Daniel Ruberman

activity

19952025

most citedA sextic surface cannot have 66 nodes

49 citations · 360 across the 49 of their papers we have counts for

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49 papers · 1 filter

math.GT2025★ 1 cited

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

Dave Auckly, Daniel Ruberman

We construct infinite rank summands isomorphic to $Z^{\infty}$ in the higher homotopy and homology groups of the diffeomorphism groups of certain $4$ -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 $S^{4}$ …

math.GT2024

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…

math.GT2024

Simple groups and complements of smooth surfaces in simply connected $4$ -manifolds

Sam Hughes, Daniel Ruberman

For each integer $n$ we construct an oriented closed simply connected $4$ -manifold $X$ admitting a smoothly embedded closed connected surface $Σ$ of self-intersection number $n$ su…

math.GT2022

Wall's stable realization for diffeomorphisms of definite 4-manifolds

Daniel Ruberman, Sašo Strle

Let $X$ be a smooth simply connected closed 4-manifold with definite intersection form. We show that any automorphism of the intersection form of $X$ is realized by a diffeomorphis…

math.GT2021

On the Thom conjecture in $C P^{3}$

Daniel Ruberman, Marko Slapar, Sašo Strle

What is the simplest smooth simply connected 4-manifold embedded in $C P^{3}$ homologous to a degree $d$ hypersurface $V_{d}$ ? A version of this question associated with Thom asks if $V…