Minimal genus four manifolds

2019/01/28 by Aranda, Román
#57N13 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1901.10033

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 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.

Related

• On the minimal genus problem in four-manifolds
• Exotic 4-manifolds with small trisection genus
• Minimal genus relative trisections of corks
• Reflections on trisection genus
• Non-diffeomorphic minimal genus relative trisections of the same 4-manifold