A billiard containing all links

被引：1
|
作者：
Dehornoy, Pierre [1 ]
机构：
[1] Ens Lyon, UMPA, F-69364 Lyon, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2011年 / 349卷 / 9-10期
关键词：
D O I：
10.1016/j.crma.2011.04.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a 3-dimensional billiard realizing all links as collections of isotopy classes of periodic orbits. For every branched surface supporting a semi-flow, we construct a 3d-billiard whose collections of periodic orbits contain those of the branched surface. R. Christ constructed a knot-holder containing any link as collection of periodic orbits. Applying our construction to his example provides the desired billiard. (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码：575 / 578
页数：4
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