SMS scnews item created by Boris Lishak at Wed 16 Jan 2019 1745
Type: Seminar
Distribution: World
Calendar1: 23 Jan 2019 1100-1200
CalLoc1: Carslaw 535A
CalTitle1: Miller -- Diagrams for surface isotopies in 4-manifolds
Auth: (blis3801) in SMS-WASM

Geometry and Topology Seminar

Diagrams for surface isotopies in 4-manifolds

Maggie Miller (Princeton)

Please join us for lunch after the talk.


I will demonstrate a method of drawing diagrams for a surface smoothly embedded into an arbitrary \(4\)-manifold, and show that any two diagrams of smoothly isotopic surfaces are related by a sequence of simple moves (6 elementary moves + isotopy). This generalizes work in \(S^4\) of Swenton and Kearton-Kurlin. Through correspondence with bridge trisections, this implies that a surface in a trisected \(4\)-manifold has a unique bridge trisection up to perturbation, proving a conjecture of Meier and Zupan.

This work is joint with Mark Hughes and Seungwon Kim.

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