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Diffeomorphisms of the $4$-sphere, Cerf theory and Montesinos twins

David T Gay

Algebraic & Geometric Topology 25 (2025) 2817–2849
Bibliography
1 D Asimov, Round handles and non-singular Morse–Smale flows, Ann. of Math. 102 (1975) 41 MR380883
2 R Bott, The stable homotopy of the classical groups, Ann. of Math. 70 (1959) 313 MR110104
3 R Budney, D Gabai, Knotted 3-balls in S4, preprint (2019) arXiv:1912.09029
4 J Cerf, La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie, Inst. Hautes Études Sci. Publ. Math. 39 (1970) 5 MR292089
5 A Chenciner, Sur la geéométrie des strates de petites codimensions de l’espace des fonctions différentiables rélles sur une variété, PhD thesis, University of Paris XI (1971)
6 D Gabai, The 4-dimensional light bulb theorem, J. Amer. Math. Soc. 33 (2020) 609 MR4127900
7 R E Gompf, A I Stipsicz, 4-manifolds and Kirby calculus, 20, Amer. Math. Soc. (1999) MR1707327
8 D Hartman, Unknotting 3-balls in the 5-ball, Proc. Amer. Math. Soc. 152 (2024) 1333 MR4693687
9 A Hatcher, J Wagoner, Pseudo-isotopies of compact manifolds, 6, Soc. Math. France (1973) MR353337
10 M A Kervaire, J W Milnor, Groups of homotopy spheres, I, Ann. of Math. 77 (1963) 504 MR148075
11 M Krannich, A Kupers, On Torelli groups and Dehn twists of smooth 4-manifolds, preprint (2021) arXiv:2105.08904
12 M Kreck, Isotopy classes of diffeomorphisms of (k 1)-connected almost-parallelizable 2k-manifolds, from: "Algebraic topology", Lecture Notes in Math. 763, Springer (1979) 643 MR561244
13 J P Levine, Lectures on groups of homotopy spheres, from: "Algebraic and geometric topology", Lecture Notes in Math. 1126, Springer (1985) 62 MR802786
14 J M Montesinos, On twins in the four-sphere, I, Q. J. Math. 34 (1983) 171 MR698205
15 R S Palais, Local triviality of the restriction map for embeddings, Comment. Math. Helv. 34 (1960) 305 MR123338
16 F Quinn, Isotopy of 4-manifolds, J. Differential Geom. 24 (1986) 343 MR868975
17 T Watanabe, Some exotic nontrivial elements of the rational homotopy groups of Diff(S4), preprint (2018) arXiv:1812.02448