55 citations · 417 across the 43 of their papers we have counts for
47 papers
Geometric obstructions for -fillings of 3-manifolds
Daniel Galvin, Peter Teichner, Simona Veselá
We consider the realisation problem for normal 1-types of 4-manifolds with a given boundary. More precisely, given a normal 1-type and closed 3-dimensional -manifold , do…
Link concordance implies link homotopy
Maciej Borodzik, Mark Powell, Peter Teichner
We show that link concordance implies link homotopy for immersions of codimension at least two. As a consequence, we prove that every link is…
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,…
A new approach to light bulb tricks: Disks in 4-manifolds
Danica Kosanović, Peter Teichner
For a 4-manifold and a knot with dual sphere , we compute the set …
Immersions of punctured 4-manifolds: with applications to Quantum Cellular Automata
Michael Freedman, Daniel Kasprowski, Matthias Kreck +2
Motivated by applications to pulling back quantum cellular automata from one manifold to another, we study the existence of immersions between certain smooth 4-manifolds. We show t…
Embedding surfaces in 4-manifolds
Daniel Kasprowski, Mark Powell, Arunima Ray +1
We prove a surface embedding theorem for 4-manifolds with good fundamental group in the presence of dual spheres, with no restriction on the normal bundles. The new obstruction is…