Connected Fixed Point Sets of Involutions on $\mathbb {H}P^n \times \mathbb {S}^m$

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2025年1月31日

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Dimpi,
Hemant Kumar Singh

摘要

Let $G=\mathbb {Z}_2$ $G = Z_{2}$ act on a finite CW-complex X having mod 2 cohomology isomorphic to the product of quaternionic projective space and sphere $\mathbb {H}P^n\times \mathbb {S}^m,~ n,m\ge 1.$ $H P^{n} \times S^{m}, n, m \geq 1 .$ This paper is concerned with the connected fixed point sets of involutions and the orbit spaces of free involutions on X.

Connected Fixed Point Sets of Involutions on \(\mathbb {H}P^n \times \mathbb {S}^m\)

摘要