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arXiv · 2407.14028

PL cobordism and classification of PL manifolds

Wen Shen
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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 $13$.

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Wen Shen. 2024-07-19. PL cobordism and classification of PL manifolds. https://arxiv.org/abs/2407.14028

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