The mapping degree of a diffeomorphism between polygon spaces

• Kamiyama, Yasuhiko

• 神山, 靖彦

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.

紀要論文

Journal

• Ryukyu mathematical journal

  Ryukyu mathematical journal 26 37-60, 2013-12-28

  Department of Mathematical Science, Faculty of Science, University of the Ryukyus

Details

• CRID: 1050292726806661376
• NII Article ID: 120005373830
• NII Book ID: AA10779580
• ISSN: 1344008X
• HANDLE: 20.500.12000/28374
• NDL BIB ID: 028576622
• Web Site: https://u-ryukyu.repo.nii.ac.jp/records/2007608
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I028576622
• Text Lang: en
• Article Type: departmental bulletin paper
• Data Source:
  • IRDB
  • NDL
  • CiNii Articles
  • KAKEN