School of Mathematics & Statistics

Constructing Lagrangians from multi-grid diagrams.

Laura Wakelin (King's College London)

Monday 9th November 15:00-16:00
Maths 311B

Abstract

Triple grid diagrams were introduced by Blackwell, Gay and Lambert-Cole as a way to construct Lagrangians in CP2 through the lens of an underlying trisection. We generalise this to multi-grid diagrams, which can be used to construct Lagrangians in all symplectic toric 4-manifolds. We give examples of multi-grid diagrams for a range of Lagrangians in S2 x S2, including Evans’ recent non-squeezable Klein bottle. This is joint work with Shintaro Fushida-Hardy. 

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