Computations of Gromov-Witten invariants of toric varieties

被引：1
作者：
Muratore, Giosue [1 ]
机构：
[1] ULisboa, CMAFcIO, Fac Ciencias, Campo Grande, P-1749016 Lisbon, Portugal
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2024年 / 125卷
关键词：
Toric varieties; Julia; Gromov-Witten; Scientific computing; Stable maps; Rational curve; CURVES;
D O I：
10.1016/j.jsc.2024.102330
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
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 M0,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 Oscar.jl. (c) 2024 Elsevier Ltd. All rights reserved.
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页数：11
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