Calculating the homology and intersection form of a 4-manifold from a trisection diagram
2018 ◽
Vol 115
(43)
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pp. 10869-10874
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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.
1997 ◽
Vol 262
(1-3)
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pp. 131-163
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