalar curvature metrics via Seiberg-Witten theory

Dave Auckly, Daniel Ruberman

We construct infinite rank summands isomorphic to in the higher homotopy and homology groups of the diffeomorphism groups of certain -manifolds. These spheri…

math.GT2025

Exotic families of embeddings

Dave Auckly, Daniel Ruberman

We construct a number of topologically trivial but smoothly non-trivial families of embeddings of 3-manifolds in 4-manifolds. These include embeddings of homology spheres in …