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Monday

Homotopy properties of diffeomorphism groups of 4-manifolds, with applications

  • Speaker: Daniel Ruberman
  • Time: 4:40-5:40
  • Abstract:

    I will survey a joint project with Dave Auckly in which we show that homological invariants of the diffeomorphism group of a smooth 4-manifold can be infinitely generated. This has similar consequences for the algebraic topology of the space of embeddings of surfaces and 3-manifolds in 4-manifolds, and spaces of positive scalar curvature on 4-manifolds.