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Speaker:
Hannah Schwartz
Affiliation:
Bryn Mawr/MPIM Bonn
Date:
Tue, 17/09/2019 - 11:30 - 12:20
Location:
MPIM Lecture Hall
Parent event:
Workshop on 4-manifolds, September 16 - 20, 2019 Throughout this talk, we will compare the notions of topological isotopy, smooth isotopy, and smooth equivalence (via an ambient diffeomorphism preserving homology) between homotopic $2$-spheres smoothly embedded in a $4$-manifold. In particular, we will construct pairs of spheres that are smoothly equivalent but not even topologically isotopic. Indeed, our examples show that Gabai's recent "4D Lightbulb Theorem" does not hold without the 2-torsion hypothesis.
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