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A Complex Structure on A Rational Homology Six-Sphere with Two-Torsion
Abstract
We construct a compact, smooth, simply connected complex threefold. Its second and third integral homology groups are cyclic of order two, and its remaining homology groups agree with those of the six-sphere.
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BibTeX
@misc{wang2026complex,
title = {{A Complex Structure on A Rational Homology Six-Sphere with Two-Torsion}},
author = {Zichang Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11541},
eprint = {2609.11541},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11541},
}
RIS
TY - UNPB
TI - A Complex Structure on A Rational Homology Six-Sphere with Two-Torsion
AU - Zichang Wang
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.11541
UR - https://arxiv.org/abs/2609.11541
AB - We construct a compact, smooth, simply connected complex threefold. Its second and third integral homology groups are cyclic of order two, and its remaining homology groups agree with those of the six-sphere.
ER -