7 papers · 1 filter
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 ,…
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…
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 -manifolds, which appeared as Theorem 5.1A in the book "Topology of 4-manifolds" by Freedman and Quinn, in order to constru…
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…
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…
The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds
Daniel Kasprowski, Mark Powell, Peter Teichner
We consider the role of the Kervaire--Milnor invariant in the classification of closed, connected, spin 4-manifolds, typically denoted by , up to stabilisation by connected sums…