Actions of the Mapping Class Group

被引：0
作者：
Hamenstaedt, Ursula [1 ]
机构：
[1] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany
来源：
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES | 2010年
关键词：
Mapping class group; isometric actions; geometric rigidity; BOUNDED COHOMOLOGY; SUBGROUPS; GEOMETRY; SURFACE; CURVES; RANK;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let S be a closed oriented surface S of genus g >= 0 with m >= 0 marked points (punctures) and 3g - 3 + m >= 2. This is a survey of recent results on actions of the mapping class group of S which led to a geometric understanding of this group.
引用
收藏
页码：1002 / 1021
页数：20
相关论文
共 50 条
  • [21] A combination theorem for Veech subgroups of the mapping class group
    Leininger, C. J.
    Reid, A. W.
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2006, 16 (02) : 403 - 436
  • [22] STABLE COMMUTATOR LENGTH ON MAPPING CLASS GROUPS
    Bestvina, Mladen
    Bromberg, Ken
    Fujiwara, Koji
    ANNALES DE L INSTITUT FOURIER, 2016, 66 (03) : 871 - 898
  • [23] Higher dimensional divergence for mapping class groups
    Behrstock, Jason
    Drutu, Cornelia
    GROUPS GEOMETRY AND DYNAMICS, 2019, 13 (03) : 1035 - 1056
  • [24] A lower bound of the distortion of the Torelli group in the mapping class group with boundary components
    Kuno, Erika
    Omori, Genki
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2017, 26 (08)
  • [25] A New Boundary of the Mapping Class Group
    Li Xin Liu
    Yao Zhong Shi
    Acta Mathematica Sinica, English Series, 2023, 39 : 885 - 903
  • [26] Bordism invariants of the mapping class group
    Heap, Aaron
    TOPOLOGY, 2006, 45 (05) : 851 - 886
  • [27] Arithmetic quotients of the mapping class group
    Grunewald, Fritz
    Larsen, Michael
    Lubotzky, Alexander
    Malestein, Justin
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2015, 25 (05) : 1493 - 1542
  • [28] Artin relations in the mapping class group
    Mortada, Jamil
    GEOMETRIAE DEDICATA, 2012, 158 (01) : 283 - 300
  • [29] A New Boundary of the Mapping Class Group
    Liu, Li Xin
    Shi, Yao Zhong
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (05) : 885 - 903
  • [30] Artin relations in the mapping class group
    Jamil Mortada
    Geometriae Dedicata, 2012, 158 : 283 - 300
12345