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 Ω
2n−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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