Homologous Non-isotopic Symplectic Surfaces of Higher Genus
Geometric Topology
2018-12-24 v1 Symplectic Geometry
Abstract
We construct an infinite family of homologous, non-isotopic, symplectic surfaces of any genus greater than one in a certain class of closed, simply connected, symplectic four-manifolds. Our construction is the first example of this phenomenon for surfaces of genus greater than one.
Keywords
Cite
@article{arxiv.math/0601748,
title = {Homologous Non-isotopic Symplectic Surfaces of Higher Genus},
author = {B. Doug Park and Mainak Poddar and Stefano Vidussi},
journal= {arXiv preprint arXiv:math/0601748},
year = {2018}
}
Comments
12 pages, 3 figures. To appear in Trans. Amer. Math. Soc