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1
T Akita , Y Liu ,
Second mod
2 homology of Artin groups ,
Algebr. Geom. Topol. 18 (2018) 547 MR3748252
2
U Bader , A
Lubotzky , R Sauer , S Weinberger , Stability and
instability of lattices in semisimple groups , J. Anal.
Math. 151 (2023) 1 MR4682943
3
U Bader , R
Sauer , Higher Kazhdan property and unitary cohomology of
arithmetic groups , preprint (2023) arXiv:2308.06517
4
A Banyaga , Sur la structure du groupe
des difféomorphismes qui préservent une forme
symplectique , Comment. Math. Helv. 53 (1978) 174
MR490874
5
A Banyaga , The structure of
classical diffeomorphism groups , 400, Kluwer (1997)
MR1445290
6
C Bavard ,
Longueur stable des commutateurs , Enseign. Math. 37
(1991) 109 MR1115747
7
B Bekka , P de la
Harpe , Unitary representations of groups, duals, and
characters , 250, Amer. Math. Soc. (2020) MR4249450
8
B Bekka , P de la
Harpe , A Valette , Kazhdan’s property
(T) , 11, Cambridge Univ. Press (2008) MR2415834
9
M Bestvina , K
Bromberg , K Fujiwara , Bounded cohomology with
coefficients in uniformly convex Banach spaces ,
Comment. Math. Helv. 91 (2016) 203 MR3493369
10
M Bestvina , K
Bromberg , K Fujiwara , Stable commutator length on
mapping class groups , Ann. Inst. Fourier (Grenoble) 66
(2016) 871 MR3494163
11
M Bestvina , M
Feighn , A combination
theorem for negatively curved groups , J. Differential
Geom. 35 (1992) 85 MR1152226
12
M Bestvina , K
Fujiwara , Bounded cohomology of
subgroups of mapping class groups , Geom. Topol. 6
(2002) 69 MR1914565
13
R Bieri , Mayer–Vietoris sequences
for HNN-groups and homological duality , Math. Z. 143
(1975) 123 MR382404
14
A Borel , Stable real cohomology of
arithmetic groups , Ann. Sci. École Norm. Sup. 7 (1974)
235 MR387496
15
A Borel , Stable and
L 2 -cohomology of arithmetic groups ,
Bull. Amer. Math. Soc. 3 (1980) 1025 MR585182
16
A Borel , Stable real
cohomology of arithmetic groups, II , from: "Manifolds
and Lie groups", Progr. Math. 14, Birkhäuser (1981) 21 MR642850
17
J Bowden , S W
Hensel , R Webb , Quasi-morphisms on surface
diffeomorphism groups , J. Amer. Math. Soc. 35 (2022)
211 MR4322392
18
M Brandenbursky , J
Kędra , Fragmentation norm and
relative quasimorphisms , Proc. Amer. Math. Soc. 150
(2022) 4519 MR4470192
19
K S Brown ,
Cohomology of
groups , 87, Springer (1982) MR672956
20
M Bucher , N
Monod , The
bounded cohomology of SL 2 over
local fields and S -integers , Int. Math. Res. Not. 2019
(2019) 1601 MR3932589
21
D Burago , S
Ivanov , L Polterovich , Conjugation-invariant
norms on groups of geometric origin , from: "Groups of
diffeomorphisms", Adv. Stud. Pure Math. 52, Math. Soc. Japan
(2008) 221 MR2509711
22
M Burger , N
Monod , Bounded cohomology of
lattices in higher rank Lie groups , J. Eur. Math. Soc.
1 (1999) 199 MR1694584
23
M Burger , N
Monod , Continuous bounded
cohomology and applications to rigidity theory , Geom.
Funct. Anal. 12 (2002) 219 MR1911660
24
M Burger , S
Mozes , Finitely
presented simple groups and products of trees , C. R.
Acad. Sci. Paris Sér. I Math. 324 (1997) 747 MR1446574
25
D Calegari ,
Circular
groups, planar groups, and the Euler class , from:
"Proceedings of the Casson Fest", Geom. Topol. Monogr. 7, Geom.
