English

A Step towards Computational Derived Algebraic Geometry: The RepHomology Package For Macaulay2

Algebraic Geometry 2024-10-25 v1 Commutative Algebra

Abstract

We introduce the \verb|Macaulay2| package \verb|RepHomology| for the computations of representation homology of certain spaces. The main methods implement computing the representation homology of surfaces (with group coefficients, and analogies with algebra and Lie algebra coefficients), and the representation homology of link complements.

Keywords

Cite

@article{arxiv.2410.18383,
  title  = {A Step towards Computational Derived Algebraic Geometry: The RepHomology Package For Macaulay2},
  author = {Guanyu Li},
  journal= {arXiv preprint arXiv:2410.18383},
  year   = {2024}
}
R2 v1 2026-06-28T19:33:41.760Z