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Embedding spheres and the Kervaire-Milnor invariant

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Mark Powell
Durham University, UK
Thu, 2019-09-19 11:30 - 12:20
MPIM Lecture Hall

I will explain the definition of the Kervaire-Milnor invariant of an immersed 2-sphere in a 4-manifold, which obstructs the sphere being homotopic to an embedding. I will describe two instances in 4-manifold classification where this invariant appears, one in the sphere embedding theorem and one in stable classification.

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