Fu Xu

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20242026

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math.GT2026

On the simplest simply connected rational homology $7$ -spheres that are not $2$ -connected

Fupeng Xu

We give a complete classification of two families of simply connected $7$ -manifolds: $G_{3} (Wu)$ -like manifolds and $G_{3}^{p} (S^{5})$ -like manifolds f…

math.GT2024

Free circle actions on certain simply connected $7 -$ manifolds

Fupeng Xu

In this paper, we determine for which nonnegative integers $k$ , $l$ and for which homotopy $7 -$ sphere $I^£$ the manifold $k S^{2} \times S^{5} # l S^{3} \times S^{4} # I^£$ admits a free s…

On the simplest simply connected rational homology 7-spheres that are not 2-connected

Free circle actions on certain simply connected 7−manifolds

On the simplest simply connected rational homology $7$ -spheres that are not $2$ -connected

Free circle actions on certain simply connected $7 -$ manifolds