The mapping degree of a diffeomorphism between polygon spaces: University of the Ryukyus Repository


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Title	:	The mapping degree of a diffeomorphism between polygon spaces
Authors	:	Kamiyama, Yasuhiko
Authors alternative	:	神山, 靖彦
Issue Date	:	28-Dec-2013
Abstract	:	Let M_n be the moduli space of equilateral polygon linkages with n vertices, each edge having length 1 in the Euclidean plane R^2 modulo orientation preserving isometry group of R^2. For a given diffeomorphism φ:M_n→M_n, we give a method to determine whether φ preserves the orientation or not. We also determine H_*(M_n/φ;Q) when φ is a certain involution.
Type Local	:	紀要論文
ISSN	:	1344-008X
Publisher	:	Department of Mathematical Science, Faculty of Science, University of the Ryukyus
URI	:	http://hdl.handle.net/20.500.12000/28374
Citation	:	Ryukyu mathematical journal Vol.26 p.37 -60
Appears in Collections	:	Vol.26 (2013)

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