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International Journal of Mathematics and Mathematical Sciences
Volume 2013 (2013), Article ID 305926, 7 pages
The Height of a Class in the Cohomology Ring of Polygon Spaces
Department of Mathematics, University of the Ryukyus, Nishihara-Cho, Okinawa 903-0213, Japan
Received 26 September 2013; Accepted 9 December 2013
Academic Editor: Hernando Quevedo
Copyright © 2013 Yasuhiko Kamiyama and Kazufumi Kimoto. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- J. C. Hausmann, “Sur la topologie des bras articules,” in Algebraic Topology Poznań, vol. 1474 of Lecture Notes in Mathematics, pp. 146–159, Springer, Berlin, Germany, 1989.
- M. Kapovich and J. Millson, “On the moduli space of polygons in the Euclidean plane,” Journal of Differential Geometry, vol. 42, no. 2, pp. 430–464, 1995.
- K. Walker, Configuration spaces of linkages [Undergraduate thesis], Princeton University, 1985.
- J.-C. Hausmann and A. Knutson, “The cohomology ring of polygon spaces,” Annales de l'Institut Fourier, vol. 48, no. 1, pp. 281–321, 1998.
- M. Farber, J. Hausmann, and D. Schütz, “On the conjecture of Kevin Walker,” Journal of Topology and Analysis, vol. 1, no. 1, pp. 65–86, 2009.
- Y. Kamiyama, M. Tezuka, and T. Toma, “Homolog y of the configuration spaces of quasi-equilateral polygon linkages,” Transactions of the American Mathematical Society, vol. 350, no. 12, pp. 4869–4896, 1998.
- H. Hiller, “On the cohomology of real Grassmannians,” Transactions of the American Mathematical Society, vol. 257, pp. 521–533, 1980.