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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2403.10765 |
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| _version_ | 1866929279256756224 |
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| author | Liu, Siyao Wang, Yong |
| author_facet | Liu, Siyao Wang, Yong |
| contents | In this paper, we extend the elliptic genus in [10] by the gauge group E_8 and the gauge group E_8*E_8. Then we prove that the generalized elliptic genus are the weak Jacobi forms. Using these elliptic genus, we obtain some SL_2(Z) modular forms and get some new anomaly cancellation formulas of characteristic forms for almost complex manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10765 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anomaly cancellation formulas and E_8 bundles for almost complex manifolds Liu, Siyao Wang, Yong Differential Geometry In this paper, we extend the elliptic genus in [10] by the gauge group E_8 and the gauge group E_8*E_8. Then we prove that the generalized elliptic genus are the weak Jacobi forms. Using these elliptic genus, we obtain some SL_2(Z) modular forms and get some new anomaly cancellation formulas of characteristic forms for almost complex manifolds. |
| title | Anomaly cancellation formulas and E_8 bundles for almost complex manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2403.10765 |