Algebraic & Geometric Topology Volume 12, issue 1 (2012)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

Estimating the higher symmetric topological complexity of spheres

Roman Karasev and Peter Landweber

Algebraic & Geometric Topology 12 (2012) 75–94

DOI: 10.2140/agt.2012.12.75

Bibliography

1	I Basabe, J González, Y B Rudyak, D Tamaki, Higher topological complexity and homotopy dimension of configuration spaces on spheres arXiv:1009.1851
2	H Cartan, Espaces avec groupes d’opérateurs I : Notions préliminaires, Séminaire Henri Cartan 3 (1950–1951)
3	H Cartan, Espaces avec groupes d’opérateurs II : La suite spectrale ; applications, Séminaire Henri Cartan 3 (1950–1951)
4	F R Cohen, L R Taylor, On the representation theory associated to the cohomology of configuration spaces, from: "Algebraic topology (Oaxtepec, 1991)", Contemp. Math. 146, Amer. Math. Soc. (1993) 91 MR1224909
5	C Domínguez, J González, P Landweber, The integral cohomology of configuration spaces of pairs of points in real projective spaces, Forum Math. 24 (2012)
6	E R Fadell, S Y Husseini, Geometry and topology of configuration spaces, , Springer (2001) MR1802644
7	M Farber, Topological complexity of motion planning, Discrete Comput. Geom. 29 (2003) 211 MR1957228
8	M Farber, Invitation to topological robotics, , European Mathematical Society (EMS), Zürich (2008) MR2455573
9	D Handel, On products in the cohomology of the dihedral groups, Tohoku Math. J. 45 (1993) 13 MR1200878
10	N H V Hung, The mod 2 equivariant cohomology algebras of configuration spaces, Pacific J. Math. 143 (1990) 251 MR1051076
11	I J Leary, On the integral cohomology of wreath products, J. Algebra 198 (1997) 184 MR1482981
12	M Nakaoka, Homology of the infinite symmetric group, Ann. of Math. 73 (1961) 229 MR0131874
13	Y B Rudyak, On higher analogs of topological complexity, Topology Appl. 157 (2010) 916 MR2593704
14	A S Schwarz, The genus of a fibered space, Trudy Moskov. Mat. Obšč. 10 (1961) 217 MR0154284
15	G W Whitehead, Note on cross-sections in Stiefel manifolds, Comment. Math. Helv. 37 (1962/1963) 239 MR0148074