SUSY 曲线的模空间及其 operad
代数几何
2022-09-13 v2 数学物理
math.MP
摘要
本文将曲线的模空间 operad 推广到 SUSY 曲线。SUSY 曲线是带有附加超对称或超几何结构的代数曲线。此处我们聚焦于相关图范畴及其组合学的描述，以及 SUSY 曲线对偶图的构造，还有取值于带 Neveu-Schwarz 与 Ramond 穿孔的 SUSY 曲线模空间范畴的 SUSY operad 的构建。
引用
@article{arxiv.2202.10321,
title = {Moduli spaces of SUSY curves and their operads},
author = {Enno Keßler and Yuri I. Manin and Yingying Wu},
journal= {arXiv preprint arXiv:2202.10321},
year = {2022}
}
备注
generalized the main result to unlabeled SUSY graphs allowing for automorphisms of corollas; clarified the relationship to the modular operad of moduli spaces of algebraic curves in all genera; improved presentation, in particular in Ch. 4 where we gave an explicit construction of SUSY operads in arbitrary categories