@article{Gromov1982,
  author = {Gromov, Mikhael},
  title = {Volume and bounded cohomology},
  journal = {Publications Math{\'e}matiques de l'IH{\'E}S},
  volume = {56},
  year = {1982},
  pages = {5--99},
  doi = {10.1007/BF02698699},
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  note = {\href{https://doi.org/10.1007/BF02698699}{DOI}}
}

@incollection{Gromov1986,
  author = {Gromov, Mikhael},
  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},
  address = {Berlin},
  year = {1986},
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  doi = {10.1007/BFb0075649},
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  note = {\href{https://doi.org/10.1007/BFb0075649}{DOI}}
}

@incollection{Gromov2023,
  author = {Gromov, Misha},
  title = {Four lectures on scalar curvature},
  booktitle = {Perspectives in Scalar Curvature. Vol. 1},
  publisher = {World Scientific},
  address = {Hackensack, NJ},
  year = {2023},
  pages = {1--514},
  doi = {10.1142/9789811273223_0001},
  eprint = {1908.10612},
  archivePrefix = {arXiv},
  note = {Section locators refer to the author's version: \href{https://arxiv.org/abs/1908.10612v6}{arXiv:1908.10612v6}. \href{https://doi.org/10.1142/9789811273223_0001}{DOI}},
  url = {https://arxiv.org/abs/1908.10612v6}
}

@incollection{Hanke2011,
  author = {Hanke, Bernhard},
  title = {Positive scalar curvature, {$K$}-area and essentialness},
  booktitle = {Global Differential Geometry},
  editor = {B{\"a}r, Christian and Lohkamp, Joachim and Schwarz, Matthias},
  series = {Springer Proceedings in Mathematics},
  volume = {17},
  publisher = {Springer},
  address = {Berlin},
  year = {2012},
  pages = {275--302},
  doi = {10.1007/978-3-642-22842-1_10},
  url = {https://arxiv.org/abs/1011.3987v2},
  note = {Definition and conjecture numbers refer to \href{https://arxiv.org/abs/1011.3987v2}{arXiv:1011.3987v2}. \href{https://doi.org/10.1007/978-3-642-22842-1_10}{DOI}}
}

@article{CecchiniSchick2021,
  author = {Cecchini, Simone and Schick, Thomas},
  title = {Enlargeable metrics on nonspin manifolds},
  journal = {Proceedings of the American Mathematical Society},
  volume = {149},
  number = {5},
  year = {2021},
  pages = {2199--2211},
  doi = {10.1090/proc/14706},
  url = {https://arxiv.org/abs/1810.02116v4},
  note = {\href{https://doi.org/10.1090/proc/14706}{DOI}; author's version: \href{https://arxiv.org/abs/1810.02116v4}{arXiv:1810.02116v4}}
}

@misc{MaWangXieYuZhu2026,
  author = {Ma, Qiaochu and Wang, Jinmin and Xie, Zhizhang and Yu, Guoliang and Zhu, Bo},
  title = {{Gromov}'s simplicial volume vanishing conjecture for positive scalar curvature},
  year = {2026},
  eprint = {2606.29135},
  archivePrefix = {arXiv},
  primaryClass = {math.DG},
  note = {\href{https://arxiv.org/abs/2606.29135v4}{arXiv:2606.29135v4}, 28 August 2026},
  url = {https://arxiv.org/abs/2606.29135v4}
}

@misc{BiZhu2026,
  author = {Bi, Yuchen and Zhu, Jintian},
  title = {Positive scalar curvature obstructions via singular dimension descent},
  year = {2026},
  eprint = {2606.20528},
  archivePrefix = {arXiv},
  primaryClass = {math.DG},
  note = {\href{https://arxiv.org/abs/2606.20528v3}{arXiv:2606.20528v3}, 11 September 2026},
  url = {https://arxiv.org/abs/2606.20528v3}
}

