@article{Arnold1986,
  author = {Arnol'd, Vladimir I.},
  title = {First steps in symplectic topology},
  journal = {Russian Mathematical Surveys},
  volume = {41},
  number = {6},
  pages = {1--21},
  year = {1986},
  doi = {10.1070/RM1986v041n06ABEH004221}
}

@article{ConleyZehnder1983,
  author = {Conley, Charles C. and Zehnder, Eduard},
  title = {The {Birkhoff--Lewis} fixed point theorem and a conjecture of {V. I. Arnold}},
  journal = {Inventiones Mathematicae},
  volume = {73},
  number = {1},
  pages = {33--49},
  year = {1983},
  doi = {10.1007/BF01393824}
}

@article{Floer1989,
  author = {Floer, Andreas},
  title = {Symplectic fixed points and holomorphic spheres},
  journal = {Communications in Mathematical Physics},
  volume = {120},
  number = {4},
  pages = {575--611},
  year = {1989},
  doi = {10.1007/BF01260388}
}

@article{Damian2002,
  author = {Damian, Mihai},
  title = {On the stable {Morse} number of a closed manifold},
  journal = {Bulletin of the London Mathematical Society},
  volume = {34},
  number = {4},
  pages = {420--430},
  year = {2002},
  doi = {10.1112/S0024609301008955}
}

@incollection{DRG2017,
  author = {{Dimitroglou Rizell}, Georgios and Golovko, Roman},
  title = {The number of {Hamiltonian} fixed points on symplectically aspherical manifolds},
  booktitle = {Proceedings of the G{\"o}kova Geometry-Topology Conference 2016},
  publisher = {International Press},
  pages = {138--150},
  year = {2017},
  eprint = {1609.04776},
  archivePrefix = {arXiv},
  note = {Preprint version: arXiv:1609.04776v2},
  url = {https://arxiv.org/abs/1609.04776v2}
}

@article{Golovko2020,
  author = {Golovko, Roman},
  title = {On variants of {Arnold} conjecture},
  journal = {Archivum Mathematicum},
  volume = {56},
  number = {5},
  pages = {277--286},
  year = {2020},
  doi = {10.5817/AM2020-5-277}
}

@misc{AbouzaidBlumberg2021,
  author = {Abouzaid, Mohammed and Blumberg, Andrew J.},
  title = {{Arnold} conjecture and {Morava} {$K$}-theory},
  year = {2021},
  eprint = {2103.01507},
  archivePrefix = {arXiv},
  note = {Preprint, arXiv:2103.01507},
  url = {https://arxiv.org/abs/2103.01507}
}

@misc{BaiXu2022,
  author = {Bai, Shaoyun and Xu, Guangbo},
  title = {{Arnold} conjecture over integers},
  year = {2022},
  eprint = {2209.08599},
  archivePrefix = {arXiv},
  note = {Preprint, arXiv:2209.08599},
  url = {https://arxiv.org/abs/2209.08599}
}

@misc{BaiXu2026,
  author = {Bai, Shaoyun and Xu, Guangbo},
  title = {Integral {Hamiltonian Floer} theory: Foundations},
  year = {2026},
  eprint = {2606.15847},
  archivePrefix = {arXiv},
  note = {Preprint, arXiv:2606.15847},
  url = {https://arxiv.org/abs/2606.15847}
}

@misc{PoderBalkestahl2021,
  author = {{P{\"o}der Balkest{\aa}hl}, Sebastian},
  title = {Simple homotopy type of the {Hamiltonian Floer} complex},
  year = {2021},
  eprint = {2110.10592},
  archivePrefix = {arXiv},
  note = {Preprint, arXiv:2110.10592},
  url = {https://arxiv.org/abs/2110.10592}
}

@article{Smale1963,
  author = {Smale, Stephen},
  title = {A survey of some recent developments in differential topology},
  journal = {Bulletin of the American Mathematical Society},
  volume = {69},
  number = {2},
  pages = {131--145},
  year = {1963},
  doi = {10.1090/S0002-9904-1963-10901-5}
}

@incollection{Cerf1962,
  author = {Cerf, Jean},
  title = {Travaux de {Smale} sur la structure des vari{\'e}t{\'e}s},
  booktitle = {S{\'e}minaire Bourbaki: ann{\'e}e 1961/62, expos{\'e}s 223--240},
  series = {S{\'e}minaire Bourbaki},
  volume = {7},
  publisher = {Soci{\'e}t{\'e} math{\'e}matique de France},
  pages = {113--128},
  year = {1962},
  note = {Expos{\'e} no. 230},
  url = {https://www.numdam.org/item/SB_1961-1962__7__113_0/}
}

@book{Milnor1963,
  author = {Milnor, John},
  title = {{Morse} Theory},
  series = {Annals of Mathematics Studies},
  volume = {51},
  publisher = {Princeton University Press},
  address = {Princeton, NJ},
  year = {1963}
}

@book{Milnor1965,
  author = {Milnor, John},
  title = {Lectures on the {$h$}-Cobordism Theorem},
  publisher = {Princeton University Press},
  address = {Princeton, NJ},
  year = {1965},
  note = {Notes by L. Siebenmann and J. Sondow}
}

@misc{DuanLi2009,
  author = {Duan, Haibao and Li, Banghe},
  title = {Topology of blow-ups and enumerative geometry},
  year = {2009},
  eprint = {0906.4152},
  archivePrefix = {arXiv},
  note = {Preprint, arXiv:0906.4152v7, revised 2016},
  url = {https://arxiv.org/abs/0906.4152v7}
}

@article{Blomme2025,
  author = {Blomme, Thomas},
  title = {{Gromov--Witten} invariants of bielliptic surfaces},
  journal = {Journal of the London Mathematical Society},
  volume = {111},
  number = {2},
  pages = {e70081},
  year = {2025},
  doi = {10.1112/jlms.70081}
}

@article{Yorke1969,
  author = {Yorke, James A.},
  title = {Periods of periodic solutions and the {Lipschitz} constant},
  journal = {Proceedings of the American Mathematical Society},
  volume = {22},
  number = {2},
  pages = {509--512},
  year = {1969},
  doi = {10.1090/S0002-9939-1969-0245916-7}
}

@misc{OpenAI2026Stable,
  author = {{OpenAI}},
  title = {{Hamiltonian Fixed Points Below the Stable Morse Number}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Hamiltonian-Fixed-Points-Below-the-Stable-Morse-Number-October-5-2026/paper.pdf}{OAI:Hamiltonian-Fixed-Points-Below-the-Stable-Morse-Number-October-5-2026}},
  year = {2026}
}