Characteristic Numbers of Z/P Manifolds
Characteristic Numbers of Z/P Manifolds
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DOI：
10.1112/jlms/s2-14.2.283
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发表时间：
1976-11
影响因子：
1.2
通讯作者：
C. Kosniowski
中科院分区：
文献类型：
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作者：
C. Kosniowski
设p是素数，Z/p表示p阶循环群，在[6]和[7]中，我们给出了U* 上乘法生成H* 2/p（酉Z/p配边环）的1/p流形的列表.这些生成器中的大多数具有Z/p动作扩展到S1动作的属性。因此，我们使用已知的结果，有关S1流形，以获得相应的结果，Z/p流形。在§ 2中，我们证明了下面的模特征数公式，它与[1] § 8中给出的S1流形的公式类似。
Let p be a prime number and let Z/p denote the cyclic group of order p. In [6] and [7] we presented a list of 1/p manifolds which multiplicatively generate H* 2/p (the unitary Z/p bordism ring) over U*. Most of these generators have the property that the Z/p action extends to an S1 action. We therefore use known results concerning S1 manifolds to obtain corresponding results for Z/p manifolds. In § 2 we prove the following modp characteristic numbers formula which is the analogue of the formula for Sl manifolds given in § 8 of [1].