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1
S Akbulut , R
Kirby , Mazur
manifolds , Michigan Math. J. 26 (1979) 259 MR544597
2
N Anvari , I
Hambleton , Cyclic branched
coverings of Brieskorn spheres bounding acyclic 4 -manifolds , Glasg. Math. J. 63 (2021)
400 MR4244205
3
D Baraglia ,
Obstructions
to smooth group actions on 4 -manifolds from families Seiberg–Witten
theory , Adv. Math. 354 (2019) 106730 MR3981995
4
D Baraglia ,
Constraints
on families of smooth 4 -manifolds
from Bauer–Furuta invariants , Algebr. Geom. Topol. 21
(2021) 317 MR4224743
5
D Baraglia ,
An
adjunction inequality obstruction to isotopy of embedded
surfaces in 4 -manifolds ,
Math. Res. Lett. 31 (2024) 329 MR4819384
6
D Baraglia , H
Konno , A gluing formula for
families Seiberg–Witten invariants , Geom. Topol. 24
(2020) 1381 MR4157556
7
D Baraglia , H
Konno , A
note on the Nielsen realization problem for K 3
surfaces , Proc. Amer. Math. Soc. 151 (2023) 4079
MR4607650
8
J Bryan , Seiberg–Witten
theory and ℤ ∕ 2 p
actions on spin 4 -manifolds , Math. Res. Lett. 5 (1998)
165 MR1617929
9
R Budney , D
Gabai , Knotted 3 -balls in
S 4 , (2019) arXiv:1912.09029
10
J Cerf , Sur les difféomorphismes
de la sphère de dimension trois (Γ 4
= 0) , 53, Springer (1968)
MR229250
11
I Dai , M
Hedden , A Mallick , Corks, involutions, and
Heegaard Floer homology , J. Eur. Math. Soc. 25 (2023)
2319 MR4592871
12
S K Donaldson ,
Polynomial
invariants for smooth four-manifolds , Topology 29
(1990) 257 MR1066174
13
N D Elkies ,
A
characterization of the ℤ n
lattice , Math. Res. Lett. 2 (1995) 321 MR1338791
14
H C Fickle ,
Knots, ℤ -homology 3 -spheres and contractible 4 -manifolds , Houston J. Math. 10 (1984) 467
MR774711
15
R Friedman ,
J W Morgan , On the
diffeomorphism types of certain algebraic surfaces, I ,
J. Differential Geom. 27 (1988) 297 MR925124
16
D Gabai , The Smale
conjecture for hyperbolic 3 -manifolds : Isom ( M 3 )
≃ Diff ( M 3 ) , J.
Differential Geom. 58 (2001) 113 MR1895350
17
J Giansiracusa ,
The stable
mapping class group of simply connected 4 -manifolds , J. Reine Angew. Math. 617
(2008) 215 MR2400996
18
R E Gompf ,
A I Stipsicz , 4 -manifolds and Kirby calculus , 20,
Amer. Math. Soc. (1999) MR1707327
19
G Guth , For exotic
surfaces with boundary, one stabilization is not enough ,
(2022) arXiv:2207.11847
20
A E Hatcher ,
Linearization in 3 -dimensional
topology , from: "Proceedings of the International Congress
of Mathematicians" (editor O Lehto), Acad. Sci. Fennica,
Helsinki (1980) 463 MR562642
21
A E Hatcher ,
A proof of the
Smale conjecture, Diff ( S 3 )
≃ O (4) , Ann.
of Math. (2) 117 (1983) 553
MR701256
22
A Hatcher , A
50 -year view of diffeomorphism
groups , slides from a talk at the 50th Cornell Topology
Festival (2012)
23
K Hayden , An atomic
approach to Wall-type stabilization problems , (2023)
arXiv:2302.10127
24
K Hayden , S
Kang , A Mukherjee , One stabilization is not
enough for closed knotted surfaces , (2023) arXiv:2304.01504
25
K Igusa , Second
obstruction to pseudoisotopy in dimension 3 , (2021)
arXiv:2112.08293
26
N Iida , H
Konno , A Mukherjee , M Taniguchi ,
Diffeomorphisms of 4 -manifolds
with boundary and exotic embeddings , (2022) arXiv:2203.14878
27
T Kadokami , A
Yasuhara , Proper links,
algebraically split links and Arf invariant , J. Math.
Soc. Japan 52 (2000) 591 MR1760607
28
S Kang , One
stabilization is not enough for contractible 4 -manifolds , (2022) arXiv:2210.07510
29
S Kang , J Park ,
M Taniguchi , Exotic Dehn twists
and homotopy coherent group actions , Invent. Math. 243
(2026) 209 MR5008150
30
R Kirby , Problems
in low dimensional manifold theory , from: "Algebraic and
geometric topology" (editor R J Milgram), Proc. Sympos.
Pure Math. 32, Amer. Math. Soc. (1978) 273 MR520548
31
H Konno , J Lin ,
Homological instability for moduli spaces of smooth
4 -manifolds , (2022) arXiv:2211.03043
32
H Konno , M
Taniguchi , The groups of
diffeomorphisms and homeomorphisms of 4 -manifolds with boundary , Adv. Math.
