Dynamical and cohomological obstructions to extending group actions

被引：3
作者：
Mann, Kathryn [1 ]
Nariman, Sam [2 ]
机构：
[1] Cornell Univ, Dept Math, Ithaca, NY 14850 USA
[2] Univ Copenhagen, Dept Math, Univ Parken 5, DK-2100 Copenhagen, Denmark
来源：
MATHEMATISCHE ANNALEN | 2020年 / 377卷 / 3-4期
基金：
美国国家科学基金会;
关键词：
SURFACE DIFFEOMORPHISM-GROUPS; SMALE CONJECTURE; STABLE MODULI; COBORDISM; HOMOLOGY; CONTINUITY; STABILITY; SPACES;
D O I：
10.1007/s00208-020-01989-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Motivated by a question of Ghys, we study obstructions to extending group actions on the boundary. M of a 3-manifold to a C0-action on M. Among other results, we show that for a 3-manifold M, the S1 x S1 action on the boundary does not extend to a C0-action of S1 x S1 via homeomorphisms that are isotopic to the identity as a discrete group on M, except in the trivial case M similar to= D2 x S1.
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页码：1313 / 1338
页数：26
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