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Symplectic 4-manifolds admit Weinstein trisections

Published 2 Apr 2020 in math.GT and math.SG | (2004.01137v3)

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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