偶数维小圆盘Operad的对数几何模型
代数拓扑
2025-10-15 v3 代数几何
量子代数
摘要
我们使用对数几何为任意正整数d构造了S¹框架化的小2d维圆盘Operad的模型。我们还证明了无框架化的小2d维圆盘Operad具有一个可以通过具有虚拟态射的对数概形来构造的模型。
引用
@article{arxiv.2503.09488,
title = {Log Geometric Models for Little Disks Operads in Even Dimensions},
author = {Oliver Lindström},
journal= {arXiv preprint arXiv:2503.09488},
year = {2025}
}
备注
The first version of this article incorrectly claimed that the S^1-framed little disks operad is formal in every even dimension. This claim has been removed and some minor typos have been fixed in this version. Furthermore a section (4.2) as well as some clarifying remarks and reformulations have been added to provide better geometric intuition and improve the clarity overall