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arXiv · 2610.10451

Combs and complex structures on the six-sphere

Jeff Viaclovsky
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Abstract

We construct complex structures on the six-sphere $S^6$ with arbitrarily large local Kuranishi dimension. As a corollary, we find the same phenomenon holds for the smooth manifold underlying complex projective 3-space $\mathbb{P}^3$.

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Jeff Viaclovsky. 2026-10-07. Combs and complex structures on the six-sphere. https://arxiv.org/abs/2610.10451

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