Minimal genus four manifolds
Geometric Topology
2019-01-30 v1
Abstract
In 2018, M. Chu and S. Tillmann gave a lower bound for the trisection genus of a closed 4-manifold in terms of the Euler characteristic of and the rank of its fundamental group. We show that given a group , there exist a 4-manifold with fundamental group with trisection genus achieving Chu-Tillmann's lower bound.
Cite
@article{arxiv.1901.10033,
title = {Minimal genus four manifolds},
author = {Román Aranda},
journal= {arXiv preprint arXiv:1901.10033},
year = {2019}
}
Comments
5 pages, 3 figures