@article{Thom1954,
  author = {Thom, Ren{\'e}},
  title = {Quelques propri{\'e}t{\'e}s globales des vari{\'e}t{\'e}s diff{\'e}rentiables},
  journal = {Commentarii Mathematici Helvetici},
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  pages = {17--86},
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@book{Hatcher2002,
  author = {Hatcher, Allen},
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  note = {\href{https://pi.math.cornell.edu/~hatcher/AT/AT.pdf}{Author's text}}
}

@article{Hamilton1982,
  author = {Hamilton, Richard S.},
  title = {Three-manifolds with positive {Ricci} curvature},
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@book{Topping2006,
  author = {Topping, Peter},
  title = {Lectures on the {Ricci} Flow},
  series = {London Mathematical Society Lecture Note Series},
  volume = {325},
  publisher = {Cambridge University Press},
  address = {Cambridge},
  year = {2006},
  doi = {10.1017/CBO9780511721465},
  url = {https://warwick.ac.uk/fac/sci/maths/people/staff/peter_topping/rfnotes/topping_rf_mar06.pdf},
  note = {Theorem locators refer to the author's notes of 9 March 2006. \href{https://doi.org/10.1017/CBO9780511721465}{DOI}}
}

@book{GilbargTrudinger2001,
  author = {Gilbarg, David and Trudinger, Neil S.},
  title = {Elliptic Partial Differential Equations of Second Order},
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  publisher = {Springer},
  address = {Berlin},
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  doi = {10.1007/978-3-642-61798-0},
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}

@misc{SchoenYau2017,
  author = {Schoen, Richard and Yau, Shing-Tung},
  title = {Positive scalar curvature and minimal hypersurface singularities},
  year = {2017},
  eprint = {1704.05490},
  archivePrefix = {arXiv},
  primaryClass = {math.DG},
  note = {\href{https://arxiv.org/abs/1704.05490v1}{arXiv:1704.05490v1}},
  url = {https://arxiv.org/abs/1704.05490v1}
}

@article{GromovLawson1983,
  author = {Gromov, Mikhael and Lawson, Jr., H. Blaine},
  title = {Positive scalar curvature and the {Dirac} operator on complete {Riemannian} manifolds},
  journal = {Publications Math{\'e}matiques de l'IH{\'E}S},
  volume = {58},
  year = {1983},
  pages = {83--196},
  doi = {10.1007/BF02953774},
  url = {https://www.numdam.org/item/PMIHES_1983__58__83_0/},
  note = {\href{https://doi.org/10.1007/BF02953774}{DOI}}
}

@article{SchoenYauStructure1979,
  author = {Schoen, Richard and Yau, Shing-Tung},
  title = {On the structure of manifolds with positive scalar curvature},
  journal = {Manuscripta Mathematica},
  volume = {28},
  year = {1979},
  pages = {159--183},
  doi = {10.1007/BF01647970},
  note = {\href{https://doi.org/10.1007/BF01647970}{DOI}}
}

@article{SchoenYauIncompressible1979,
  author = {Schoen, Richard and Yau, Shing-Tung},
  title = {Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {110},
  number = {1},
  year = {1979},
  pages = {127--142},
  doi = {10.2307/1971247},
  url = {https://annals.math.princeton.edu/1979/110-1/p04},
  note = {\href{https://doi.org/10.2307/1971247}{DOI}}
}

@article{ChodoshLi2024,
  author = {Chodosh, Otis and Li, Chao},
  title = {Generalized soap bubbles and the topology of manifolds with positive scalar curvature},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {199},
  number = {2},
  year = {2024},
  pages = {707--740},
  doi = {10.4007/annals.2024.199.2.3},
  url = {https://annals.math.princeton.edu/2024/199-2/p03},
  eprint = {2008.11888},
  archivePrefix = {arXiv},
  note = {Author's version: arXiv:2008.11888v4}
}

