复属、对称函数和多重zeta值

IF 0.9 2区数学 Q2 MATHEMATICS Journal of Combinatorial Theory Series A Pub Date : 2024-04-03 DOI:10.1016/j.jcta.2024.105893

Ping Li

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引用次数: 0

摘要

我们研究了复属的切尔数前面的系数，并特别关注 Td12 属、Γ 属和 Todd 属。还讨论了超凯勒流形和卡拉比-尤流形的一些相关几何应用。沿着这一思路，在杜比莱 1970 年代工作的基础上，各种霍夫曼式的多重（星形）zeta 值公式和对称函数环的典范基之间的过渡矩阵可以在一个更普遍的框架内统一处理。

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The complex genera, symmetric functions and multiple zeta values

We examine the coefficients in front of Chern numbers for complex genera, and pay special attention to the ${Td}^{\frac{1}{2}}$ -genus, the Γ-genus as well as the Todd genus. Some related geometric applications to hyper-Kähler and Calabi-Yau manifolds are discussed. Along this line and building on the work of Doubilet in 1970s, various Hoffman-type formulas for multiple-(star) zeta values and transition matrices among canonical bases of the ring of symmetric functions can be uniformly treated in a more general framework.

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来源期刊

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.

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