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Heegaard diagram

Heegaard 图

本站译名 几何拓扑与低维拓扑 义项编号TS-2172

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The geometry of fractal sets 封面

《The geometry of fractal sets》 · 第 17–18 页 · Chapter 2,Splittings and Diagrams(本书用一侧环柄体与另一侧压缩曲线记录图)

We can recover \(M\) from a Heegaard diagram; more generally, given a cube with \(n\)-handles, \(V_1\), and a collection \(\{J_1,\ldots,J_n\}\) of pairwise disjoint, 2-sided 1-spheres in \(\partial V_1\) which cut \(\partial V_1\) into a 2-sphere with \(2n\) holes, then \((V_1;J_1,\ldots,J_n)\) is a Heegaard diagram associated with a Heegaard Splitting of a uniquely determined closed 3-manifold \(M\).

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