The Moduli Space of Two-Convex Embedded Tori
The Moduli Space of Two-Convex Embedded Tori
复制标题
二凸嵌入环面的模空间
DOI：
10.1093/imrn/rnx125
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发表时间：
2019
影响因子：
1
通讯作者：
Buzano R
中科院分区：
文献类型：
--
作者：
Buzano R
在这篇短文中，我们研究了两凸嵌入环面的模空间的拓扑。我们证明了对于这个模空间是路径连通的，并且对于这个模空间的连通分量与嵌入的纽结类是双射对应的。我们的证明使用了我们之前的文章中开发的平均曲率流的变体，其中颈部区域变形为微小的字符串，而不是完全切除，这种方法保留了全局拓扑，嵌入性以及双凸性。
In this short article, we investigate the topology of the moduli space of two-convex embedded tori. We prove that forthis moduli space is path connected, and that forthe connected components of the moduli space are in bijective correspondence with the knot classes associated to the embeddings. Our proof uses a variant of mean curvature flow with surgery developed in our earlier article where neck regions are deformed to tiny strings instead of being cut out completely, an approach which preserves the global topology, embeddedness, as well as two-convexity.
影响因子：
3.1
作者：
G. Huisken;C. Sinestrari
通讯作者：
G. Huisken;C. Sinestrari