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：10875-10879
DOI：10.1073/pnas.1717167115
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：Building on work by Stallings, Jaco, and Hempel in three dimensions and a more recent four-dimensional analog by Abrams, Kirby, and Gay, we show how the splitting homomorphism and group trisection constructions can be extended to functors between appropriate categories. This further enhances the bridge between smooth four-dimensional topology and the group theory of free and surface groups.
关键词：four-manifolds ; trisections ; free groups ; surface groups
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