文章基本信息

标题：Computing trisections of 4-manifolds
作者：Mark Bell ; Joel Hass ; Joachim Hyam Rubinstein 等
期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：2018
卷号：115
期号：43
页码：10901-10907
DOI：10.1073/pnas.1717173115
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：We describe an algorithm to compute trisections of orientable four-manifolds using arbitrary triangulations as input. This results in explicit complexity bounds for the trisection genus of a 4-manifold in terms of the number of pentachora (4-simplices) in a triangulation.
关键词：four-manifold ; trisection ; four-dimensional triangulations ; topological algorithms ; computational topology