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arXiv 1801.05415math.GTmath.SG
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无结带状圆盘的横截面与代数曲线

Cross-sections of unknotted ribbon disks and algebraic curves

Kyle Hayden

摘要:

我们从Kirby的列表中解决了问题1.100的(A)和(B)部分,证明了许多非平凡的链接作为四球中的非纽结全纯圆盘的截面出现。该技术可用于产生具有规定截面的非打结带状表面,包括具有非平凡截面的非打结拉格朗日圆盘。

英文摘要:

We resolve parts (A) and (B) of Problem 1.100 from Kirby's list by showing that many nontrivial links arise as cross-sections of unknotted holomorphic disks in the four-ball. The techniques can be used to produce unknotted ribbon surfaces with prescribed cross-sections, including unknotted Lagrangian disks with nontrivial cross-sections.

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