Computations of Gromov-Witten invariants of toric varieties
| Autor: | Muratore, Giosuè |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Journal of Symbolic Computation, 2024, 125, 102330 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jsc.2024.102330 |
| Popis: | We present the Julia package $\verb!ToricAtiyahBott.jl!$, providing an easy way to perform the Atiyah-Bott formula on the moduli space of genus $0$ stable maps $\overline{M}_{0,m}(X,\beta)$ where $X$ is any smooth projective toric variety, and $\beta$ 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 $\beta$, must be defined using the package $\verb!Oscar.jl!$. Comment: 11 pages, examples included |
| Databáze: | arXiv |
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