A stability range for topological 4-manifolds

Hambleton, Ian

doi:10.1090/tran/9020

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A stability range for topological 4-manifolds

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Hambleton, Ian
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.48550/arXiv.2209.01189
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https://doi.org/10.1090/tran/9020
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Citation

Hambleton, I. (2023). A stability range for topological 4-manifolds. Transactions of the American Mathematical Society, 376(12), 8769-8793. doi:10.1090/tran/9020.

Cite as: https://hdl.handle.net/21.11116/0000-000E-3AE1-3

Abstract

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 $S^2\times S^2$.