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M. Trinh

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Preprint Sep 2026

Free Immersions in Critical Dimension from Lie Groups

We construct free immersions of $P^3 \times S^1$ and $S^3 \times S^1$ into $14$-space. These are the first examples of free immersions in critical dimension of closed manifolds that are not spheres, projective spaces, tori, or surfaces. The idea is to mimic De Leo's construction for $m$-tori with $m \leq 5$. De Leo con...

M. Trinh · 0 citations