论文标题

3个manifolds和多连续图案的手柄分解

Handlebody decompositions of 3-manifolds and polycontinuous patterns

论文作者

Sakata, Naoki, Mishina, Ryosuke, Ogawa, Masaki, Ishihara, Kai, Koda, Yuya, Ozawa, Makoto, Shimokawa, Koya

论文摘要

我们介绍了3个策略的手柄分解的概念,对heegaard分裂或三角的概括。我们表明,可封闭的3个manifold的两个手柄分解相同。作为对材料科学的应用,我们考虑了多连续模式的数学模型,并讨论了块共聚物熔体的微相分离的拓扑研究。

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.

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