Topol. Publ. (2004) 431 MR2172491
26
D Calegari ,
scl , 20,
Math. Soc. Japan (2009) MR2527432
27
D Calegari , N
Monden , M Sato , On stable commutator
length in hyperelliptic mapping class groups , Pacific
J. Math. 272 (2014) 323 MR3284890
28
P Capovilla , C
Löh , M Moraschini , Amenable category
and complexity , Algebr. Geom. Topol. 22 (2022) 1417
MR4474790
29
T D Cochran , S
Harvey , P D Horn , Higher-order signature
cocycles for subgroups of mapping class groups and homology
cylinders , Int. Math. Res. Not. 2012 (2012) 3311
MR2946227
30
M De Chiffre , L
Glebsky , A Lubotzky , A Thom , Stability, cohomology
vanishing, and nonapproximable groups , Forum Math.
Sigma 8 (2020) MR4080477
31
K Dekimpe , M
Hartl , S Wauters , A seven-term
exact sequence for the cohomology of a group extension ,
J. Algebra 369 (2012) 70 MR2959787
32
H Endo , D
Kotschick , Bounded cohomology and
non-uniform perfection of mapping class groups , Invent.
Math. 144 (2001) 169 MR1821147
33
M Entov , L
Polterovich , Quasi-states and symplectic
intersections , Comment. Math. Helv. 81 (2006) 75
MR2208798
34
D B A
Epstein , K Fujiwara , The second
bounded cohomology of word-hyperbolic groups , Topology
36 (1997) 1275 MR1452851
35
A Fathi , Structure of the group of
homeomorphisms preserving a good measure on a compact
manifold , Ann. Sci. École Norm. Sup. 13 (1980) 45
MR584082
36
F Fournier-Facio , Y
Lodha , Second bounded
cohomology of groups acting on 1 -manifolds and applications to spectrum
problems , Adv. Math. 428 (2023) 109162 MR4604795
37
F Fournier-Facio , C
Löh , M Moraschini , Bounded cohomology
and binate groups , J. Aust. Math. Soc. 115 (2023) 204
MR4640119
38
F Fournier-Facio , C
Löh , M Moraschini , Bounded
cohomology of finitely presented groups: vanishing,
non-vanishing, and computability , Ann. Sc. Norm. Super.
Pisa Cl. Sci. 25 (2024) 1169 MR4778473
39
F Fournier-Facio ,
R D Wade , Aut-invariant
quasimorphisms on groups , Trans. Amer. Math. Soc. 376
(2023) 7307 MR4636691
40
R Frigerio ,
Bounded
cohomology of discrete groups , 227, Amer. Math. Soc.
(2017) MR3726870
41
R Frigerio ,
M B Pozzetti , A Sisto , Extending
higher-dimensional quasi-cocycles , J. Topol. 8 (2015)
1123 MR3431671
42
K Fujiwara , T
Soma , Bounded classes in
the cohomology of manifolds , Geom. Dedicata 92 (2002)
73 MR1934011
43
S M Gersten ,
A
presentation for the special automorphism group of a free
group , J. Pure Appl. Algebra 33 (1984) 269 MR761633
44
L Glebsky , A
Lubotzky , N Monod , B Rangarajan ,
Asymptotic cohomology and uniform stability for lattices in
semisimple groups , preprint (2023) arXiv:2301.00476
45
M Gromov , Volume and
bounded cohomology , Inst. Hautes Études Sci. Publ.
Math. 56 (1982) 5 MR686042
46
M Gromov , Hyperbolic
groups , from: "Essays in group theory", Math. Sci. Res.
Inst. Publ. 8, Springer (1987) 75 MR919829
47
R Hain , Infinitesimal
presentations of the Torelli groups , J. Amer. Math.
