Polyhedral products in abstract and motivic homotopy theory

2024/06/19 by Hornslien, William · 1 citation
#14F42 #55P40 #57S12 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.13540

Abstract

We introduce polyhedral products in an ∞-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 \mathbbA¹-homology, and \mathbbA¹-Euler characteristics.

Cited by

• Cellular \mathbbA¹-Homology of Smooth Toric Varieties

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