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Topology/Geometry Seminar

The Price twist and trisections

Maggie Miller (Princeton)

Location:  Hill 525
Date & time: Tuesday, 25 September 2018 at 3:40PM - 4:40PM

Abstract:  Let S be an RP^2 embedded in a smooth 4-manifold X^4. With some mild conditions, the Price twist is a surgery operation on S that yields a 4-manifold homeomorphic (but not necessarily diffeomorphic) to X^4. In particular, for every RP^2 embedded in S^4, this operation yields a homotopy 4-sphere.

In this talk, we will understand the Price twist via the theory of trisections. In particular, I will show how to produce an explicit trisection diagram of the surgered 4-manifold.

This is joint work with Seungwon Kim.

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