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1
S Akbulut , A fake compact
contractible 4 -manifold , J.
Differential Geom. 33 (1991) 335 MR1094459
2
S Akbulut , Isotoping
2 -spheres in 4 -manifolds , from: "Proceedings of the
Gökova Geometry–Topology Conference 2014" (editors S Akbulut, D
Auroux, T Önder), Gökova Geometry/Topology Conference (GGT),
Gökova (2015) 264 MR3381446
3
S Akbulut , R
Matveyev , A convex
decomposition theorem for 4 -manifolds , Internat. Math. Res.
Notices 7 (1998) 371 MR1623402
4
S Akbulut , K
Yasui , Corks,
plugs and exotic structures , J. Gökova Geom. Topol. GGT
2 (2008) 40 MR2466001
5
S Akbulut , K
Yasui , Knotting corks ,
J. Topol. 2 (2009) 823 MR2574745
6
S Akbulut , K
Yasui , Cork twisting
exotic Stein 4 -manifolds ,
J. Differential Geom. 93 (2013) 1 MR3019510
7
V I Arnold ,
Some
remarks on symplectic monodromy of Milnor fibrations ,
from: "The Floer memorial volume" (editors H Hofer, C H
Taubes, A Weinstein, E Zehnder), Progr. Math. 133, Birkhäuser,
Basel (1995) 99 MR1362824
8
D Auckly , Smoothly
knotted surfaces that remain distinct after many internal
stabilizations , (2023) arXiv:2307.16266
9
D Auckly , H J
Kim , P Melvin , D Ruberman , Stable isotopy in four
dimensions , J. Lond. Math. Soc. (2) 91 (2015) 439 MR3355110
10
D Auckly , H J
Kim , P Melvin , D Ruberman , H Schwartz ,
Isotopy
of surfaces in 4 -manifolds after a
single stabilization , Adv. Math. 341 (2019) 609
MR3873547
11
R H Bamler ,
Long-time
behavior of 3 -dimensional Ricci
flow, B : Evolution of the minimal area of simplicial complexes
under Ricci flow , Geom. Topol. 22 (2018) 845 MR3748681
12
D Baraglia , H
Konno , A gluing formula for
families Seiberg–Witten invariants , Geom. Topol. 24
(2020) 1381 MR4157556
13
S Behrens , B
Kalmár , M H Kim , M Powell , A Ray ,
editors, The disc
embedding theorem , Oxford Univ. Press (2021) MR4519498
14
F Bonahon , Difféotopies des
espaces lenticulaires , Topology 22 (1983) 305 MR710104
15
R Budney , D
Gabai , Knotted 3 -balls in
S 4 , (2019) arXiv:1912.09029
16
J Cerf , Groupes
d’automorphismes et groupes de difféomorphismes des variétés
compactes de dimension 3 ,
Bull. Soc. Math. France 87 (1959) 319 MR116351
17
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
18
T D Cochran , N
Habegger , On the homotopy
theory of simply connected four manifolds , Topology 29
(1990) 419 MR1071367
19
C L Curtis ,
M H Freedman , W C Hsiang , R
Stong , A
decomposition theorem for h -cobordant smooth simply-connected compact
4 -manifolds , Invent. Math.
123 (1996) 343 MR1374205
20
M H Freedman ,
F Quinn , Topology of
4 -manifolds , 39, Princeton
Univ. Press (1990) MR1201584
21
D Gabai , The 4 -dimensional light bulb theorem , J.
Amer. Math. Soc. 33 (2020) 609 MR4127900
22
D Gabai ,
3 -spheres in the 4 -sphere and pseudo-isotopies of S 1
× S 3 ,
(2022) arXiv:2212.02004
23
D Gabai , D Gay ,
D Hartman , V Krushkal , M Powell ,
Pseudo-isotopies of
simply connected 4 -manifolds , Forum Math. Pi 14 (2026)
MR5038934
24
D T Gay ,
Diffeomorphisms of
the 4 -sphere, Cerf theory and
Montesinos twins , Algebr. Geom. Topol. 25 (2025) 2817
MR4996240
25
J Giansiracusa ,
The stable
mapping class group of simply connected 4 -manifolds , J. Reine Angew. Math. 617
(2008) 215 MR2400996
26
R E Gompf ,
Infinite
order corks , Geom. Topol. 21 (2017) 2475 MR3654114
27
A E Hatcher ,
A proof of the
Smale conjecture, Diff ( S 3 )
≃ O (4) , Ann.