Soc. 10 (1997) 597 MR1431828
48
A Hatcher , Algebraic
topology , Cambridge Univ. Press (2002) MR1867354
49
M Hull , D Osin ,
Induced
quasicocycles on groups with hyperbolically embedded
subgroups , Algebr. Geom. Topol. 13 (2013) 2635 MR3116299
50
T Ishida , Quasi-morphisms on the group
of area-preserving diffeomorphisms of the 2 -disk , PhD thesis, University of Tokyo
(2013)
51
T Ishida , Quasi-morphisms
on the group of area-preserving diffeomorphisms of the
2 -disk via braid groups ,
Proc. Amer. Math. Soc. Ser. B 1 (2014) 43 MR3181631
52
T Ishida , Homomorphisms on groups
of volume-preserving diffeomorphisms via fundamental
groups , from: "Geometry, dynamics, and foliations",
Adv. Stud. Pure Math. 72, Math. Soc. Japan (2017) 387 MR3726720
53
N V Ivanov ,
Leray theorems in bounded cohomology theory , preprint
(2020) arXiv:2012.08038
54
M Kaluba , D
Kielak , P W Nowak , On property (T)
for Aut ( F n )
and SL n ( ℤ ) , Ann. of Math. 193 (2021) 539
MR4224715
55
M Kaluba , P W
Nowak , N Ozawa , Aut ( 𝔽 5 ) has
property ( T ) , Math.
Ann. 375 (2019) 1169 MR4023374
56
M Kawasaki ,
Relative
quasimorphisms and stably unbounded norms on the group of
symplectomorphisms of the Euclidean spaces , J.
Symplectic Geom. 14 (2016) 297 MR3523258
57
M Kawasaki ,
Bavard’s
duality theorem on conjugation-invariant norms , Pacific
J. Math. 288 (2017) 157 MR3667767
58
M Kawasaki , M
Kimura , Ĝ -invariant quasimorphisms and symplectic
geometry of surfaces , Israel J. Math. 247 (2022) 845
MR4425357
59
M Kawasaki , M
Kimura , S Maruyama , T Matsushita , M
Mimura , Coarse group theoretic study on stable mixed
commutator length , preprint (2023) arXiv:2306.08618
60
M Kawasaki , M
Kimura , T Matsushita , M Mimura , Bavard’s duality theorem for
mixed commutator length , Enseign. Math. 68 (2022) 441
MR4452430
61
M Kawasaki , M
Kimura , T Matsushita , M Mimura , Commuting
symplectomorphisms on a surface and the flux
homomorphism , Geom. Funct. Anal. 33 (2023) 1322
MR4646410
62
M Kawasaki , S
Maruyama , On boundedness of
characteristic class via quasi-morphism , J. Topol.
Anal. (2024)
63
J Kędra , D
Kotschick , S Morita , Crossed flux
homomorphisms and vanishing theorems for flux groups ,
Geom. Funct. Anal. 16 (2006) 1246 MR2276539
64
M Kimura , Conjugation-invariant
norms on the commutator subgroup of the infinite braid
group , J. Topol. Anal. 10 (2018) 471 MR3809596
65
D Kotschick , S
Morita , Characteristic
classes of foliated surface bundles with area-preserving
holonomy , J. Differential Geom. 75 (2007) 273 MR2286823
66
K Li , Bounded cohomology of
classifying spaces for families of subgroups , Algebr.
Geom. Topol. 23 (2023) 933 MR4587321
67
A V Malyutin ,
Operators in the
spaces of pseudocharacters of braid groups , Algebra i
Analiz 21 (2009) 136 MR2553045
68
K Mann , Unboundedness of
some higher Euler classes , Algebr. Geom. Topol. 20
(2020) 1221 MR4105551
69
S Maruyama , T
Matsushita , M Mimura , Invariant quasimorphisms
for groups acting on the circle and non-equivalence of SCL ,
(2022) arXiv:2203.09221
70
S Matsumoto , S
Morita , Bounded cohomology of certain
groups of homeomorphisms , Proc. Amer. Math. Soc. 94
(1985) 539 MR787909
71
J McCool , A faithful
polynomial representation of Out F 3 , Math. Proc. Cambridge Philos.
