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：10869-10874
DOI：10.1073/pnas.1717176115
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：Given a diagram for a trisection of a 4-manifold X, we describe the homology and the intersection form of X in terms of the three subgroups of H 1 ( F ; Z ) generated by the three sets of curves and the intersection pairing on H 1 ( F ; Z ) . This includes explicit formulas for the second and third homology groups of X as well an algorithm to compute the intersection form. Moreover, we show that all ( g ; k , 0,0 ) -trisections admit “algebraically trivial” diagrams.
关键词：4-manifolds ; trisections ; homology ; intersection form
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