Bordism of elementary abelian groups via inessential Brown–Peterson homology
Bordism of elementary abelian groups via inessential Brown–Peterson homology
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DOI：
10.1112/jtopol/jtw009
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发表时间：
2015-03
影响因子：
1.1
通讯作者：
B. Hanke
中科院分区：
文献类型：
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作者：
B. Hanke
当p是奇素数时，我们计算自由定向（Z/p）n-流形作为Ω* SO上的模的等变边。我们表明，除其他外，这个模块是规范同构的直接和悬浮液的多个张量产品Ω* SO（BZ/p），它是由标准的透镜空间的产品。这大大改善了以前的计算由不同的作者。
We compute the equivariant bordism of free oriented (Z/p)n ‐manifolds as a module over Ω* SO , when p is an odd prime. We show, among others, that this module is canonically isomorphic to a direct sum of suspensions of multiple tensor products of Ω* SO (BZ/p) , and that it is generated by products of standard lens spaces. This considerably improves previous calculations by various authors.