@incollection{ChodoshLiSurvey2023,
  author = {Chodosh, Otis and Li, Chao},
  title = {Recent results concerning topological obstructions to positive scalar curvature},
  booktitle = {Perspectives in Scalar Curvature. Vol. 2},
  chapter = {6},
  publisher = {World Scientific},
  year = {2023},
  pages = {215--230},
  doi = {10.1142/9789811273230_0006},
  url = {https://web.stanford.edu/~ochodosh/PSC-aspherical-survey.pdf},
  note = {Numbered locators refer to the \href{https://web.stanford.edu/~ochodosh/PSC-aspherical-survey.pdf}{authors' survey}. \href{https://doi.org/10.1142/9789811273230_0006}{DOI}}
}

@misc{GromovAsphericalFive2020,
  author = {Gromov, Misha},
  title = {No metrics with positive scalar curvatures on aspherical 5-manifolds},
  year = {2020},
  eprint = {2009.05332},
  archivePrefix = {arXiv},
  primaryClass = {math.DG},
  doi = {10.48550/arXiv.2009.05332},
  url = {https://arxiv.org/abs/2009.05332v1},
  note = {Version 1, 11 September 2020; \href{https://arxiv.org/abs/2009.05332v1}{arXiv:2009.05332v1}}
}

@article{BrunnbauerHanke2010,
  author = {Brunnbauer, Michael and Hanke, Bernhard},
  title = {Large and small group homology},
  journal = {Journal of Topology},
  volume = {3},
  number = {2},
  year = {2010},
  pages = {463--486},
  doi = {10.1112/jtopol/jtq014},
  eprint = {0902.0869},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/0902.0869v2},
  note = {Theorem numbers refer to arXiv:0902.0869v2}
}

@article{BraunSauer2021,
  author = {Braun, Sabine and Sauer, Roman},
  title = {Volume and macroscopic scalar curvature},
  journal = {Geometric and Functional Analysis},
  volume = {31},
  year = {2021},
  pages = {1321--1376},
  doi = {10.1007/s00039-021-00588-y},
  url = {https://doi.org/10.1007/s00039-021-00588-y},
  note = {\href{https://doi.org/10.1007/s00039-021-00588-y}{DOI}}
}

@article{Guth2011,
  author = {Guth, Larry},
  title = {Volumes of balls in large {Riemannian} manifolds},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {173},
  number = {1},
  year = {2011},
  pages = {51--76},
  doi = {10.4007/annals.2011.173.1.2},
  url = {https://annals.math.princeton.edu/2011/173-1/p02},
  note = {\href{https://doi.org/10.4007/annals.2011.173.1.2}{DOI}}
}

@article{Cairns1934,
  author = {Cairns, Stewart S.},
  title = {On the Triangulation of Regular Loci},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {35},
  number = {3},
  year = {1934},
  pages = {579--587},
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  note = {\href{https://doi.org/10.2307/1968752}{DOI}}
}

@article{Whitehead1940,
  author = {Whitehead, J. H. C.},
  title = {On {$C^1$}-complexes},
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  number = {4},
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  note = {\href{https://doi.org/10.2307/1968861}{DOI}}
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@book{Munkres1966,
  author = {Munkres, James R.},
  title = {Elementary Differential Topology},
  edition = {revised},
  series = {Annals of Mathematics Studies},
  volume = {54},
  publisher = {Princeton University Press},
  address = {Princeton, NJ},
  year = {1966}
}

@article{Sard1942,
  author = {Sard, Arthur},
  title = {The measure of the critical values of differentiable maps},
  journal = {Bulletin of the American Mathematical Society},
  volume = {48},
  number = {12},
  year = {1942},
  pages = {883--890},
  doi = {10.1090/S0002-9904-1942-07811-6},
  url = {https://webhomes.maths.ed.ac.uk/~v1ranick/papers/sard.pdf},
  note = {\href{https://doi.org/10.1090/S0002-9904-1942-07811-6}{DOI}}
}

