Asymptotic homology of graph braid groups

被引：0
作者：
An, Byung Hee [1 ]
Drummond-cole, Gabriel C. [2 ]
Knudsen, B. E. N. [3 ]
机构：
[1] Kyungpook Natl Univ Daegu, Teachers Coll, Dept Math Educ, Daegu, South Korea
[2] Inst Basic Sci IBS Pohang, Ctr Geometry & Phys, Pohang, South Korea
[3] Northeastern Univ Boston, Math Dept, Boston, MA USA
来源：
GEOMETRY & TOPOLOGY | 2022年 / 26卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
CONFIGURATION-SPACES; STABILITY;
D O I：
10.2140/gt.2022.26.1745
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give explicit formulas for the asymptotic Betti numbers of the unordered configu-ration spaces of an arbitrary finite graph over an arbitrary field.
引用
收藏
页码：1745 / 1771
页数：28
相关论文
共 24 条
  • [1] Abrams A D, 2000, THESIS U CALIFORNIA
  • [2] On the second homology of planar graph braid groups
    An, Byung Hee
    Knudsen, Ben
    [J]. JOURNAL OF TOPOLOGY, 2022, 15 (02) : 666 - 691
  • [3] Edge stabilization in the homology of graph braid groups
    An, Byung Hee
    Drummond-Cole, Gabriel C.
    Knudsen, Ben
    [J]. GEOMETRY & TOPOLOGY, 2020, 24 (01) : 421 - 469
  • [4] An BH, 2019, DOC MATH, V24, P1513
  • [5] Arnold V I, 1969, MAT ZAMETKI, V5, p227?231
  • [6] atkowski J Swi, 2001, COLLOQ MATH-WARSAW, V89, P69
  • [7] ON THE HOMOLOGY OF CONFIGURATION-SPACES
    BODIGHEIMER, CF
    COHEN, F
    TAYLOR, L
    [J]. TOPOLOGY, 1989, 28 (01) : 111 - 123
  • [8] Drummond-Cole GC, 2020, Arxiv, DOI arXiv:1906.00692
  • [9] The homology of configuration spaces of trees with loops
    Chettih, Safia
    Luetgehetmann, Daniel
    [J]. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2018, 18 (04): : 2443 - 2469
  • [10] FI-MODULES AND STABILITY FOR REPRESENTATIONS OF SYMMETRIC GROUPS
    Church, Thomas
    Ellenberg, Jordan S.
    Farb, Benson
    [J]. DUKE MATHEMATICAL JOURNAL, 2015, 164 (09) : 1833 - 1910
123