Volume 19, issue 3 (2019)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 20
Issue 7, 3219–3760
Issue 6, 2687–3218
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Topological complexity of unordered configuration spaces of surfaces

Andrea Bianchi and David Recio-Mitter

Algebraic & Geometric Topology 19 (2019) 1359–1384
Bibliography
1 D C Cohen, Topological complexity of classical configuration spaces and related objects, from: "Topological complexity and related topics" (editors M Grant, G Lupton, L Vandembroucq), Contemp. Math. 702, Amer. Math. Soc. (2018) 41 MR3762831
2 D C Cohen, M Farber, Topological complexity of collision-free motion planning on surfaces, Compos. Math. 147 (2011) 649 MR2776616
3 S Eilenberg, T Ganea, On the Lusternik–Schnirelmann category of abstract groups, Ann. of Math. 65 (1957) 517 MR0085510
4 E Fadell, L Neuwirth, Configuration spaces, Math. Scand. 10 (1962) 111 MR0141126
5 M Farber, Topological complexity of motion planning, Discrete Comput. Geom. 29 (2003) 211 MR1957228
6 M Farber, Topology of robot motion planning, from: "Morse theoretic methods in nonlinear analysis and in symplectic topology" (editors P Biran, O Cornea, F Lalonde), NATO Sci. Ser. II Math. Phys. Chem. 217, Springer (2006) 185 MR2276952
7 M Farber, Configuration spaces and robot motion planning algorithms, from: "Combinatorial and toric homotopy" (editors A Darby, J Grbić, Z Lü, J Wu), Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap. 35, World Sci. (2018) 263 MR3792464
8 M Farber, M Grant, Topological complexity of configuration spaces, Proc. Amer. Math. Soc. 137 (2009) 1841 MR2470845
9 M Farber, M Grant, G Lupton, J Oprea, Bredon cohomology and robot motion planning, preprint (2018) arXiv:1711.10132v2
10 M Farber, S Yuzvinsky, Topological robotics: subspace arrangements and collision free motion planning, from: "Geometry, topology, and mathematical physics" (editors V M Buchstaber, I M Krichever), Amer. Math. Soc. Transl. Ser. 2 212, Amer. Math. Soc. (2004) 145 MR2070052
11 R Ghrist, Configuration spaces and braid groups on graphs in robotics, from: "Knots, braids, and mapping class groups : papers dedicated to Joan S Birman" (editors J Gilman, W W Menasco, X S Lin), AMS/IP Stud. Adv. Math. 24, Amer. Math. Soc. (2001) 29 MR1873106
12 M Grant, G Lupton, J Oprea, New lower bounds for the topological complexity of aspherical spaces, Topology Appl. 189 (2015) 78 MR3342573
13 M Grant, D Recio-Mitter, Topological complexity of subgroups of Artin’s braid groups, from: "Topological complexity and related topics" (editors M Grant, G Lupton, L Vandembroucq), Contemp. Math. 702, Amer. Math. Soc. (2018) 165 MR3762839
14 J P May, The geometry of iterated loop spaces, 271, Springer (1972) MR0420610
15 L Paris, D Rolfsen, Geometric subgroups of surface braid groups, Ann. Inst. Fourier (Grenoble) 49 (1999) 417 MR1697370
16 S Scheirer, Topological complexity of n points on a tree, Algebr. Geom. Topol. 18 (2018) 839 MR3773741
17 J R Stallings, On torsion-free groups with infinitely many ends, Ann. of Math. 88 (1968) 312 MR0228573
18 R G Swan, Groups of cohomological dimension one, J. Algebra 12 (1969) 585 MR0240177