aom.bib

@book{book:abrahammarsdenratiu,
  title     = {Manifolds, tensor analysis, and applications},
  author    = {Abraham, Ralph and Marsden, Jerold E. and Ratiu, Tudor S.},
  year      = {2004},
  publisher = {Springer, New York},
  series    = {Applied mathematical sciences},
  volume    = {75},
  edition   = {2nd},
  doi       = {10.1007/978-1-4612-1029-0}
}

@book{book:arnold,
  title     = {Mathematical methods of classical mechanics},
  author    = {Arnold, Vladimir I.},
  volume    = {60},
  series    = {Graduate Texts in Mathematics},
  year      = {1989},
  edition   = {2nd edition},
  publisher = {Springer-Verlag, New York},
  doi       = {10.1007/978-1-4757-2063-1}
}

@book{book:axler,
  doi       = {10.1007/978-3-319-11080-6},
  url       = {https://link.springer.com/book/10.1007/978-3-319-11080-6},
  year      = 2014,
  month     = {nov},
  publisher = {Springer},
  author    = {Sheldon Axler},
  title     = {Linear Algebra Done Right}
}

@book{book:bonfigliolifulci,
  doi       = {10.1007/978-3-642-22597-0},
  year      = 2012,
  publisher = {Springer Berlin Heidelberg},
  author    = {Andrea Bonfiglioli and Roberta Fulci},
  title     = {Topics in Noncommutative Algebra},
  url       = {https://link.springer.com/book/10.1007%2F978-3-642-22597-0}
}

@article{book:cds,
   title={Lectures on Symplectic Geometry},
   ISBN={9783540453307},
   ISSN={1617-9692},
   url={https://web.archive.org/web/20211123095534/https://people.math.ethz.ch/~acannas/Papers/lsg.pdf},
   DOI={10.1007/978-3-540-45330-7},
   journal={Lecture Notes in Mathematics},
   publisher={Springer Berlin Heidelberg},
   author={da Silva, Ana Cannas},
   year={2008}
}

@inproceedings{book:crane,
  author    = {Keenan Crane and Fernando de Goes and Mathieu Desbrun and Peter Schr\"oder},
  title     = {Digital Geometry Processing with Discrete Exterior Calculus},
  booktitle = {ACM SIGGRAPH 2013 courses},
  series    = {SIGGRAPH '13},
  year      = {2013},
  location  = {Anaheim, California},
  publisher = {ACM, New York, NY, USA},
  url       = {https://web.archive.org/web/20210507020257/https://www.cs.cmu.edu/~kmcrane/Projects/DGPDEC/paper.pdf},
}

@book{book:guillemin-haine,
  doi       = {10.1142/11058},
  url       = {http://web.archive.org/web/20200525224100/https://math.mit.edu/classes/18.952/2018SP/files/18.952_book.pdf},
  year      = 2019,
  publisher = {{World} {Scientific}},
  author    = {Victor Guillemin and Peter Haine},
  title     = {Differential Forms}
}

@book{book:knauf,
  title     = {Mathematical physics: classical mechanics},
  author    = {Knauf, Andreas},
  series    = {UNITEXT},
  volume    = {109},
  year      = {2018},
  publisher = {Springer, New York},
  doi       = {10.1007/978-3-662-55774-7},
  url       = {https://link.springer.com/book/10.1007%2F978-3-662-55774-7}
}

@book{book:lang,
  doi       = {10.1007/b97450},
  url       = {https://doi.org/10.1007%2Fb97450},
  year      = 2002,
  author    = {Lang, Serge},
  publisher = {Springer-Verlag},
  title     = {Introduction to Differential Manifolds}
}

@book{book:lang:infinite,
  doi       = {10.1007/978-1-4612-0541-8},
  url       = {https://doi.org/10.1007%2F978-1-4612-0541-8},
  year      = 1999,
  publisher = {Springer New York},
  author    = {Serge Lang},
  title     = {Fundamentals of Differential Geometry}
}

@book{book:lee,
  title     = {Introduction to Smooth Manifolds},
  author    = {Lee, John M.},
  series    = {Graduate Texts in Mathematics},
  volume    = {218},
  year      = {2013},
  publisher = {Springer, New York},
  doi       = {10.1007/978-1-4419-9982-5},
  url       = {https://link.springer.com/book/10.1007/978-1-4419-9982-5}
}

