Fixed Point Sets of Involutions on the Product of Three Spheres

2023/08/10 by Hemant Kumar Singh, Dimpi, Singh, Hemant Kumar
Mathematics · #55M35 #57S17 #Algebraic Topology (math.AT) #FOS: Mathematics #Fixed Point Theorems Analysis

paper · pdf · doi:10.48550/arxiv.2308.05402

openalex publication_date 2023/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G = Z2 act on a finitistic space X having mod 2 cohomology of the product of three spheres Sⁿ x S^m x S^l. In this paper, we have determined the fixed point sets of involutions on X. This generalizes J. C. Su [12] results for involutions on the product of two sphere Sⁿ x S^m.

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