Algebraic & Geometric Topology Volume 14, issue 6 (2014)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

The Euler characteristic of the configuration space of planar spidery linkages

Yasuhiko Kamiyama and Shuichi Tsukuda

Algebraic & Geometric Topology 14 (2014) 3659–3688

DOI: 10.2140/agt.2014.14.3659

Bibliography

1	A Bahri, M Bendersky, F R Cohen, S Gitler, The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces, Adv. Math. 225 (2010) 1634 MR2673742
2	R Bott, Nondegenerate critical manifolds, Ann. of Math. 60 (1954) 248 MR0064399
3	G E Bredon, Introduction to compact transformation groups, Pure and Applied Math. 46, Academic Press (1972) MR0413144
4	V M Buchstaber, T E Panov, Torus actions and their applications in topology and combinatorics, Univ. Lecture Series 24, Amer. Math. Soc. (2002) MR1897064
5	M W Davis, T Januszkiewicz, Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62 (1991) 417 MR1104531
6	M Farber, D Schütz, Homology of planar polygon spaces, Geom. Dedicata 125 (2007) 75 MR2322541
7	J C Hausmann, Sur la topologie des bras articulés, from: "Algebraic topology Poznań 1989" (editors S Jackowski, B Oliver, K Pawałowski), Lecture Notes in Math. 1474, Springer (1991) 146 MR1133898
8	Y Kamiyama, Topology of equilateral polygon linkages, Topology Appl. 68 (1996) 13 MR1370925
9	Y Kamiyama, S Tsukuda, The configuration space of the $n$–arms machine in the Euclidean space, Topology Appl. 154 (2007) 1447 MR2310477
10	M Kapovich, J Millson, On the moduli space of polygons in the Euclidean plane, J. Differential Geom. 42 (1995) 430 MR1366551
11	A A Klyachko, Spatial polygons and stable configurations of points in the projective line, from: "Algebraic geometry and its applications" (editors A Tikhomirov, A Tyurin), Aspects Math. E25, Vieweg (1994) 67 MR1282021
12	D McDuff, D Salamon, Introduction to symplectic topology, Oxford Math. Monographs, Oxford Univ. Press (1998) MR1698616
13	J O’Hara, The configuration space of planar spidery linkages, Topology Appl. 154 (2007) 502 MR2278700
14	N Shvalb, M Shoham, D Blanc, The configuration space of arachnoid mechanisms, Forum Math. 17 (2005) 1033 MR2195717
15	K Walker, Configuration spaces of linkages, Bachelor’s thesis, Princeton University (1985)