2013年
The height of a class in the cohomology ring of polygon spaces
International Journal of Mathematics and Mathematical Sciences
- ,
- 巻
- 2013
- 号
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1155/2013/305926
Let M - n, r be the configuration space of planar n -gons having side lengths 1,., 1 and r modulo isometry group. For generic r, the cohomology ring H · (M - n, r
2) has a form H · (M - n, r
2) = 2 [ R (n, r), V 1,., V n - 1 ] / imagline n, r, where R (n, r) is the first Stiefel-Whitney class of a certain regular 2 -cover π: M n, r LongRightArrow M - n, r and the ideal imagline n, r is in general big. For generic r, we determine the number h (n, r) such that R (n, r) h (n, r) ≠ 0 but R (n, r) h (n, r) + 1 = 0. © 2013 Yasuhiko Kamiyama and Kazufumi Kimoto.
2) has a form H · (M - n, r
2) = 2 [ R (n, r), V 1,., V n - 1 ] / imagline n, r, where R (n, r) is the first Stiefel-Whitney class of a certain regular 2 -cover π: M n, r LongRightArrow M - n, r and the ideal imagline n, r is in general big. For generic r, we determine the number h (n, r) such that R (n, r) h (n, r) ≠ 0 but R (n, r) h (n, r) + 1 = 0. © 2013 Yasuhiko Kamiyama and Kazufumi Kimoto.
- リンク情報
- ID情報
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- DOI : 10.1155/2013/305926
- ISSN : 0161-1712
- ISSN : 1687-0425
- SCOPUS ID : 84897805227