Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Chern numbers of the moduli space of spatial polygons
Yasuhiko Kamiyama
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2000 年 23 巻 3 号 p. 380-390

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Let \mathscr{M}n (n≥3) be the moduli space of spatial polygons with n edges. We consider the case of odd n. First we establish a procedure to determine the Chern numbers of \mathscr{M}n. Next we follow the procedure and get a description of \mathscr{M}n (n≤9) in the complex cobordism group Ω2n−6U. Finally we determine some characteristic numbers of \mathscr{M}n. In particular, we calculate the Todd genus of \mathscr{M}n by showing that \mathscr{M}n is birationally equivalent to CPn−3.
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© Department of Mathematics, Tokyo Institute of Technology
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