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figure-eight 纽结的有限体积真凸形变

几何拓扑 2016-03-22 v3

作者: Samuel A. Ballas

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

本文证明了在\cite{Ballas12a}中发现的 figure-eight 纽结补集基本群表示的某个开集，是该纽结补集上一族有限体积真凸射影结构的全纯。

关键词

figure-eight 纽结有限体积真凸射影结构基本群全纯形变

引用

@article{arxiv.1403.3314,
  title  = {Finite Volume Properly Convex Deformations of the Figure-eight Knot},
  author = {Samuel A. Ballas},
  journal= {arXiv preprint arXiv:1403.3314},
  year   = {2016}
}

备注

21 pages, 7 figure. Incorporated additional referee comments, fixed typos. Simplified the proof of Lemma 3.3. To appear in Geometriae Dedicata