## cellularSheaves

swMATH ID: | 25131 |

Software Authors: | Kastner, Lars; Shaw, Kristin; Winz, Anna-Lena |

Description: | Cellular sheaf cohomology in polymake. This is a guide to the polymake extension cellularSheaves. We first define cellular sheaves on polyhedral complexes in Euclidean space, as well as cosheaves, and their (co)homologies. As motivation, we summarize some results from toric and tropical geometry linking cellular sheaf cohomologies to cohomologies of algebraic varieties. We then give an overview of the structure of the extension cellularSheaves for polymake. Finally, we illustrate the usage of the extension with examples from toric and tropical geometry. |

Homepage: | https://github.com/lkastner/cellularSheaves |

Dependencies: | polymake |

Related Software: | polymake |

Referenced in: | 4 Publications |

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### Referenced by 11 Authors

### Referenced in 3 Serials

1 | L’Enseignement Mathématique. 2e Série |

1 | SIAM Journal on Applied Algebra and Geometry |

1 | Annales Henri Lebesgue |

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