Computations of Gromov-Witten invariants of toric varieties
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913679964897280 |
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| author | Muratore, Giosuè |
| author_facet | Muratore, Giosuè |
| contents | We present the Julia package ToricAtiyahBott.jl, providing an easy way to perform the Atiyah-Bott formula on the moduli space of genus $0$ stable maps $\overline{M}_{0,m}(X,β)$ where $X$ is any smooth projective toric variety, and $β$ is any effective $1$-cycle. The list of the supported cohomological cycles contains the most common ones, and it is extensible. We provide a detailed explanation of the algorithm together with many examples and applications. The toric variety $X$, as well as the cohomology class $β$, must be defined using the package Oscar.jl. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_03741 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Computations of Gromov-Witten invariants of toric varieties Muratore, Giosuè Algebraic Geometry 14-04, 14M25, 14N35, 14N10 We present the Julia package ToricAtiyahBott.jl, providing an easy way to perform the Atiyah-Bott formula on the moduli space of genus $0$ stable maps $\overline{M}_{0,m}(X,β)$ where $X$ is any smooth projective toric variety, and $β$ is any effective $1$-cycle. The list of the supported cohomological cycles contains the most common ones, and it is extensible. We provide a detailed explanation of the algorithm together with many examples and applications. The toric variety $X$, as well as the cohomology class $β$, must be defined using the package Oscar.jl. |
| title | Computations of Gromov-Witten invariants of toric varieties |
| topic | Algebraic Geometry 14-04, 14M25, 14N35, 14N10 |
| url | https://arxiv.org/abs/2309.03741 |