P. Teichner

collaborators

5 papers

math.GT2026

Geometric obstructions for $I^¾$ -fillings of 3-manifolds

Daniel Galvin, Peter Teichner, Simona VeselÃ¡

We consider the realisation problem for normal 1-types of 4-manifolds with a given boundary. More precisely, given a normal 1-type $I^¾$ and closed 3-dimensional $I^¾$ -manifold $Y$ ,…

math.GT2025

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…

math.GT2025

The 4-dimensional disc embedding theorem and dual spheres

Mark Powell, Arunima Ray, Peter Teichner

We modify the proof of the disc embedding theorem for $4$ -manifolds, which appeared as Theorem 5.1A in the book "Topology of 4-manifolds" by Freedman and Quinn, in order to constru…

math.GT2025

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 $⊔^{r} S^{n} ↪ S^{n + 2}$ is…

math.GT2025

Clasper Concordance, Whitney towers and repeating Milnor invariants

James Conant, Rob Schneiderman, Peter Teichner

We show that for each $k \in N$ , a link $L \subset S^{3}$ bounds a degree $k$ Whitney tower in the 4-ball if and only if it is \emph{ $C_{k}$ -concordant} to the unlink. This means…

Geometric obstructions for I^¾-fillings of 3-manifolds

Immersions of punctured 4-manifolds: with applications to Quantum Cellular Automata

The 4-dimensional disc embedding theorem and dual spheres

Link concordance implies link homotopy

Clasper Concordance, Whitney towers and repeating Milnor invariants

Geometric obstructions for $I^¾$ -fillings of 3-manifolds