@article{Cerf1961,
  author  = {Cerf, Jean},
  title   = {Topologie de certains espaces de plongements},
  journal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de France},
  volume  = {89},
  year    = {1961},
  pages   = {227--380},
  doi     = {10.24033/bsmf.1567},
  url     = {https://www.numdam.org/articles/10.24033/bsmf.1567/}
}

@article{GhigginiLisca2014,
  author        = {Ghiggini, Paolo and Lisca, Paolo},
  title         = {Open book decompositions versus prime factorizations of
                   closed, oriented 3-manifolds},
  journal       = {Geometry \& Topology Monographs},
  volume        = {19},
  pages         = {145--155},
  year          = {2015},
  doi           = {10.2140/gtm.2015.19.145},
  eprint        = {1407.2148},
  archivePrefix = {arXiv},
  primaryClass  = {math.GT},
  url           = {https://arxiv.org/abs/1407.2148}
}

@article{GilmerMasbaum2013,
  author  = {Gilmer, Patrick M. and Masbaum, Gregor},
  title   = {Maslov index, Lagrangians, Mapping Class Groups and {TQFT}},
  journal = {Forum Mathematicum},
  volume  = {25},
  number  = {5},
  year    = {2013},
  pages   = {1067--1106},
  doi     = {10.1515/FORM.2011.143},
  eprint  = {0912.4706},
  url     = {https://arxiv.org/abs/0912.4706v3},
  note    = {Equation and section locators refer to \href{https://arxiv.org/abs/0912.4706v3}{arXiv:0912.4706v3}}
}

@article{Gramain1973,
  author  = {Gramain, Andr\'{e}},
  title   = {Le type d'homotopie du groupe des diff\'{e}omorphismes d'une
             surface compacte},
  journal = {Annales scientifiques de l'\'{E}cole Normale Sup\'{e}rieure},
  series  = {4},
  volume  = {6},
  number  = {1},
  year    = {1973},
  pages   = {53--66},
  doi     = {10.24033/asens.1242},
  url     = {https://www.numdam.org/articles/10.24033/asens.1242/}
}

@article{Hatcher1983,
  author  = {Hatcher, Allen E.},
  title   = {A proof of the {Smale} conjecture, $\operatorname{Diff}(S^3)
             \simeq O(4)$},
  journal = {Annals of Mathematics},
  volume  = {117},
  number  = {3},
  year    = {1983},
  pages   = {553--607},
  doi     = {10.2307/2007035},
  url     = {https://annals.math.princeton.edu/1983/117-3/p02}
}

@article{Pardon2020,
  author        = {Pardon, John},
  title         = {Smoothing finite group actions on three-manifolds},
  journal       = {Duke Mathematical Journal},
  volume        = {170},
  number        = {6},
  year          = {2021},
  pages         = {1043--1084},
  doi           = {10.1215/00127094-2020-0052},
  eprint        = {1901.11127},
  archivePrefix = {arXiv},
  primaryClass  = {math.GT},
  url           = {https://arxiv.org/abs/1901.11127v2},
  note          = {Theorem locators refer to \href{https://arxiv.org/abs/1901.11127v2}{arXiv:1901.11127v2}}
}

@unpublished{Walker1991,
  author = {Walker, Kevin},
  title  = {On {Witten}'s 3-manifold invariants},
  note   = {Preliminary version},
  year   = {1991}
}

@article{HatcherThurston1980,
  author = {Hatcher, Allen and Thurston, William},
  title = {A Presentation for the Mapping Class Group of a Closed Orientable Surface},
  journal = {Topology},
  volume = {19},
  number = {3},
  pages = {221--237},
  year = {1980},
  doi = {10.1016/0040-9383(80)90009-9}
}

@article{JuhaszThurstonZemke2021,
  author = {Juh\'{a}sz, Andr\'{a}s and Thurston, Dylan P. and Zemke, Ian},
  title = {Naturality and Mapping Class Groups in Heegaard Floer Homology},
  journal = {Memoirs of the American Mathematical Society},
  volume = {273},
  number = {1338},
  year = {2021},
  doi = {10.1090/memo/1338},
  eprint = {1210.4996},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1210.4996v4},
  note = {Definition and figure locators refer to \href{https://arxiv.org/abs/1210.4996v4}{arXiv:1210.4996v4}}
}

@misc{Qin2025,
  author = {Qianhe Qin},
  title = {Loops of handleslides for sutured diagrams},
  year = {2025},
  eprint = {2508.04042},
  archivePrefix = {arXiv},
  primaryClass = {math.GT},
  note = {Version 1, 6 August 2025},
  url = {https://arxiv.org/abs/2508.04042v1}
}