Minimal genus in 4-manifolds with a free circle action
Geometric Topology
2018-12-24 v2
Abstract
Let N be a closed irreducible 3-manifold and assume N is not a graph manifold. We improve for all but finitely many S^1-bundles M over N the adjunction inequality for the minimal complexity of embedded surfaces. This allows us to completely determine the minimal complexity of embedded surfaces in all but finitely many S^1-bundles over a large class of 3-manifolds.
Keywords
Cite
@article{arxiv.1204.3578,
title = {Minimal genus in 4-manifolds with a free circle action},
author = {Stefan Friedl and Stefano Vidussi},
journal= {arXiv preprint arXiv:1204.3578},
year = {2018}
}
Comments
19 pages, updated to reflect new results on 3-manifold groups. Some inaccuracies fixed