@article{Milnor1968,
  author = {Milnor, John},
  title = {A note on curvature and fundamental group},
  journal = {Journal of Differential Geometry},
  volume = {2},
  year = {1968},
  pages = {1--7},
  doi = {10.4310/jdg/1214501132},
  note = {\href{https://doi.org/10.4310/jdg/1214501132}{DOI}}
}

@article{CheegerGromoll1971,
  author = {Cheeger, Jeff and Gromoll, Detlef},
  title = {The splitting theorem for manifolds of nonnegative {Ricci} curvature},
  journal = {Journal of Differential Geometry},
  volume = {6},
  number = {1},
  year = {1971},
  pages = {119--128},
  doi = {10.4310/jdg/1214430220},
  note = {\href{https://doi.org/10.4310/jdg/1214430220}{DOI}}
}

@incollection{GromovDozen2018,
  author = {Gromov, Misha},
  title = {A dozen problems, questions and conjectures about positive scalar curvature},
  booktitle = {Foundations of Mathematics and Physics One Century After Hilbert},
  editor = {Kouneiher, Joseph},
  publisher = {Springer},
  address = {Cham},
  year = {2018},
  pages = {135--158},
  doi = {10.1007/978-3-319-64813-2_6},
  note = {Section locators refer to the author's version of 19 September 2017. \href{https://doi.org/10.1007/978-3-319-64813-2_6}{DOI}; \href{https://www.ihes.fr/~gromov/wp-content/uploads/2018/08/dozen_problems_Sept_2017.pdf}{author's PDF}},
  url = {https://www.ihes.fr/~gromov/wp-content/uploads/2018/08/dozen_problems_Sept_2017.pdf}
}

@article{BishopONeill1969,
  author = {Bishop, R. L. and O'Neill, B.},
  title = {Manifolds of negative curvature},
  journal = {Transactions of the American Mathematical Society},
  volume = {145},
  year = {1969},
  pages = {1--49},
  doi = {10.1090/S0002-9947-1969-0251664-4},
  note = {\href{https://doi.org/10.1090/S0002-9947-1969-0251664-4}{DOI}}
}

@incollection{Wei2007,
  author = {Wei, Guofang},
  title = {Manifolds with a lower {Ricci} curvature bound},
  booktitle = {Surveys in Differential Geometry. Vol. XI},
  series = {Surveys in Differential Geometry},
  volume = {11},
  publisher = {International Press},
  address = {Somerville, MA},
  year = {2007},
  pages = {203--227},
  doi = {10.4310/SDG.2006.v11.n1.a7},
  url = {https://web.math.ucsb.edu/~wei/paper/06survey.pdf},
  note = {\href{https://doi.org/10.4310/SDG.2006.v11.n1.a7}{DOI}}
}

@article{Yau2000,
  author = {Yau, Shing-Tung},
  title = {Review of geometry and analysis},
  journal = {Asian Journal of Mathematics},
  volume = {4},
  number = {1},
  year = {2000},
  pages = {235--278},
  doi = {10.4310/AJM.2000.v4.n1.a16},
  url = {https://archive.intlpress.com/site/pub/files/_fulltext/journals/ajm/2000/0004/0001/AJM-2000-0004-0001-a016.pdf},
  note = {\href{https://doi.org/10.4310/AJM.2000.v4.n1.a16}{DOI}}
}

@article{SchoenYau1981,
  author = {Schoen, Richard and Yau, Shing-Tung},
  title = {Proof of the positive mass theorem. {II}},
  journal = {Communications in Mathematical Physics},
  volume = {79},
  pages = {231--260},
  year = {1981},
  note = {\href{https://archive.ymsc.tsinghua.edu.cn/pacm_download/59/11069-Shing-Tung_Yau_105.pdf}{Journal article}}
}