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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2112.01192 |
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| _version_ | 1866909160041349120 |
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| author | Li, Ping |
| author_facet | Li, Ping |
| contents | We examine the coefficients in front of Chern numbers for complex genera, and pay special attention to the $\text{Td}^{\frac{1}{2}}$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_01192 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The complex genera, symmetric functions and multiple zeta values Li, Ping Differential Geometry Algebraic Topology Combinatorics Number Theory 57R20, 05E05, 05A18, 11M32, 53C26 We examine the coefficients in front of Chern numbers for complex genera, and pay special attention to the $\text{Td}^{\frac{1}{2}}$-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. |
| title | The complex genera, symmetric functions and multiple zeta values |
| topic | Differential Geometry Algebraic Topology Combinatorics Number Theory 57R20, 05E05, 05A18, 11M32, 53C26 |
| url | https://arxiv.org/abs/2112.01192 |