Affiliation:
1. School of Science, Dalian Maritime University, Dalian 116033, P. R. China
Abstract
Every surface bundle with genus [Formula: see text] fiber has a canonical Heegaard splitting of genus [Formula: see text]. In this paper, we discuss the topological indices of such Heegaard surfaces and prove the canonical Heegaard splitting of a surface bundle is topologically minimal if and only if it is critical, that is, its topological index is 2.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Liaoning Province
Fundamental Research Funds for the Central Universities
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory