论文标题
耳环缠结在枕套上诱导的对应关系
The correspondence induced on the pillowcase by the earring tangle
论文作者
论文摘要
耳环缠结由四个股4pt x [0,1]组成，内部s^2 x [0,1]和一条链周围的一个子午线。将这种缠结的纠缠与非平凡的捆绑（3）束，我们表明其无纹状体SU（2）平坦的模量空间在拓扑上是光滑的三个表面。我们还表明，耳环缠结边界边界边界的无可露式平坦模量空间的限制图是特定的拉格朗日浸入两个枕套的产品中。后者的计算表明，图8泡泡（Bottman and Wehrheim预测的一种微妙的变性现象）出现在无可怜的角色品种的背景下。
The earring tangle consists of four strands 4pt x [0,1] inside S^2 x [0,1] and one meridian around one of the strands. Equipping this tangle with a nontrivial SO(3) bundle, we show that its traceless SU(2) flat moduli space is topologically a smooth genus three surface. We also show that the restriction map from this surface to the traceless flat moduli space of the boundary of the earring tangle is a particular Lagrangian immersion into the product of two pillowcases. The latter computation suggests that figure eight bubbling -- a subtle degeneration phenomenon predicted by Bottman and Wehrheim -- appears in the context of traceless character varieties.
