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: borisl@e-nat-visitor-0-134.uniaccess.unimelb.edu.au (blis3801) in SMS-WASM

# Diagrams for surface isotopies in 4-manifolds

### Maggie Miller (Princeton)

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.