PreprintCC BY-SA 4.0arXiv
Finite Cyclic Fundamental Groups and Exotic Universal Covers from the Cartwright--Steger Surface
Abstract
We use a particular nodal curve on the Cartwright-Steger surface to construct minimal symplectic four-manifolds with arbitrary nontrivial finite cyclic fundamental group and fixed topological invariants (e,σ,χh,c12)=(43,1,11,89). Using these symplectic four-manifolds as building blocks, we construct a symplectic 4-manifold that is homeomorphic to (22m−1)ℂℙ2#(21m−1)ℂℙ̅ 2 for any integer m≥ 2.
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BibTeX
@misc{akhmedov2026finite,
title = {{Finite Cyclic Fundamental Groups and Exotic Universal Covers from the Cartwright--Steger Surface}},
author = {Anar Akhmedov and B. Doug Park and Sümeyra Sakallı and Sai-Kee Yeung},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23711},
eprint = {2610.23711},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23711},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - Finite Cyclic Fundamental Groups and Exotic Universal Covers from the Cartwright--Steger Surface
AU - Anar Akhmedov
AU - B. Doug Park
AU - Sümeyra Sakallı
AU - Sai-Kee Yeung
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23711
UR - https://arxiv.org/abs/2610.23711
AB - We use a particular nodal curve on the Cartwright-Steger surface to construct minimal symplectic four-manifolds with arbitrary nontrivial finite cyclic fundamental group and fixed topological invariants (e,σ,χ_h,c_1^2)=(43,1,11,89). Using these symplectic four-manifolds as building blocks, we construct a symplectic 4-manifold that is homeomorphic to (22m−1)ℂℙ^2#(21m−1)ℂℙ̅^ 2 for any integer m≥ 2.
ER -