Handlebody decompositions of three-manifolds and polycontinuous patterns.
Proc Math Phys Eng Sci
; 478(2260): 20220073, 2022 Apr.
Article
em En
| MEDLINE
| ID: mdl-35510221
ABSTRACT
We introduce the concept of a handlebody decomposition of a three-manifold, a generalization of a Heegaard splitting, or a trisection. We show that two handlebody decompositions of a closed orientable three-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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MEDLINE
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En
Ano de publicação:
2022
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Article