# The Price twist via trisections

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Maggie Miller
Taplin Auditorium

The Price twist is a surgery operation on an $RP^2$ in a 4-manifold that may change the smooth structure of the 4-manifold.  Akbulut showed that this operation is equivalent to a certain plug twist (surgery along a codimension-0 Stein submanifold). In this talk, we'll see how to explicitly perform the Price twist using the theory of trisections. Along the way, we will find a procedure to obtain a trisection of the complement of any surface embedded in a 4-manifold.

This project is joint with Seungwon Kim.