PreprintCC BY 4.0arXiv
On the homotopy automorphism group of simply-connected homology ℂ P3
Abstract
In this paper, we compute the group of homotopy equivalences of closed, smooth, simply connected $6$-manifolds whose integral homology groups are isomorphic to whose of the complex projective space ℂ P3, building on computations of their mapping class groups.
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BibTeX
@misc{kreck2026homotopy,
title = {{On the homotopy automorphism group of simply-connected homology $\mathbb C \mathrm P^3$}},
author = {Matthias Kreck and Yang Su and Shengye Zhu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.09976},
eprint = {2611.09976},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.09976},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On the homotopy automorphism group of simply-connected homology ℂ P^3
AU - Matthias Kreck
AU - Yang Su
AU - Shengye Zhu
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.09976
UR - https://arxiv.org/abs/2611.09976
AB - In this paper, we compute the group of homotopy equivalences of closed, smooth, simply connected $6$-manifolds whose integral homology groups are isomorphic to whose of the complex projective space ℂ P^3, building on computations of their mapping class groups.
ER -