Steenrod Operations, Degree Formulas and Algebraic Cobordism
Steenrod Operations, Degree Formulas and Algebraic Cobordism
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Steenrod 运算、度数公式和代数共边
DOI：
10.4310/pamq.2007.v3.n1.a9
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发表时间：
2007
影响因子：
0.7
通讯作者：
M. Levine
中科院分区：
文献类型：
--
作者：
M. Levine
Merkurjev[4]以Brosan的Steenrod运算理论为基础，广泛地构造了Chow环上具有满足“度公式”的值的特征类。在这篇简短的笔记中，我们根据我们的代数协边理论，给出了我们认为在某种程度上更概念化的布鲁斯南的Steenrod运算和Merkurjev的度公式的处理。由于代数余边法需要分解奇点，因此我们的方法仅限于特征零。
Relying on Brosnan’s theory of Steenrod operations [1], Merkurjev [4] has given a wide-ranging construction of characteristic classes with values in the Chow ring which satisfy “degree formulas”. In this brief note, we give what we view as a somewhat more conceptual treatment of both Brosnan’s Steenrod operations and Merkurjev’s degree formulas, relying on our theory of algebraic cobordism. As algebraic cobordism requires resolution of singularities, our approach is limited to characteristic zero.