量子 Steenrod 平方的构造及其代数关系
辛几何
2020-09-30 v3
摘要
基于 Fukaya、Betz 和 Cohen 的工作，我们在闭单调辛流形上构造了 Steenrod 平方构造的量子形变。我们证明了 Cartan 关系和 Adem 关系的量子版本。我们计算了所有 CP n 的量子 Steenrod 平方，并给出了所有环面簇的计算方法。作为一个应用，我们还描述了沿子簇爆破的两个例子，其中爆破上的 Steenrod 平方的量子修正由子簇上的经典 Steenrod 平方决定。
引用
@article{arxiv.1805.02438,
title = {A construction of the quantum Steenrod squares and their algebraic relations},
author = {Nicholas Wilkins},
journal= {arXiv preprint arXiv:1805.02438},
year = {2020}
}
备注
68 pages, 13 figures. v3: paper as accepted for publication by Geometry & Topology after peer review, uploaded as per MSP open-access policy. Changes: the title is now correctly capitalised. Updated contact details in the paper. Multiple small changes were made across the paper since v2, mainly to make the exposition clearer