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arXiv.org e-Print Archive
Preprint . 2024
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PL cobordism and classification of PL manifolds

descriptionPublicationkeyboard_double_arrow_right Preprint 19 Jul 2024
Authors: Shen, Wen;

arXiv: 2407.14028

PL cobordism and classification of PL manifolds

Abstract

In this paper, we present more conclusions for $C^\ast(\mathrm{PL})$ and oriented PL cobordism, and compute the string PL bordism groups of certain dimensions. Then, we apply these results to classify certain PL manifolds of dimensions $10$ and $13$.

Keywords

Mathematics - Geometric Topology, Mathematics - Algebraic Topology, 57Q20, 57Q25, 55T15

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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