@misc{OpenAIWidth,
  author = {{OpenAI}},
  title = {{Positive scalar curvature and uniform codimension-two width}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Positive-scalar-curvature-and-uniform-codimension-two-width-September-23-2026/paper.pdf}{OAI:Positive-scalar-curvature-and-uniform-codimension-two-width-September-23-2026}},
  year = {2026}
}

@misc{Perelman2002,
  author = {Perelman, Grisha},
  title = {The entropy formula for the {Ricci} flow and its geometric applications},
  year = {2002},
  howpublished = {arXiv:math/0211159},
  doi = {10.48550/arXiv.math/0211159}
}

@article{Gromov2024,
  author = {Gromov, Misha},
  title = {Product inequalities for {$\mathbb T^\rtimes$}-stabilized scalar curvature},
  journal = {SIGMA Symmetry Integrability Geom. Methods Appl.},
  volume = {20},
  year = {2024},
  pages = {038},
  note = {25 pp.},
  doi = {10.3842/SIGMA.2024.038}
}

@article{HirschKazarasKhuriZhang2024,
  author = {Hirsch, Sven and Kazaras, Demetre and Khuri, Marcus and Zhang, Yiyue},
  title = {Spectral torical band inequalities and generalizations of the {Schoen--Yau} black hole existence theorem},
  journal = {Int. Math. Res. Not. IMRN},
  volume = {2024},
  number = {4},
  year = {2024},
  pages = {3139--3175},
  doi = {10.1093/imrn/rnad129}
}

@book{GilbargTrudinger2001,
  author = {Gilbarg, David and Trudinger, Neil S.},
  title = {Elliptic Partial Differential Equations of Second Order},
  edition = {Second},
  series = {Classics in Mathematics},
  publisher = {Springer-Verlag},
  address = {Berlin},
  year = {2001},
  note = {Reprint of the 1998 edition},
  doi = {10.1007/978-3-642-61798-0}
}

@article{Allegretto1974,
  author = {Allegretto, Walter},
  title = {On the equivalence of two types of oscillation for elliptic operators},
  journal = {Pacific J. Math.},
  volume = {55},
  number = {2},
  year = {1974},
  pages = {319--328},
  doi = {10.2140/pjm.1974.55.319}
}

@article{MossPiepenbrink1978,
  author = {Moss, William F. and Piepenbrink, John},
  title = {Positive solutions of elliptic equations},
  journal = {Pacific J. Math.},
  volume = {75},
  number = {1},
  year = {1978},
  pages = {219--226},
  doi = {10.2140/pjm.1978.75.219}
}

@incollection{Korevaar1984,
  author = {Korevaar, Nicholas},
  title = {The normal variations technique for studying the shape of capillary surfaces},
  booktitle = {Variational Methods for Equilibrium Problems of Fluids},
  series = {Ast\'erisque},
  number = {118},
  publisher = {Soci\'et\'e Math\'ematique de France},
  year = {1984},
  pages = {189--195}
}

@article{ChodoshLiLiokumovich2023,
  author = {Chodosh, Otis and Li, Chao and Liokumovich, Yevgeny},
  title = {Classifying sufficiently connected {PSC} manifolds in 4 and 5 dimensions},
  journal = {Geom. Topol.},
  volume = {27},
  number = {4},
  year = {2023},
  pages = {1635--1655},
  doi = {10.2140/gt.2023.27.1635}
}

@incollection{LiokumovichMaximo2023,
  author = {Liokumovich, Yevgeny and Maximo, Davi},
  title = {Waist inequality for 3-manifolds with positive scalar curvature},
  booktitle = {Perspectives in Scalar Curvature},
  volume = {2},
  publisher = {World Scientific},
  year = {2023},
  pages = {799--831}
}

@article{LiokumovichWang2026,
  author = {Liokumovich, Yevgeny and Wang, Zhichao},
  title = {On the waist and width inequality in complete 3-manifolds with positive scalar curvature},
  journal = {Camb. J. Math.},
  volume = {14},
  number = {2},
  year = {2026},
  pages = {349--375},
  doi = {10.4310/cjm.260514230515}
}

@incollection{Gromov1996,
  author = {Gromov, M.},
  title = {Positive curvature, macroscopic dimension, spectral gaps and higher signatures},
  booktitle = {Functional Analysis on the Eve of the 21st Century. Volume II},
  volume = {132},
  series = {Progress in Mathematics},
  editor = {Gindikin, Simon and Lepowsky, James and Wilson, Robert L.},
  publisher = {Birkh\"auser},
  address = {Boston},
  year = {1996},
  pages = {1--213},
  doi = {10.1007/978-1-4612-4098-3_1}
}

@incollection{Gromov1986,
  author = {Gromov, M.},
  title = {Large {Riemannian} manifolds},
  booktitle = {Curvature and Topology of {Riemannian} Manifolds},
  editor = {Shiohama, Katsuhiro and Sakai, Takashi and Sunada, Toshikazu},
  series = {Lecture Notes in Mathematics},
  volume = {1201},
  publisher = {Springer-Verlag},
  address = {Berlin},
  year = {1986},
  pages = {108--121},
  doi = {10.1007/BFb0075649}
}

@incollection{Gromov2023,
  author = {Gromov, Misha},
  title = {Four lectures on scalar curvature},
  booktitle = {Perspectives in Scalar Curvature},
  volume = {1},
  publisher = {World Scientific},
  year = {2023},
  pages = {1--514},
  doi = {10.1142/9789811273223_0001}
}

@article{GromovLawson1983,
  author = {Gromov, M. and Lawson, Jr., H. Blaine},
  title = {Positive scalar curvature and the {Dirac} operator on complete {Riemannian} manifolds},
  journal = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  volume = {58},
  year = {1983},
  pages = {83--196},
  doi = {10.1007/BF02953774}
}
