Iterated residue, toric forms and Witten genus
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866929668884529152 |
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| author | Han, Fei Li, Hao Lü, Zhi |
| author_facet | Han, Fei Li, Hao Lü, Zhi |
| contents | We introduce the notion of {\em iterated residue} to study generalized Bott manifolds. When applying the iterated residues to compute the Borisov-Gunnells toric form and the Witten genus of certain toric varieties as well as complete intersections, we obtain interesting vanishing results and some theta function identities, one of which is a twisted version of a classical Rogers-Ramanujan type formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13167 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Iterated residue, toric forms and Witten genus Han, Fei Li, Hao Lü, Zhi Algebraic Topology 55S99, 11Z99 We introduce the notion of {\em iterated residue} to study generalized Bott manifolds. When applying the iterated residues to compute the Borisov-Gunnells toric form and the Witten genus of certain toric varieties as well as complete intersections, we obtain interesting vanishing results and some theta function identities, one of which is a twisted version of a classical Rogers-Ramanujan type formula. |
| title | Iterated residue, toric forms and Witten genus |
| topic | Algebraic Topology 55S99, 11Z99 |
| url | https://arxiv.org/abs/2306.13167 |