Symplectic 4-manifolds admit Weinstein trisections
Geometric Topology
2022-10-19 v3 Symplectic Geometry
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 can be symplectically isotoped into bridge position.
Cite
@article{arxiv.2004.01137,
title = {Symplectic 4-manifolds admit Weinstein trisections},
author = {Peter Lambert-Cole and Jeffrey Meier and Laura Starkston},
journal= {arXiv preprint arXiv:2004.01137},
year = {2022}
}
Comments
34 pages, 11 figures. v3 is the final draft which has been accepted for publication in J. Topology, v3 includes many improvements and corrections thanks to the anonymous referee, most noticeably an expansion of section 5, specifically Lemma 5.7