Knotted surfaces in 4-manifolds and distances between them

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• Oliver Singh, Durham
• Wednesday 06 November 2019, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

I will discuss knotted surfaces, isotopy classes of embedded surfaces in a given 4-manifold, and will define two notions of distance between them. These distances are integer-valued and are defined topologically: one in terms of regular homotopy; another in terms of stabilisation, a form of embedded surgery. I will outline a proof of an inequality between these distances; the proof is constructive and draws upon ideas pioneered by Gabai in the proof of the 4-dimensional light bulb theorem.

This talk is part of the Differential Geometry and Topology Seminar series.

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