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Remarks on the topology of spatial polygon spaces

Published online by Cambridge University Press:  17 April 2009

Yasuhiko Kamiyama
Yasuhiko Kamiyama
Affiliation:
Department of Mathematics, University of the Ryukyus, Nishihara-Cho, Okinawa 903-01, Japan e-mail: kamiyama@sci.u-ryukyu.ac.jp
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Abstract

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Let Mn be the “polygon space” introduced by Kirwan and Klyachko. In this paper, we give new results on the topology of Mn for odd n. We determine πq(Mn) (q ≤ n − 3). Then we describe Mn in the oriented cobordism ring . We also give new and elementary proofs of the result on the ring structure of H*(Mn/Sn; Q), where Sn denotes the symmetric group acting naturally on Mn.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 3 , December 1998 , pp. 373 - 382
Copyright
Copyright © Australian Mathematical Society 1998

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