Algebraic Criteria for Stable Diffeomorphism of Spin $4$-Manifolds

Daniel Kasprowski, University of Southampton, United Kingdom. Mark Powell, University of Glasgow, United Kingdom. Peter Teichner, Max Planck Institut fur Mathematik, Bonn, Germany.

1. Introduction 2. Background 3. The secondary obstruction 4. The tertiary obstruction 5. Inheritance results 6. Examples 7. The stable classification for fundamental group $\mathbb {Z}\times \mathbb {Z}/2$