PreprintCC BY 4.0arXiv
A Counterexample to Cohomological Rigidity of Toric Manifolds
Abstract
We construct two toric manifolds of complex dimension four, which are not homotopy equivalent but have isomorphic integral cohomology rings.
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BibTeX
@misc{gong2026counterexample,
title = {{A Counterexample to Cohomological Rigidity of Toric Manifolds}},
author = {Tao Gong and Yingxin Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.39707},
eprint = {2609.39707},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39707},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Counterexample to Cohomological Rigidity of Toric Manifolds
AU - Tao Gong
AU - Yingxin Li
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2609.39707
UR - https://arxiv.org/abs/2609.39707
AB - We construct two toric manifolds of complex dimension four, which are not homotopy equivalent but have isomorphic integral cohomology rings.
ER -