@book{book:lee:riemannian,
    doi       = {10.1007/978-3-319-91755-9},
    url       = {https://link.springer.com/book/10.1007/978-3-319-91755-9},
    year      = 2018,
    publisher = {Springer, New York},
    author    = {John M. Lee},
    volume    = {176}, 
    series    = {Graduate Texts in Mathematics},
    title     = {Introduction to Riemannian Manifolds}
}

@book{book:lee:topology,
  doi       = {10.1007/978-1-4419-7940-7},
  year      = 2011,
  publisher = {Springer, New York},
  author    = {John M. Lee},
  volume    = {202}, 
  series    = {Graduate Texts in Mathematics},
  title     = {Introduction to Topological Manifolds},
  url       = {https://link.springer.com/book/10.1007/978-1-4419-7940-7}
}

@book{book:lieber,
  year      = 1945,
  publisher = {Holt, Rinehart and Winston},
  author    = {Lillian R. Lieber},
  title     = {The Einstein Theory of Relativity},
  url       = {https://archive.org/details/einsteintheoryof032414mbp}
}

@book{book:McInerney,
  doi       = {10.1007/978-1-4614-7732-7},
  url       = {https://link.springer.com/book/10.1007/978-1-4614-7732-7},
  year      = 2013,
  publisher = {Springer New York},
  author    = {Andrew McInerney},
  title     = {First Steps in Differential Geometry}
}

@book{book:munkres,
  title     = {Analysis On Manifolds},
  author    = {Munkres, J.R.},
  isbn      = {9780813345482},
  series    = {Advanced Books Classics},
  year      = {1997},
  publisher = {Avalon Publishing}
}

@book{book:munkres:topology,
  title     = {Topology},
  author    = {Munkres, J.R.},
  isbn      = {9780131816299},
  year      = {2000},
  publisher = {Prentice Hall, Incorporated}
}

@book{book:nicolaescu,
  title     = {Lectures on the Geometry of Manifolds},
  url       = {https://web.archive.org/web/20210507000841/https://www3.nd.edu/~lnicolae/Lectures.pdf},
  doi       = {10.1142/11680},
  publisher = {{W}orld {S}cientific},
  author    = {Nicolaescu, Liviu I},
  year      = {2020},
}

@book{book:thirring,
  title     = {Classical Mathematical Physics: Dynamical Systems and Field Theories},
  author    = {Thirring, W.},
  isbn      = {9780387406152},
  year      = {2003},
  edition   = {3rd},
  publisher = {Springer New York}
}

@book{book:tu,
  title     = {An Introduction to Manifolds},
  author    = {Tu, Loring W.},
  year      = {2011},
  publisher = {Springer, New York},
  edition   = {2nd},
  doi       = {10.1007/978-1-4419-7400-6},
  url       = {https://link.springer.com/book/10.1007%2F978-1-4419-7400-6}
}

@misc{lectures:hitchin,
  author = {Hitchin, Nigel},
  title  = {Differentiable manifolds},
  year   = {2014},
  note   = {Unpublished lecture notes},
  url    = {http://web.archive.org/web/20201111215108/https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf}
}

@misc{lectures:merry,
  author = {Merry, Will},
  title  = {Lecture notes on Differential Geometry},
  year   = 2019,
  note   = {Unpublished lecture notes},
  url    = {https://web.archive.org/web/20231106145652/https://www2.math.ethz.ch/will-merry/files/Merry%20-%20Differential%20Geometry%20%282019%29.pdf}
}

@misc{lectures:seri:hm,
  author = {Seri, Marcello},
  title  = {Hamiltonian Mechanics},
  year   = {2023},
  note   = {Unpublished lecture notes, version 1.11},
  url    = {https://github.com/mseri/hammech20/releases/tag/1.11}
}

@misc{lectures:teufel,
  author = {Teufel, Stefan},
  title  = {Mathematische Physik: Klassische Mechanik},
  year   = {2013},
  note   = {Unpublished lecture notes},
  url    = {http://web.archive.org/web/20201111215028/https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf}
}

@misc{nlab:urysohn_metrization_theorem,
  author       = {{nLab authors}},
  title        = {{{U}}rysohn metrization theorem},
  url          = {http://ncatlab.org/nlab/show/Urysohn%20metrization%20theorem/10},
  month        = nov,
  year         = 2020
}

@MISC {SE2691140,
  TITLE        = {Give me an example of a topological manifold which is not a smooth manifold.},
  AUTHOR       = {C. Falcon},
  HOWPUBLISHED = {Mathematics Stack Exchange},
  NOTE         = {(version: 2018-03-14)},
  URL          = {https://web.archive.org/web/20211117121257/https://math.stackexchange.com/questions/2691131/give-me-an-example-of-a-topological-manifold-which-is-not-a-smooth-manifold}
}

