arXiv Analytics

Sign in

arXiv:1901.10033 [math.GT]AbstractReferencesReviewsResources

Minimal genus four manifolds

Román Aranda

Published 2019-01-28Version 1

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 $M$ and the rank of its fundamental group. We show that given a group $G$, there exist a 4-manifold $M$ with fundamental group $G$ with trisection genus achieving Chu-Tillmann's lower bound.

Comments: 5 pages, 3 figures
Categories: math.GT
Subjects: 57N13
Related articles: Most relevant | Search more
arXiv:2502.07689 [math.GT] (Published 2025-02-11)
Geography of irreducible 4-manifolds with order two fundamental group
arXiv:math/9808085 [math.GT] (Published 1998-08-18)
On normal subgroups in the fundamental groups of complex surfaces
arXiv:1408.1115 [math.GT] (Published 2014-08-05, updated 2014-09-12)
The Euler characteristic of a surface from its Fourier analysis in one direction

Links

Toolbox