Author:
Feller Peter,Klug Michael,Schirmer Trenton,Zemke Drew
Abstract
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 H1(F;Z) generated by the three sets of curves and the intersection pairing on H1(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.
Publisher
Proceedings of the National Academy of Sciences
Reference12 articles.
1. New results in the theory of 4-dimensional manifolds;Rokhlin;Dokl Akad Nauk SSSR,1952
2. An application of gauge theory to 4-dimensional topology;Donaldson;J Diff Geom,1983
3. The topology of 4-dimensional manifolds;Freedman;J Diff Geom,1982
4. Trisecting 4-manifolds;Gay;Geom Topol,2016
5. Gompf R Stipsicz A (1999) 4-Manifolds and Kirby Calculus. Graduate Studies in Mathematics, (American Mathematical Society, Providence, RI). Vol 20).
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献