@misc {notes:calegari,
  title  = {The 4 dimensional {P}oincar\'e conjecture},
  author = {Danny Calegari},
  url    = {http://web.archive.org/web/20210909230835/https://math.uchicago.edu/~dannyc/courses/poincare_2018/4d_poincare_conjecture_notes.pdf},
  year   = 2018
}

@misc {article:quanta:topology,
  title = {In Topology, When Are Two Shapes the Same?},
  author = {Kevin Hartnett},
  url = {https://web.archive.org/web/20211102093237/https://www.quantamagazine.org/in-topology-when-are-two-shapes-the-same-20210928/},
  year = 2021
}

@misc {article:quanta:homology,
  title = {How Mathematicians Use Homology to Make Sense of Topology},
  author = {Kelsey Houston-Edwards},
  url = {https://web.archive.org/web/20211115024743/https://www.quantamagazine.org/how-mathematicians-use-homology-to-make-sense-of-topology-20210511/},
  year = 2021
}


@misc {article:quanta:floer,
  title = {Mathematicians Transcend Geometric Theory of Motion},
  author = {Kelsey Houston-Edwards},
  url = {https://web.archive.org/web/20211210023041/https://www.quantamagazine.org/mathematicians-transcend-geometric-theory-of-motion-20211209/},
  year = 2021
}

@article{Voisin2002,
  title={Hodge Theory and Complex Algebraic Geometry I},
  ISBN={9780511615344},
  url={http://dx.doi.org/10.1017/CBO9780511615344},
  DOI={10.1017/cbo9780511615344},
  publisher={Cambridge University Press},
  author={Voisin, Claire},
  editor={Schneps, LeilaTranslator},
  year={2002}
}

@article{Serre1956,
  title={Géométrie algébrique et géométrie analytique},
  volume={6},
  ISSN={0373-0956},
  url={http://dx.doi.org/10.5802/aif.59},
  DOI={10.5802/aif.59},
  journal={Annales de l’institut Fourier},
  publisher={Cellule MathDoc/CEDRAM},
  author={Serre, Jean-Pierre},
  year={1956},
  pages={1–42}
}


@misc{Kontsevich1994Homological,
  title={Homological Algebra of Mirror Symmetry},
  author={Maxim Kontsevich},
  year={1994},
  eprint={alg-geom/9411018},
  archivePrefix={arXiv},
  primaryClass={alg-geom}
}

@article{Crainic2003,
   title={Integrability of Lie brackets},
   volume={157},
   ISSN={0003-486X},
   url={http://dx.doi.org/10.4007/annals.2003.157.575},
   DOI={10.4007/annals.2003.157.575},
   number={2},
   journal={Annals of Mathematics},
   publisher={Annals of Mathematics},
   author={Crainic, Marius and Fernandes, Rui},
   year={2003},
   pages={575–620}
}

@article{Courant_1990,
	doi = {10.1090/s0002-9947-1990-0998124-1},
	url = {https://doi.org/10.1090%2Fs0002-9947-1990-0998124-1},
	year = 1990,
	publisher = {American Mathematical Society ({AMS})},
	volume = {319},
	number = {2},
	pages = {631--661},
	author = {Theodore James Courant},
	title = {Dirac manifolds},
	journal = {Transactions of the American Mathematical Society}
}

@book{book:derivations,
	doi = {10.1007/978-3-662-02950-3},
	url = {https://web.archive.org/web/20210507025628/https://www.emis.de/monographs/KSM/index.html},
	year = 1993,
	publisher = {Springer Berlin Heidelberg},
	author = {Ivan Kol{\'{a}}{\v{r}} and Jan Slov{\'{a}}k and Peter W. Michor},
	title = {Natural Operations in Differential Geometry}
}


@misc{lectures:nanda,
  author = {Nanda, Vidit},
  title  = {Computational Algebraic Topology},
  year   = {2021},
  note   = {Unpublished lecture notes},
  url    = {https://web.archive.org/web/20210906183647/http://people.maths.ox.ac.uk/nanda/cat/TDANotes.pdf}
}

@book{Crainic_2021,
  title={Lectures on Poisson Geometry},
  ISBN={9781470466671},
  ISSN={1065-7339},
  url={http://dx.doi.org/10.1090/gsm/217},
  DOI={10.1090/gsm/217},
  journal={Graduate Studies in Mathematics},
  publisher={American Mathematical Society},
  author={Crainic, Marius and Fernandes, Rui and Mărcuţ, Ioan},
  year={2021}
}