The proper geometric dimension of the mapping class group

被引:18
作者
Aramayona, Javier [1 ]
Martinez-Perez, Conchita
机构
[1] Natl Univ Ireland Univ Coll Galway, Sch Math Stat & Appl Math, Galway, Ireland
关键词
SPACE;
D O I
10.2140/agt.2014.14.217
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that the mapping class group of a closed surface admits a cocompact classifying space for proper actions of dimension equal to its virtual cohomological dimension.
引用
收藏
页码:217 / 227
页数:11
相关论文
共 18 条
[1]  
[Anonymous], 2005, PROGR MATH
[2]   ISOTOPIES OF HOMEOMORPHISMS OF RIEMANN SURFACES [J].
BIRMAN, JS ;
HILDEN, HM .
ANNALS OF MATHEMATICS, 1973, 97 (03) :424-439
[3]   On algebraic and geometric dimensions for groups with torsion [J].
Brady, N ;
Leary, IJ ;
Nucinkis, BEA .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2001, 64 :489-500
[4]  
Bridson M.R., 2006, Problems on Mapping Class Groups and Related Topics, P301, DOI [10.1090/pspum/074/2264548, DOI 10.1090/PSPUM/074/2264548]
[5]  
Broughton S A, 1992, OHIO STATE U MATH RE, V1, P77
[6]  
Brown K., 1982, Graduate Texts in Mathematics, V87, DOI DOI 10.1007/978-1-4684-9327-6
[7]  
Farb B., 2012, Princeton Mathematical Series
[9]  
Hensel S, ARXIV12050513
[10]  
Ji L, ARXIV13020877