Handlebody decompositions of 3-manifolds and polycontinuous patterns
Geometric Topology
2023-10-02 v1
Abstract
We introduce the concept of a handlebody decomposition of a 3-manifold, a generalization of a Heegaard splitting, or a trisection. We show that two handlebody decompositions of a closed orientable 3-manifold are stably equivalent. As an application to materials science, we consider a mathematical model of polycontinuous patterns and discuss a topological study of microphase separation of a block copolymer melt.
Keywords
Cite
@article{arxiv.2201.11420,
title = {Handlebody decompositions of 3-manifolds and polycontinuous patterns},
author = {Naoki Sakata and Ryosuke Mishina and Masaki Ogawa and Kai Ishihara and Yuya Koda and Makoto Ozawa and Koya Shimokawa},
journal= {arXiv preprint arXiv:2201.11420},
year = {2023}
}
Comments
29 pages, 52 figures