A stability range for topological 4-manifolds

Fuente: arXiv
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Main Author: Hambleton, Ian
Format: Preprint
Published: 2022
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_version_ 1866915774519574528
author Hambleton, Ian
author_facet Hambleton, Ian
contents We introduce a new stable range invariant for the classification of closed, oriented topological $4$-manifolds (up to $s$-cobordism), after stabilization by connected sum with a uniformly bounded number of copies of $S^2\times S^2$.
format Preprint
id arxiv_https___arxiv_org_abs_2209_01189
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A stability range for topological 4-manifolds
Hambleton, Ian
Geometric Topology
Algebraic Topology
57K40, 57R67, 57N65
We introduce a new stable range invariant for the classification of closed, oriented topological $4$-manifolds (up to $s$-cobordism), after stabilization by connected sum with a uniformly bounded number of copies of $S^2\times S^2$.
title A stability range for topological 4-manifolds
topic Geometric Topology
Algebraic Topology
57K40, 57R67, 57N65
url https://arxiv.org/abs/2209.01189