具有有限基群的4-流形的2-稳定分类

arXiv: Geometric Topology Pub Date : 2019-07-27 DOI:10.2140/PJM.2021.310.355

Daniel Kasprowski, P. Teichner

引用次数: 7

摘要

证明了具有有限基本群的两个封闭的连通$4$-流形是$\mathbb{CP}^2$-稳定同纯的当且仅当它们的二次$2$-类型是稳定同构的并且它们的Kirby-Siebenmann不变量是一致的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ℂℙ2-stable classification of 4-manifolds with finite fundamental group

We show that two closed, connected $4$-manifolds with finite fundamental groups are $\mathbb{CP}^2$-stably homeomorphic if and only if their quadratic $2$-types are stably isomorphic and their Kirby-Siebenmann invariant agrees.

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arXiv: Geometric Topology

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