Virasoro constraints for topological recursion
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915413645852672 |
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| author | Guo, Shuai Zhang, Qingsheng |
| author_facet | Guo, Shuai Zhang, Qingsheng |
| contents | This is the second paper in a series on {\it Virasoro constraints for Cohomological Field Theory}. We derive the ancestor Virasoro constraints for the topological recursion (TR) for an arbitrary spectral curve and establish the descendent Virasoro constraints for spectral curves satisfying certain conditions. For higher-genus curves, we further establish the corresponding ancestor and descendent Virasoro constraints for the associated non-perturbative generating series. We present several examples that illustrate the comparison between the descendent Virasoro constraints for TR descendent invariants and the original Virasoro constraints for geometric descendent invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20151 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Virasoro constraints for topological recursion Guo, Shuai Zhang, Qingsheng Mathematical Physics Algebraic Geometry 14N35, 37K10 This is the second paper in a series on {\it Virasoro constraints for Cohomological Field Theory}. We derive the ancestor Virasoro constraints for the topological recursion (TR) for an arbitrary spectral curve and establish the descendent Virasoro constraints for spectral curves satisfying certain conditions. For higher-genus curves, we further establish the corresponding ancestor and descendent Virasoro constraints for the associated non-perturbative generating series. We present several examples that illustrate the comparison between the descendent Virasoro constraints for TR descendent invariants and the original Virasoro constraints for geometric descendent invariants. |
| title | Virasoro constraints for topological recursion |
| topic | Mathematical Physics Algebraic Geometry 14N35, 37K10 |
| url | https://arxiv.org/abs/2507.20151 |