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arXiv · 2406.13540

Polyhedral products in abstract and motivic homotopy theory

William Hornslien
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Abstract

We introduce polyhedral products in an $\infty$-categorical setting. We generalize a splitting result by Bahri, Bendersky, Cohen, and Gitler that determines the stable homotopy type of the a polyhedral product. We also introduce a motivic refinement of moment-angle complexes and use the splitting result to compute cellular $\mathbb{A}^1$-homology, and $\mathbb{A}^1$-Euler characteristics.

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William Hornslien. 2024-06-19. Polyhedral products in abstract and motivic homotopy theory. https://arxiv.org/abs/2406.13540

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