Virasoro Constraints for Toric Bundles
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2015
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| _version_ | 1866916119664656384 |
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| author | Coates, Tom Givental, Alexander Tseng, Hsian-Hua |
| author_facet | Coates, Tom Givental, Alexander Tseng, Hsian-Hua |
| contents | We show that the Virasoro conjecture in Gromov--Witten theory holds for the the total space of a toric bundle $E \to B$ if and only if it holds for the base $B$. The main steps are: (i) we establish a localization formula that expresses Gromov--Witten invariants of $E$, equivariant with respect to the fiberwise torus action, in terms of genus-zero invariants of the toric fiber and all-genus invariants of $B$; and (ii) we pass to the non-equivariant limit in this formula, using Brown's mirror theorem for toric bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1508_06282 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Virasoro Constraints for Toric Bundles Coates, Tom Givental, Alexander Tseng, Hsian-Hua Algebraic Geometry 14N35 (Primary), 17B68, 83E30 (Secondary) We show that the Virasoro conjecture in Gromov--Witten theory holds for the the total space of a toric bundle $E \to B$ if and only if it holds for the base $B$. The main steps are: (i) we establish a localization formula that expresses Gromov--Witten invariants of $E$, equivariant with respect to the fiberwise torus action, in terms of genus-zero invariants of the toric fiber and all-genus invariants of $B$; and (ii) we pass to the non-equivariant limit in this formula, using Brown's mirror theorem for toric bundles. |
| title | Virasoro Constraints for Toric Bundles |
| topic | Algebraic Geometry 14N35 (Primary), 17B68, 83E30 (Secondary) |
| url | https://arxiv.org/abs/1508.06282 |