49 citations · 360 across the 49 of their papers we have counts for
57 papers
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…
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 …
Exotic aspherical 4-manifolds
Michael Davis, Kyle Hayden, Jingyin Huang +2
We construct closed, aspherical, smooth 4-manifolds that are homeomorphic but not diffeomorphic. These provide counterexamples to a smooth analog of the Borel conjecture in dimensi…
Simple groups and complements of smooth surfaces in simply connected -manifolds
Sam Hughes, Daniel Ruberman
For each integer we construct an oriented closed simply connected -manifold admitting a smoothly embedded closed connected surface of self-intersection number su…
The Conformal Laplacian and Positive Scalar Curvature Metrics on Manifolds with Boundary
Steven Rosenberg, Daniel Ruberman, Jie Xu
We give examples of spin -manifolds with boundary such that the boundary has a positive scalar curvature metric which cannot be extended to a posit…
Wall's stable realization for diffeomorphisms of definite 4-manifolds
Daniel Ruberman, Sašo Strle
Let be a smooth simply connected closed 4-manifold with definite intersection form. We show that any automorphism of the intersection form of is realized by a diffeomorphis…