of Math. (2) 117 (1983) 553
MR701256
28
A Hatcher , J
Wagoner , Pseudo-isotopies
of compact manifolds , 6, Société Mathématique de
France, Paris (1973) MR353337
29
C Hog-Angeloni , W
Metzler , Geometric
aspects of two-dimensional complexes , from:
"Two-dimensional homotopy and combinatorial group theory"
(editors C Hog-Angeloni, W Metzler, A J Sieradski), London
Math. Soc. Lecture Note Ser. 197, Cambridge Univ. Press (1993)
1 MR1279175
30
S Hong , J
Kalliongis , D McCullough , J H
Rubinstein , Diffeomorphisms of
elliptic 3 -manifolds , 2055,
Springer (2012) MR2976322
31
N Iida , H
Konno , A Mukherjee , M Taniguchi , Diffeomorphisms of
4 -manifolds with boundary and
exotic embeddings , Math. Ann. 391 (2025) 1845 MR4853007
32
R Kirby , Akbulut’s
corks and h -cobordisms of smooth,
simply connected 4 -manifolds ,
Turkish J. Math. 20 (1996) 85 MR1392665
33
H Konno , J Lin ,
Homological instability for moduli spaces of smooth
4-manifolds , (2022) arXiv:2211.03043
34
H Konno , A
Mallick , M Taniguchi , Exotic Dehn twists on
4-manifolds , (2023) arXiv:2306.08607
35
H Konno , J Lin ,
A Mukherjee , J Muñoz-Echániz , On
four-dimensional Dehn twists and Milnor fibrations , (2024)
arXiv:2409.11961
36
M Krannich , A
Kupers , On
Torelli groups and Dehn twists of smooth 4 -manifolds , Bull. Lond. Math. Soc. 57
(2025) 956 MR4877539
37
M Kreck , Isotopy classes of
diffeomorphisms of ( k − 1) -connected almost-parallelizable 2 k -manifolds , from: "Algebraic
topology" (editors J L Dupont, I H Madsen), Lecture
Notes in Math. 763, Springer (1979) 643 MR561244
38
P Kronheimer , T
Mrowka , Monopoles and
three-manifolds , 10, Cambridge Univ. Press (2007)
MR2388043
39
T J Li ,
A K Liu , Family
Seiberg–Witten invariants and wall crossing formulas ,
Comm. Anal. Geom. 9 (2001) 777 MR1868921
40
J Lin , The family
Seiberg–Witten invariant and nonsymplectic loops of
diffeomorphisms , (2022) arXiv:2208.12082
41
J Lin , Isotopy of the Dehn
twist on K 3# K 3 after a single stabilization , Geom.
Topol. 27 (2023) 1987 MR4621924
42
J Lin , A
Mukherjee , Family Bauer–Furuta invariant, exotic
surfaces and Smale conjecture , (2021) arXiv:2110.09686
43
R Matveyev ,
A
decomposition of smooth simply-connected h -cobordant 4 -manifolds , J. Differential Geom. 44
(1996) 571 MR1431006
44
P Melvin , H
Schwartz , Higher order
corks , Invent. Math. 224 (2021) 291 MR4228504
45
P Orson , M
Powell , Mapping class groups
of simply connected 4 -manifolds
with boundary , J. Differential Geom. 131 (2025) 199
MR4947553
46
B Perron , Pseudo-isotopies
et isotopies en dimension quatre dans la catégorie
topologique , Topology 25 (1986) 381 MR862426
47
F Quinn , Isotopy of
4 -manifolds , J.
Differential Geom. 24 (1986) 343 MR868975
48
D Ruberman ,
An
obstruction to smooth isotopy in dimension 4 , Math. Res. Lett. 5 (1998) 743
MR1671187
49
D Ruberman ,
A
polynomial invariant of diffeomorphisms of 4 -manifolds , from: "Proceedings of the
Kirbyfest" (editors J Hass, M Scharlemann), Geom. Topol.
Monogr. 2, Geom. Topol. Publ., Coventry (1999) 473 MR1734421
50
O Saeki , Stable mapping
class groups of 4 -manifolds with
boundary , Trans. Amer. Math. Soc. 358 (2006) 2091
MR2197449
51
A Shivkumar , Exotic
ℝ 4 ’s with compactly supported
diffeomorphisms , (2025) arXiv:2508.02017
52
C T C Wall ,
Diffeomorphisms of
4 -manifolds , J. London
Math. Soc. 39 (1964) 131 MR163323