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Classification of genus-two surfaces in $S^3$

Filippo Baroni

Algebraic & Geometric Topology 25 (2025) 4719–4785
Bibliography
1 J W Alexander, On the subdivision of 3-space by a polyhedron, Proc. Natl. Acad. Sci. USA 10 (1924) 6
2 M Aschenbrenner, S Friedl, H Wilton, Decision problems for 3-manifolds and their fundamental groups, from: "Interactions between low-dimensional topology and mapping class groups" (editors R I Baykur, J Etnyre, U Hamenstädt), Geom. Topol. Monogr. 19, Geom. Topol. Publ. (2015) 201 MR3609909
3 D R J Chillingworth, A finite set of generators for the homeotopy group of a non-orientable surface, Proc. Cambridge Philos. Soc. 65 (1969) 409 MR235583
4 D B A Epstein, Curves on 2-manifolds and isotopies, Acta Math. 115 (1966) 83 MR214087
5 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
6 J von zur Gathen, M Sieveking, A bound on solutions of linear integer equalities and inequalities, Proc. Amer. Math. Soc. 72 (1978) 155 MR500555
7 C M Gordon, J Luecke, Knots are determined by their complements, J. Amer. Math. Soc. 2 (1989) 371 MR965210
8 W H Holzmann, An equivariant torus theorem for involutions, Trans. Amer. Math. Soc. 326 (1991) 887 MR1034664
9 W Jaco, Lectures on three-manifold topology, 43, Amer. Math. Soc. (1980) MR565450
10 W Jaco, P B Shalen, Seifert fibered spaces in 3-manifolds, from: "Geometric topology" (editor J C Cantrell), Academic Press (1979) 91 MR537728
11 W Jaco, J L Tollefson, Algorithms for the complete decomposition of a closed 3-manifold, Illinois J. Math. 39 (1995)
12 K Johannson, Homotopy equivalences of 3-manifolds with boundaries, 761, Springer (1979) MR551744
13 R Kirby, Problems in low-dimensional topology, from: "Geometric topology" (editor W H Kazez), AMS/IP Stud. Adv. Math. 2.2, Amer. Math. Soc. (1997) 35 MR1470751
14 R Kobayashi, G Omori, An infinite presentation for the mapping class group of a non-orientable surface with boundary, Osaka J. Math. 59 (2022) 269 MR4405980
15 T Kobayashi, Equivariant annulus theorem for 3-manifolds, Proc. Japan Acad. Ser. A Math. Sci. 59 (1983) 403 MR726536
16 G Kuperberg, Algorithmic homeomorphism of 3-manifolds as a corollary of geometrization, Pacific J. Math. 301 (2019) 189 MR4007377
17 J H Lee, S Lee, Inequivalent handlebody-knots with homeomorphic complements, Algebr. Geom. Topol. 12 (2012) 1059 MR2928904
18 W B R Lickorish, Homeomorphisms of non-orientable two-manifolds, Proc. Cambridge Philos. Soc. 59 (1963) 307 MR145498
19 B Martelli, An introduction to geometric topology (2016)
20 S Matveev, Algorithmic topology and classification of 3-manifolds, 9, Springer (2007) MR2341532
21 J W Morgan, F T H Fong, Ricci flow and geometrization of 3-manifolds, 53, Amer. Math. Soc. (2010) MR2597148
22 C P Rourke, B J Sanderson, Introduction to piecewise-linear topology, Springer (1982) MR665919
23 P Scott, H Short, The homeomorphism problem for closed 3-manifolds, Algebr. Geom. Topol. 14 (2014) 2431 MR3331689
24 W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982) 357 MR648524
25 J L Tollefson, Involutions of sufficiently large 3-manifolds, Topology 20 (1981) 323 MR617370
26 F Waldhausen, Heegaard–Zerlegungen der 3-Sphäre, Topology 7 (1968) 195 MR227992
27 F Waldhausen, On irreducible 3-manifolds which are sufficiently large, Ann. of Math. 87 (1968) 56 MR224099