Symplectic 4-manifolds admit Weinstein trisections

Peter Lambert-Cole; Jeffrey Meier; Laura Starkston

doi:10.1112/topo.12192

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arXiv · 2004.01137

Symplectic 4-manifolds admit Weinstein trisections

Peter Lambert-Cole·Jeffrey Meier·Laura Starkston

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Abstract

We prove that every symplectic 4-manifold admits a trisection that is compatible with the symplectic structure in the sense that the symplectic form induces a Weinstein structure on each of the three sectors of the trisection. Along the way, we show that a (potentially singular) symplectic braided surface in $\mathbb{CP}^2$ can be symplectically isotoped into bridge position.

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Peter Lambert-Cole, Jeffrey Meier, Laura Starkston. 2021-04-27. Symplectic 4-manifolds admit Weinstein trisections. https://doi.org/10.1112/topo.12192

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