Algebraic & Geometric Topology Volume 9, issue 1 (2009)

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Symmetric topological complexity of projective and lens spaces

Jesús González and Peter Landweber

Algebraic & Geometric Topology 9 (2009) 473–494

DOI: 10.2140/agt.2009.9.473

Bibliography

1	J Adem, S Gitler, I M James, On axial maps of a certain type, Bol. Soc. Mat. Mexicana $(2)$ 17 (1972) 59 MR0336757
2	L Astey, D M Davis, J González, Generalized axial maps and Euclidean immersions of lens spaces, Bol. Soc. Mat. Mexicana $(3)$ 9 (2003) 151 MR1988595
3	M F Atiyah, F Hirzebruch, Quelques théorèmes de non-plongement pour les variétés différentiables, Bull. Soc. Math. France 87 (1959) 383 MR0114231
4	A J Berrick, S Feder, S Gitler, Symmetric axial maps and embeddings of projective spaces, Bol. Soc. Mat. Mexicana $(2)$ 21 (1976) 39 MR0646069
5	Z D Dai, T Y Lam, Levels in algebra and topology, Comment. Math. Helv. 59 (1984) 376 MR761805
6	D M Davis, Table of immersions and embeddings of real projective spaces
7	D M Davis, A strong nonimmersion theorem for real projective spaces, Ann. of Math. $(2)$ 120 (1984) 517 MR769162
8	M Farber, Topological complexity of motion planning, Discrete Comput. Geom. 29 (2003) 211 MR1957228
9	M Farber, Instabilities of robot motion, Topology Appl. 140 (2004) 245 MR2074919
10	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
11	M Farber, Invitation to topological robotics, Zurich Lect. in Adv. Math., Eur. Math. Soc. (2008) MR2455573
12	M Farber, M Grant, Symmetric motion planning, from: "Topology and robotics" (editors M Farber, R Ghrist, M Burger, D Koditschek), Contemp. Math. 438, Amer. Math. Soc. (2007) 85 MR2359031
13	M Farber, M Grant, Robot motion planning, weights of cohomology classes, and cohomology operations, Proc. Amer. Math. Soc. 136 (2008) 3339 MR2407101
14	M Farber, S Tabachnikov, S Yuzvinsky, Topological robotics: motion planning in projective spaces, Int. Math. Res. Not. (2003) 1853 MR1988783
15	J González, Connective $K$–theoretic Euler classes and non-immersions of $2^k$–lens spaces, J. London Math. Soc. $(2)$ 63 (2001) 247 MR1802770
16	J González, Topological robotics in lens spaces, Math. Proc. Cambridge Philos. Soc. 139 (2005) 469 MR2177172
17	A Haefliger, Plongements différentiables dans le domaine stable, Comment. Math. Helv. 37 (1962) 155 MR0157391
18	A Haefliger, M W Hirsch, Immersions in the stable range, Ann. of Math. $(2)$ 75 (1962) 231 MR0143224
19	H Hopf, Systeme symmetrischer Bilinearformen und euklidische Modelle der projektiven Räume, Vierteljschr. Naturforsch. Ges. Zürich 85 (1940) 165 MR0004112
20	W C Hsiang, R H Szczarba, On the embeddability and nonembeddability of certain parallelizable manifolds, Bull. Amer. Math. Soc. 69 (1963) 534 MR0153024
21	A Mukherjee, Embedding complex projective spaces in Euclidean space, Bull. London Math. Soc. 13 (1981) 323 MR620045
22	E Rees, Embedding odd torsion manifolds, Bull. London Math. Soc. 3 (1971) 356 MR0296964
23	E Rees, Embeddings of real projective spaces, Topology 10 (1971) 309 MR0288778
24	A S Schwarz, The genus of a fiber space, Amer. Math. Soc. Transl., Ser. 2 55 (1966) 49
25	T A Shimkus, Some new immersions and nonimmersions of $2^r$–torsion lens spaces, Bol. Soc. Mat. Mexicana $(3)$ 9 (2003) 339 MR2029281
26	B Steer, On the embedding of projective spaces in Euclidean space, Proc. London Math. Soc. $(3)$ 21 (1970) 489 MR0286095
27	T Yasui, The reduced symmetric product of a complex projective space and the embedding problem, Hiroshima Math. J. 1 (1971) 27 MR0314072