CYTools: A Software Package for Analyzing Calabi-Yau Manifolds

TL;DR

CYTools is a software package designed to compute and analyze the topological data of Calabi-Yau hypersurfaces in toric varieties, with strong capabilities for handling large polytopes and providing user-friendly tools.

Contribution

This paper introduces CYTools version 1.0, a comprehensive software package for analyzing Calabi-Yau manifolds, including features for triangulating polytopes and optimizing computations.

Findings

Efficient handling of large polytopes in the Kreuzer-Skarke list.

Capabilities for triangulating and analyzing topological data of Calabi-Yau hypersurfaces.

User-friendly functions and tutorials for researchers.

Abstract

We provide a user's guide to version 1.0 of the software package CYTools, which we designed to compute the topological data of Calabi-Yau hypersurfaces in toric varieties. CYTools has strong capabilities in analyzing and triangulating polytopes, and can easily handle even the largest polytopes in the Kreuzer-Skarke list. We explain the main functions and the options that can be used to optimize them, including example computations that illustrate efficient handling of large numbers of polytopes. The software, installation instructions, and a Jupyter notebook tutorial can be found at https://cy.tools.