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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.06944 |
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| _version_ | 1866914640289595392 |
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| author | Guan, Jianyun Wang, Yong Liu, Haiming |
| author_facet | Guan, Jianyun Wang, Yong Liu, Haiming |
| contents | By some SL(2, Z) modular forms introduced in [4] and [10], we construct some modular forms over SL2(Z) and some modular forms over Γ^0(2) and Γ_0(2) in odd dimensions. In parallel, we obtain some new cancellation formulas for odd dimensional spin manifolds and odd dimensional spin^c manifolds respectively. As corollaries, we get some divisibility results of index of the Toeplitz operators on spin manifolds and spin^c manifolds . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06944 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | SL(2,Z) modular forms and Witten genus in odd dimensions Guan, Jianyun Wang, Yong Liu, Haiming Differential Geometry Number Theory By some SL(2, Z) modular forms introduced in [4] and [10], we construct some modular forms over SL2(Z) and some modular forms over Γ^0(2) and Γ_0(2) in odd dimensions. In parallel, we obtain some new cancellation formulas for odd dimensional spin manifolds and odd dimensional spin^c manifolds respectively. As corollaries, we get some divisibility results of index of the Toeplitz operators on spin manifolds and spin^c manifolds . |
| title | SL(2,Z) modular forms and Witten genus in odd dimensions |
| topic | Differential Geometry Number Theory |
| url | https://arxiv.org/abs/2401.06944 |