具有常余维数2k+2l不动点集的(Z2)k作用

设(Z₂)^k作用作用于光滑闭流形Mⁿ, 其不动点集具有常余维数r, J^r_n,k是具有上述性质的未定向n维上协边类［Mⁿ］构成的 集合.J^r_*,k为未定向上协边环MO_*的理想. 通过构造MO_*的一组生成元证明由所有维数大于2^k+2^l的上协边类及分解式中每个因子的维数都小于2^k的2^k+2^l维可分解上协边类构成.

(Z2) k-Actions of Fixed Point Set with Constant Codimension 2k+ 2l

Let J^r_n,k denote the set of ndimensional cobordism class containing a representative Mⁿ admitting a (Z₂)^k action with fixed point set of constant codimension r. J^r_*,k is an idea of the unoriented cobordism ring MO_*. In this paper, special generators of MO_* are constructed to prove that consists of all classes of dimension greater than 2^k+2^l and the decomposables of dimension 2^k+2^l in which each factor of monomials has dimension less than 2^k.