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University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Knotted surfaces in 4-manifolds and distances between them

## Knotted surfaces in 4-manifolds and distances between themAdd to your list(s) Download to your calendar using vCal - 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. ## This talk is included in these lists:- All CMS events
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