Special generators of the unoriented cobordism ring MO* are constructed to determine the groups J<sub>n,k</sub><sup>τ</sup> of n-dimensional cobordism classes in MO<sub>n</sub> con...Special generators of the unoriented cobordism ring MO* are constructed to determine the groups J<sub>n,k</sub><sup>τ</sup> of n-dimensional cobordism classes in MO<sub>n</sub> containing a representative M<sup>n</sup> admitting a （Z<sub>2</sub>）<sup>k</sup> -action with fixed point set of constant codimension.展开更多
Special generators of the unoriented cobordism ring MO<sub>*</sub> are constructed to determine some groups J<sub>n,k</sub><sup>l<sub>1</sub>,l<sub>2</sub>,…,l<...Special generators of the unoriented cobordism ring MO<sub>*</sub> are constructed to determine some groups J<sub>n,k</sub><sup>l<sub>1</sub>,l<sub>2</sub>,…,l<sub>m</sub></sup> of cobordism classes in MO<sub>n</sub> containing a representative M<sup>n</sup> admitting a （Z<sub>2</sub>）<sup>k</sup>-action with the fixed point set of（n-l<sub>i</sub>）-dimensional submanifolds of M<sup>n</sup>.展开更多
Let n≥4 and let M^n be a smooth closed n-manifold. Denote the number of the powersin the binary expression of n by α(n). In this paper, we determine, up to cobordism, allthe possible M^n which immerse themselves in ...Let n≥4 and let M^n be a smooth closed n-manifold. Denote the number of the powersin the binary expression of n by α(n). In this paper, we determine, up to cobordism, allthe possible M^n which immerse themselves in R^(2n-α(n)-1), and prove that the Stiefel-Whitneynumber W_(n-α(n))W_α(n) (M^n)=0 iff M^n is cobordant to a smooth closed n-manifold N^n, whereN^n immerses itself in R^(2n-α(n)-1).展开更多
文摘Special generators of the unoriented cobordism ring MO* are constructed to determine the groups J<sub>n,k</sub><sup>τ</sup> of n-dimensional cobordism classes in MO<sub>n</sub> containing a representative M<sup>n</sup> admitting a （Z<sub>2</sub>）<sup>k</sup> -action with fixed point set of constant codimension.
文摘Special generators of the unoriented cobordism ring MO<sub>*</sub> are constructed to determine some groups J<sub>n,k</sub><sup>l<sub>1</sub>,l<sub>2</sub>,…,l<sub>m</sub></sup> of cobordism classes in MO<sub>n</sub> containing a representative M<sup>n</sup> admitting a （Z<sub>2</sub>）<sup>k</sup>-action with the fixed point set of（n-l<sub>i</sub>）-dimensional submanifolds of M<sup>n</sup>.
基金Project supported by the National Natural Science Foundation of China.
文摘Let n≥4 and let M^n be a smooth closed n-manifold. Denote the number of the powersin the binary expression of n by α(n). In this paper, we determine, up to cobordism, allthe possible M^n which immerse themselves in R^(2n-α(n)-1), and prove that the Stiefel-Whitneynumber W_(n-α(n))W_α(n) (M^n)=0 iff M^n is cobordant to a smooth closed n-manifold N^n, whereN^n immerses itself in R^(2n-α(n)-1).
