论文标题

旋转三角形和瑟斯顿规范:同位素同源

Veering triangulations and the Thurston norm: homology to isotopy

论文作者

Landry, Michael P.

论文摘要

我们表明,一个弯曲的三角剖分$τ$指定了一个封闭的三个manifold的Thurston Norm Ball的脸部$σ$,并计算出锥体中的Thurston Norm以上$σ$。此外,我们表明$τ$完全整理了超过$σ$的圆锥体中的绷紧表面。该分析包括非层次的转向三角形和非纤维面孔。

We show that a veering triangulation $τ$ specifies a face $σ$ of the Thurston norm ball of a closed three-manifold, and computes the Thurston norm in the cone over $σ$. Further, we show that $τ$ collates exactly the taut surfaces representing classes in the cone over $σ$ up to isotopy. The analysis includes nonlayered veering triangulations and nonfibered faces.

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