ToricAtiyahBott
An implementation of the Atiyah-Bott formula for the moduli space of genus 0 stable maps for toric varieties.
Science Score: 44.0%
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Low similarity (12.0%) to scientific vocabulary
Repository
An implementation of the Atiyah-Bott formula for the moduli space of genus 0 stable maps for toric varieties.
Basic Info
- Host: GitHub
- Owner: mgemath
- License: mit
- Language: Julia
- Default Branch: master
- Homepage: https://mgemath.github.io/ToricAtiyahBott.jl/
- Size: 373 KB
Statistics
- Stars: 0
- Watchers: 3
- Forks: 0
- Open Issues: 0
- Releases: 0
Metadata Files
README.md
ToricAtiyahBott.jl
This package is a work-in-progress implementation of the Atiyah-Bott residue formula for the moduli space of genus 0 stable maps to a toric variety in the Julia language.
Full documentation is available here: https://mgemath.github.io/ToricAtiyahBott.jl/.
Installation
This package requires Oscar, so make sure that you can use Oscar before installing this package. See https://www.oscar-system.org/install/.
In order to install this package, type:
julia-repl
julia> using Pkg
julia> Pkg.add("ToricAtiyahBott")
After the installation, simply type:
julia-repl
julia> using ToricAtiyahBott
every time you want to use the program.
To use our code, you need to define the following: X (a toric variety), beta (the cohomology class of a curve), m (the number of marks), P (an equivariant class). See documentation for some examples.
The full list of the currently supported equivariant classes is the following:
julia
ev(j, cc), ev(j, l) (pull back of the class cc (or line bundle l) with respect to the ev_j)
push_ev(l) (push forward with respect to the forgetful map of the pull back of l)
R1_ev(l) (first derived functor of direct image of the pull back of l)
Psi(a) (cycle of psi-classes)
Jet(p,l) (Euler class of the jet bundle J^p with respect to l)
class_one() (the trivial class)
Brief descriptions on these functions can be obtained through the standard help functionality of Julia by typing "?" and then the name of the function.
julia-repl
help?> Psi
Citing
We encourage you to cite our work if you have used our package. See "Cite this repository" on this page.
Owner
- Name: Giosuè Muratore
- Login: mgemath
- Kind: user
- Repositories: 2
- Profile: https://github.com/mgemath
Citation (CITATION.cff)
cff-version: 1.2.0
message: "If you use this software, please cite it as below."
authors:
- family-names: "Muratore"
given-names: "Giosuè"
orcid: "https://orcid.org/0000-0003-0038-1432"
title: "ToricAtiyahBott"
version: 1.1.0
doi: 0
date-released: 2023-06-06
url: "https://github.com/mgemath/ToricAtiyahBott.jl"
preferred-citation:
type: article
authors:
- family-names: "Muratore"
given-names: "Giosuè"
orcid: "https://orcid.org/0000-0003-0038-1432"
doi: "doi.org/10.1016/j.jsc.2024.102330"
journal: "Journal of Symbolic Computation"
month:
start: # First page number
end: # Last page number
title: "Computations of Gromov-Witten invariants of toric varieties"
issue:
volume: 125
year: 2024
url: "https://www.sciencedirect.com/science/article/abs/pii/S0747717124000348"
issn: 0747-7171
GitHub Events
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Last synced: 12 months ago
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Packages
- Total packages: 1
- Total downloads: unknown
- Total dependent packages: 0
- Total dependent repositories: 0
- Total versions: 6
juliahub.com: ToricAtiyahBott
An implementation of the Atiyah-Bott formula for the moduli space of genus 0 stable maps for toric varieties.
- Homepage: https://mgemath.github.io/ToricAtiyahBott.jl/
- Documentation: https://docs.juliahub.com/General/ToricAtiyahBott/stable/
- License: mit
-
Latest release: 1.2.2
published about 1 year ago