Topological complexity of classical configuration spaces and related objects

被引：5
作者：
Cohen, Daniel C. [1 ]
机构：
[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
来源：
TOPOLOGICAL COMPLEXITY AND RELATED TOPICS | 2018年 / 702卷
基金：
美国国家科学基金会;
关键词：
MOTION; ARRANGEMENTS; ALGEBRAS; PRODUCTS;
D O I：
10.1090/conm/702/14104
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We survey results on the topological complexity of classical configuration spaces of distinct ordered points in orientable surfaces and related spaces, including certain orbit configuration spaces and Eilenberg-Mac Lane spaces associated to certain discrete groups.
引用
收藏
页码：41 / 60
页数：20
相关论文
共 41 条
[1]  
[Anonymous], MACAULAY2 SOFTWARE S
[2]   Gotzmann theorems for exterior algebras and combinatorics [J].
Aramova, A ;
Herzog, J ;
Hibi, T .
JOURNAL OF ALGEBRA, 1997, 191 (01) :174-211
[3]  
Arnold Vladimir Igorevich, 1969, MAT ZAMETKI, V5, P227
[4]   Finite complex reflection arrangements are K(π, 1) [J].
Bessis, David .
ANNALS OF MATHEMATICS, 2015, 181 (03) :809-904
[5]  
BIRMAN J. S., 1974, ANN MATH STUD, V82
[6]  
Brieskorn Egbert, 1973, Lecture Notes in Math., V317, P21
[7]  
CHRIST R, 2001, AMS IP STUD ADV MATH, V24, P29
[8]   Motion planning in tori [J].
Cohen, Daniel C. ;
Pruidze, Goderdzi .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2008, 40 :249-262
[9]   Topological complexity of collision-free motion planning on surfaces [J].
Cohen, Daniel C. ;
Farber, Michael .
COMPOSITIO MATHEMATICA, 2011, 147 (02) :649-660
[10]   Cohomology rings of almost-direct products of free groups [J].
Cohen, Daniel C. .
COMPOSITIO MATHEMATICA, 2010, 146 (02) :465-479
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