Soc. 106 (1989) 207 MR1002533
72
J Milnor , Introduction to
algebraic K -theory , 72,
Princeton Univ. Press (1971) MR349811
73
I Mineyev , Straightening and bounded
cohomology of hyperbolic groups , Geom. Funct. Anal. 11
(2001) 807 MR1866802
74
N Monod , Continuous bounded cohomology
of locally compact groups , 1758, Springer (2001)
MR1840942
75
N Monod , Stabilization for
SL n in bounded cohomology , from:
"Discrete geometric analysis", Contemp. Math. 347, Amer. Math.
Soc. (2004) 191 MR2077038
76
N Monod , Vanishing up to
the rank in bounded cohomology , Math. Res. Lett. 14
(2007) 681 MR2335993
77
N Monod , On the bounded
cohomology of semi-simple groups, S -arithmetic groups and products , J.
Reine Angew. Math. 640 (2010) 167 MR2629693
78
N Monod , Lamplighters and
the bounded cohomology of Thompson’s group , Geom.
Funct. Anal. 32 (2022) 662 MR4431125
79
N Monod , S
Nariman , Bounded and
unbounded cohomology of homeomorphism and diffeomorphism
groups , Invent. Math. 232 (2023) 1439 MR4588567
80
N Monod , Y
Shalom , Cocycle
superrigidity and bounded cohomology for negatively curved
spaces , J. Differential Geom. 67 (2004) 395 MR2153026
81
A Monzner , N
Vichery , F Zapolsky , Partial quasimorphisms
and quasistates on cotangent bundles, and symplectic
homogenization , J. Mod. Dyn. 6 (2012) 205 MR2968955
82
M Moraschini , G
Raptis , Amenability and acyclicity
in bounded cohomology , Rev. Mat. Iberoam. 39 (2023)
2371 MR4671438
83
J Neukirch , A
Schmidt , K Wingberg , Cohomology of
number fields , 323, Springer (2008) MR2392026
84
W D Neumann , L
Reeves , Central extensions of word
hyperbolic groups , Ann. of Math. 145 (1997) 183
MR1432040
85
B B Newman ,
Some results
on one-relator groups , Bull. Amer. Math. Soc. 74 (1968)
568 MR222152
86
M Nitsche , Computer
proofs for property (T), and SDP duality , preprint (2020)
arXiv:2009.05134
87
L Polterovich ,
The
geometry of the group of symplectic diffeomorphisms ,
Birkhäuser (2001) MR1826128
88
L Polterovich , D
Rosen , Function theory on
symplectic manifolds , 34, Amer. Math. Soc. (2014)
MR3241729
89
P Py , Quasi-morphismes
et invariant de Calabi , Ann. Sci. École Norm. Sup. 39
(2006) 177 MR2224660
90
A I Shtern ,
Extension of pseudocharacters from normal subgroups,
III , Proc. Jangjeon Math. Soc. 19 (2016) 609 MR3618452
91
W Thurston ,
Noncobordant
foliations of S 3 , Bull. Amer. Math. Soc. 78
(1972) 511 MR298692
92
W P Thurston ,
On the structure of the group of volume preserving
diffeomorphisms , preprint (1973)
93
W P Thurston ,
Hyperbolic structures on 3 -manifolds, II : Surface groups and
3 -manifolds which fiber over the
circle , preprint (1986) arXiv:math/9801045
94
B Tshishiku ,
Borel’s
stable range for the cohomology of arithmetic groups ,
J. Lie Theory 29 (2019) 1093 MR4022145
95
T Tsuboi , On the uniform
perfectness of diffeomorphism groups , from: "Groups of
diffeomorphisms", Adv. Stud. Pure Math. 52, Math. Soc. Japan
(2008) 505 MR2509724
96
T Tsuboi , On the uniform perfectness of
the groups of diffeomorphisms of even-dimensional
manifolds , Comment. Math. Helv. 87 (2012) 141 MR2874899
97
T Tsuboi , Several problems on
groups of diffeomorphisms , from: "Geometry, dynamics,
and foliations", Adv. Stud. Pure Math. 72, Math. Soc. Japan
(2017) 239 MR3726712