Gromov-Witten Invariants of Bielliptic Surfaces
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914628528766976 |
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| author | Blomme, Thomas |
| author_facet | Blomme, Thomas |
| contents | Bielliptic surfaces appear as quotient of a product of two elliptic curves and were classified by Bagnera-Franchis. We give a concrete way of computing their GW-invariants with point insertions using a floor diagram algorithm. Using the latter, we are able to prove the quasi-modularity of their generating series by relating them to generating series of graphs for which we also prove quasi-modularity results. We propose a refinement of these invariants by inserting a λ-class in the considered GW-invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01627 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gromov-Witten Invariants of Bielliptic Surfaces Blomme, Thomas Algebraic Geometry Combinatorics 14N10, 14N35, 05A15, 14H52 Bielliptic surfaces appear as quotient of a product of two elliptic curves and were classified by Bagnera-Franchis. We give a concrete way of computing their GW-invariants with point insertions using a floor diagram algorithm. Using the latter, we are able to prove the quasi-modularity of their generating series by relating them to generating series of graphs for which we also prove quasi-modularity results. We propose a refinement of these invariants by inserting a λ-class in the considered GW-invariants. |
| title | Gromov-Witten Invariants of Bielliptic Surfaces |
| topic | Algebraic Geometry Combinatorics 14N10, 14N35, 05A15, 14H52 |
| url | https://arxiv.org/abs/2401.01627 |