Topological Elliptic Genera I -- The mathematical foundation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913019914616832 |
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| author | Lin, Ying-Hsuan Yamashita, Mayuko |
| author_facet | Lin, Ying-Hsuan Yamashita, Mayuko |
| contents | We construct {\it Topological Elliptic Genera}, homotopy-theoretic refinements of the elliptic genera for $SU$-manifolds and variants including the Witten-Landweber-Ochanine genus. The codomains are genuinely $G$-equivariant Topological Modular Forms developed by Gepner-Meier, twisted by $G$-representations. As the first installment of a series of articles on Topological Elliptic Genera, this issue lays the mathematical foundation and discusses immediate applications. Most notably, we deduce an interesting divisibility result for the Euler numbers of $Sp$-manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02298 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological Elliptic Genera I -- The mathematical foundation Lin, Ying-Hsuan Yamashita, Mayuko Algebraic Topology High Energy Physics - Theory Mathematical Physics 55N34 (Primary), 55P91, 55N22 (Secondary) We construct {\it Topological Elliptic Genera}, homotopy-theoretic refinements of the elliptic genera for $SU$-manifolds and variants including the Witten-Landweber-Ochanine genus. The codomains are genuinely $G$-equivariant Topological Modular Forms developed by Gepner-Meier, twisted by $G$-representations. As the first installment of a series of articles on Topological Elliptic Genera, this issue lays the mathematical foundation and discusses immediate applications. Most notably, we deduce an interesting divisibility result for the Euler numbers of $Sp$-manifolds. |
| title | Topological Elliptic Genera I -- The mathematical foundation |
| topic | Algebraic Topology High Energy Physics - Theory Mathematical Physics 55N34 (Primary), 55P91, 55N22 (Secondary) |
| url | https://arxiv.org/abs/2412.02298 |