Floyd's manifold is a conjugation space

Wolfgang Pitsch; Jérôme Scherer

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arXiv · 2105.04868

Floyd's manifold is a conjugation space

Wolfgang Pitsch·Jérôme Scherer

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Abstract

We prove that there is an action of the cyclic group $\mathbf{C}_2$ on the $10$-dimensional Floyd manifold which turns it into a conjugation manifold. The submanifold of fixed points is the $5$-dimensional Floyd manifold, whose cohomology is isomorphic to that of the large one, scaled down by dividing the cohomological degree by a factor two.

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Wolfgang Pitsch, Jérôme Scherer. 2021-05-11. Floyd's manifold is a conjugation space. https://arxiv.org/abs/2105.04868

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