Positivity of Intersections and Tameness of Almost Complex 4-manifolds
Symplectic Geometry
2024-02-01 v1 Differential Geometry
Abstract
We prove that pseudoholomorphic curves intersect complex 2-cycles positively in almost complex 4-manifolds. This makes possible a general and conceptually simple proof that an almost complex 4-manifold with many curves admits a taming symplectic structure, as envisioned by Gromov. Furthermore, we prove that the positivity of intersections between pseudoholomorphic curves is stable, in a geometric sense.
Keywords
Cite
@article{arxiv.2401.17381,
title = {Positivity of Intersections and Tameness of Almost Complex 4-manifolds},
author = {Spencer Cattalani},
journal= {arXiv preprint arXiv:2401.17381},
year = {2024}
}
Comments
19 pages