PreprintarXiv licencearXiv
Combs and complex structures on the six-sphere
Abstract
We construct complex structures on the six-sphere S6 with arbitrarily large local Kuranishi dimension. As a corollary, we find the same phenomenon holds for the smooth manifold underlying complex projective 3-space ℙ3.
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BibTeX
@misc{viaclovsky2026combs,
title = {{Combs and complex structures on the six-sphere}},
author = {Jeff Viaclovsky},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10451},
eprint = {2610.10451},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10451},
}
RIS
TY - UNPB
TI - Combs and complex structures on the six-sphere
AU - Jeff Viaclovsky
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.10451
UR - https://arxiv.org/abs/2610.10451
AB - 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 ℙ^3.
ER -