A four-dimensional mapping class group relation
Geometric Topology
2025-06-17 v2 Symplectic Geometry
Abstract
In the symplectic mapping class group of a -dimensional Weinstein domain, we give a relation between two products of (right-handed) Dehn twists via holomorphic curve techniques. A key ingredient of the construction is a solution to the symplectic isotopy problem on symplectic submanifolds in del Pezzo surfaces. In the appendix, we provide an alternative proof of a relation between a fibered Dehn twist and a product of Dehn twists.
Keywords
Cite
@article{arxiv.2106.10914,
title = {A four-dimensional mapping class group relation},
author = {Takahiro Oba},
journal= {arXiv preprint arXiv:2106.10914},
year = {2025}
}
Comments
33 pages, 3 figures. Accepted for publication in Mathematische Annalen