43 citations · 187 across the 19 of their papers we have counts for
22 papers
Homotopy versus isotopy: 2-spheres in 5-manifolds
Danica Kosanović, Rob Schneiderman, Peter Teichner
In this note we give a complete obstruction for two homotopic embeddings of a 2-sphere into a 5-manifold to be isotopic. The results are new even though the methods are classical,…
Introduction to Whitney Towers
Rob Schneiderman
These introductory notes on Whitney towers in 4-manifolds, as developed in collaboration with Jim Conant and Peter Teichner, are an expansion of three expository lectures given at…
Clasper Concordance, Whitney towers and repeating Milnor invariants
James Conant, Rob Schneiderman, Peter Teichner
We show that for each , a link bounds a degree Whitney tower in the 4-ball if and only if it is \emph{-concordant} to the unlink. This means…
Homotopy versus isotopy: spheres with duals in 4-manifolds
Rob Schneiderman, Peter Teichner
David Gabai recently proved a smooth 4-dimensional "Light Bulb Theorem" in the absence of 2-torsion in the fundamental group. We extend his result to 4-manifolds with arbitrary fun…
The Group of Disjoint 2-Spheres in 4-Space
Rob Schneiderman, Peter Teichner
We compute the group of link homotopy classes of link maps of two 2-spheres into 4-space. It turns out to be free abelian, generated by geometric constructions applied to the Fenn-…
Cochran's invariants via twisted Whitney towers
Jim Conant, Rob Schneiderman, Peter Teichner
We show that Tim Cochran's invariants of a -component link in the --sphere can be computed as intersection invariants of certain 2-complexes in the --ball wit…