How highly connected can an orbifold be?

被引：1
|
作者：
Lange, Christian [1 ]
Radeschi, Marco [2 ]
机构：
[1] Ludwig Maximilians Univ Munchen, Math Inst, Theresienstr 39, D-80333 Munich, Germany
[2] Univ Notre Dame, Dept Math, 255 Hurley, Notre Dame, IN 46556 USA
来源：
REVISTA MATEMATICA IBEROAMERICANA | 2023年 / 39卷 / 06期
关键词：
Orbifolds; highly connected; RIEMANNIAN FOLIATIONS;
D O I：
10.4171/RMI/1375
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
On the one hand, we provide the first examples of arbitrarily highly connected (compact) bad orbifolds. On the other hand, we show that n-connected n-orbifolds are manifolds. The latter improves the best previously known bound of Lytchak by roughly a factor of 2. For compact orbifolds and in most dimensions, we prove slightly better bounds. We obtain sharp results up to dimension 5.
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页码：2171 / 2186
页数：16
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