Involution on the product of projective space and sphere

Dimpi; Hemant Kumar Singh

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arXiv · 2303.16478

Involution on the product of projective space and sphere

Dimpi·Hemant Kumar Singh

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Abstract

Let $G=\mathbb{Z}_2$ act on a finite CW-complex $X$ having mod 2 cohomology isomorphic to the product of projective space and sphere $\mathbb{F}P^n\times \mathbb{S}^m,$ where $\mathbb{F}=\mathbb{R}$ or $\mathbb{C}.$ In this paper, we have determined the connected fixed point sets and the orbit spaces of free involutions on $X.$ As an application, we derive the Borsuk-Ulam type results.

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Dimpi, Hemant Kumar Singh. 2023-03-29. Involution on the product of projective space and sphere. https://arxiv.org/abs/2303.16478

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