409 (2022) 108627 MR4469073
33
H Konno , A
Mukherjee , M Taniguchi , Exotic codimension-1
submanifolds in 4 -manifolds and
stabilizations , (2022) arXiv:2210.05029
34
H Konno , J Lin ,
A Mukherjee , J Muñoz-Echániz , The monodromy
diffeomorphism of weighted singularities and Seiberg–Witten
theory , (2024) arXiv:2411.12202
35
H Konno , J Lin ,
A Mukherjee , J Muñoz-Echániz , On
four-dimensional Dehn twists and Milnor fibrations , (2024)
arXiv:2409.11961
36
H Konno , A
Mallick , M Taniguchi , From
diffeomorphisms to exotic phenomena in small 4 -manifolds , Selecta Math. ( N.S.) 32 (2026) 27
MR5042445
37
M Krannich , A
Kupers , On
Torelli groups and Dehn twists of smooth 4 -manifolds , Bull. Lond. Math. Soc. 57
(2025) 956 MR4877539
38
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
39
P Kronheimer ,
Dehn twists in
dimension four , lecture recording (2020)
40
P B Kronheimer ,
T S Mrowka , The Dehn twist on
a sum of two K 3 surfaces , Math. Res. Lett. 27 (2020)
1767 MR4216604
41
S Lee , T de
Paiva , Torus knots
obtained by negatively twisting torus knots , J. Knot
Theory Ramifications 31 (2022) 2150080 MR4411809
42
J Lin , Isotopy of the Dehn
twist on K 3
# K 3 after a single stabilization , Geom.
Topol. 27 (2023) 1987 MR4621924
43
J Lin , A
Mukherjee , Family Bauer–Furuta invariant, exotic
surfaces and Smale conjecture , (2021) arXiv:2110.09686
44
J Lin , D
Ruberman , N Saveliev , On the Frøyshov
invariant and monopole Lefschetz number , J.
Differential Geom. 123 (2023) 523 MR4584860
45
C Manolescu ,
Pin (2) -equivariant
Seiberg–Witten Floer homology and the triangulation
conjecture , J. Amer. Math. Soc. 29 (2016) 147 MR3402697
46
J Milnor , On manifolds homeomorphic to
the 7 -sphere , Ann. of Math.
(2) 64 (1956) 399 MR82103
47
J Miyazawa ,
Boundary Dehn twists on Milnor fibers and family
Bauer–Furuta invariants , (2024) arXiv:2410.21742
48
Y Ni , Z Wu ,
Cosmetic
surgeries on knots in S 3 , J. Reine Angew. Math. 706
(2015) 1 MR3393360
49
P Orlik , P
Wagreich , Isolated singularities of
algebraic surfaces with C∗ action , Ann. of Math.
(2) 93 (1971) 205 MR284435
50
P Orson , M
Powell , Mapping class groups of simply connected
4 -manifolds with boundary ,
(2022) arXiv:2207.05986
51
B Perron , Pseudo-isotopies
et isotopies en dimension quatre dans la catégorie
topologique , Topology 25 (1986) 381 MR862426
52
H Qiu , The Dehn
twist on a connected sum of two homology tori , (2024)
arXiv:2410.02461
53
F Quinn , Isotopy of
4 -manifolds , Journal of
Differential Geometry 24 (1986) 343
54
J A Rasmussen ,
Floer homology and knot complements , PhD thesis, Harvard
University (2003) arXiv:math/0306378
MR2704683
55
D Ruberman ,
An
obstruction to smooth isotopy in dimension 4 , Math. Res. Lett. 5 (1998) 743
MR1671187
56
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., Coventry (1999) 473 MR1734421
57
D Ruberman , S
Strle , Wall’s stable
realization for diffeomorphisms of definite 4 -manifolds , Indiana Univ. Math. J. 74
(2025) 225 MR4883590
58
O Saeki , Stable mapping
class groups of 4 -manifolds with
boundary , Trans. Amer. Math. Soc. 358 (2006) 2091
MR2197449
59
N Saveliev ,
Floer
homology of Brieskorn homology spheres , J. Differential
Geom. 53 (1999) 15 MR1776091
60
O Singh , Pseudo-isotopies and
diffeomorphisms of 4 -manifolds , J. Topol. 18 (2025)
MR5006904
61
S Smale , Diffeomorphisms of the
2 -sphere , Proc. Amer. Math.
Soc. 10 (1959) 621 MR112149
62
M Stoffregen ,
Pin (2) -equivariant
Seiberg–Witten Floer homology of Seifert fibrations ,
Compos. Math. 156 (2020) 199 MR4044465
63
E Tweedy , Heegaard Floer
homology and several families of Brieskorn spheres ,
Topology Appl. 160 (2013) 620 MR3018077
64
C T C Wall ,
Diffeomorphisms of
4 -manifolds , J. London
Math. Soc. 39 (1964) 131 MR163323
65
T Watanabe , Some
exotic nontrivial elements of the rational homotopy groups of
Diff ( S 4 ) ,
(2018) arXiv:1812.02448
66
T Watanabe ,
Theta-graph and diffeomorphisms of some 4 -manifolds , (2020) arXiv:2005.09545