Recent Issues
Volume 26, 7 issues
Volume 26
Issue 7, 2855–3306
Issue 6, 2405–2853
Issue 5, 1907–2404
Issue 4, 1435–1905
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476
Volume 25, 7 issues
Volume 25
Issue 7, 3257–3753
Issue 6, 2713–3256
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546
Volume 24, 7 issues
Volume 24
Issue 7, 3219–3748
Issue 6, 2675–3218
Issue 5, 2149–2674
Issue 4, 1615–2148
Issue 3, 1075–1614
Issue 2, 533–1073
Issue 1, 1–532
Volume 23, 7 issues
Volume 23
Issue 7, 3233–3749
Issue 6, 2701–3231
Issue 5, 2165–2700
Issue 4, 1621–2164
Issue 3, 1085–1619
Issue 2, 541–1084
Issue 1, 1–540
Volume 22, 7 issues
Volume 22
Issue 7, 3761–4380
Issue 6, 3145–3760
Issue 5, 2511–3144
Issue 4, 1893–2510
Issue 3, 1267–1891
Issue 2, 645–1266
Issue 1, 1–644
Volume 21, 6 issues
Volume 21
Issue 6, 3191–3810
Issue 5, 2557–3190
Issue 4, 1931–2555
Issue 3, 1285–1930
Issue 2, 647–1283
Issue 1, 1–645
Volume 20, 6 issues
Volume 20
Issue 6, 3057–3673
Issue 5, 2439–3056
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627
Volume 19, 6 issues
Volume 19
Issue 6, 3031–3656
Issue 5, 2407–3030
Issue 4, 1777–2406
Issue 3, 1155–1775
Issue 2, 525–1154
Issue 1, 1–523
Volume 18, 5 issues
Volume 18
Issue 5, 2487–3110
Issue 4, 1865–2486
Issue 3, 1245–1863
Issue 2, 617–1244
Issue 1, 1–616
Volume 17, 5 issues
Volume 17
Issue 5, 2513–3134
Issue 4, 1877–2512
Issue 3, 1253–1876
Issue 2, 621–1252
Issue 1, 1–620
Volume 16, 4 issues
Volume 16
Issue 4, 1881–2516
Issue 3, 1247–1880
Issue 2, 625–1246
Issue 1, 1–624
Volume 15, 4 issues
Volume 15
Issue 4, 1843–2457
Issue 3, 1225–1842
Issue 2, 609–1224
Issue 1, 1–607
Volume 14, 5 issues
Volume 14
Issue 5, 2497–3000
Issue 4, 1871–2496
Issue 3, 1243–1870
Issue 2, 627–1242
Issue 1, 1–626
Volume 13, 5 issues
Volume 13
Issue 5, 2427–3054
Issue 4, 1835–2425
Issue 3, 1229–1833
Issue 2, 623–1227
Issue 1, 1–621
Volume 12, 5 issues
Volume 12
Issue 5, 2517–2855
Issue 4, 1883–2515
Issue 3, 1265–1882
Issue 2, 639–1263
Issue 1, 1–637
Volume 11, 4 issues
Volume 11
Issue 4, 1855–2440
Issue 3, 1255–1854
Issue 2, 643–1254
Issue 1, 1–642
Volume 10, 4 issues
Volume 10
Issue 4, 1855–2504
Issue 3, 1239–1853
Issue 2, 619–1238
Issue 1, 1–617
Volume 9, 4 issues
Volume 9
Issue 4, 1775–2415
Issue 3, 1187–1774
Issue 2, 571–1185
Issue 1, 1–569
Volume 8, 3 issues
Volume 8
Issue 3, 1013–1499
Issue 2, 511–1012
Issue 1, 1–509
Volume 7, 2 issues
Volume 7
Issue 2, 569–1073
Issue 1, 1–568
Volume 6, 2 issues
Volume 6
Issue 2, 495–990
Issue 1, 1–494
Volume 5, 2 issues
Volume 5
Issue 2, 441–945
Issue 1, 1–440
Volume 4, 1 issue
Volume 3, 1 issue
Volume 2, 1 issue
Volume 1, 1 issue
1
S A Barannikov ,
The framed Morse complex and its invariants , from:
"Singularities and bifurcations" (editor V I Arnold), Adv.
Soviet Math. 21, Amer. Math. Soc. (1994) 93 MR1310596
2
F Béguin , S
Crovisier , F Le Roux , Pseudo-rotations of
the open annulus , Bull. Braz. Math. Soc. 37 (2006) 275
MR2266384
3
M Bonino , A dynamical
property for planar homeomorphisms and an application to the
problem of canonical position around an isolated fixed
point , Topology 40 (2001) 1241 MR1867244
4
L Buhovsky , V
Humilière , S Seyfaddini , The action
spectrum and C 0 symplectic topology , Math. Ann.
380 (2021) 293 MR4263685
5
F Chazal , D
Cohen-Steiner , M Glisse , L J Guibas ,
S Y Oudot , Proximity of
persistence modules and their diagrams , from:
"Proceedings of the Twenty-fifth Annual Symposium on
Computational Geometry", ACM (2009) 237
6
F Chazal , V de
Silva , M Glisse , S Oudot , The structure and
stability of persistence modules , Springer (2016)
MR3524869
7
K Cieliebak , A
Floer , H Hofer , K Wysocki , Applications of symplectic
homology, II : Stability of the action spectrum , Math.
Z. 223 (1996) 27 MR1408861
8
D Cohen-Steiner , H
Edelsbrunner , J Harer , Stability of
persistence diagrams , Discrete Comput. Geom. 37 (2007)
103 MR2279866
9
J Conejeros ,
The local
rotation set is an interval , Ergodic Theory Dynam.
Systems 38 (2018) 2571 MR3846718
10
C Conley , Isolated
invariant sets and the Morse index , 38, Amer. Math. Soc.
(1978) MR511133
11
M Entov , L
Polterovich , P Py , On continuity of
quasimorphisms for symplectic maps , from: "Perspectives
in analysis, geometry, and topology" (editors I Itenberg, B
Jöricke, M Passare), Progr. Math. 296, Springer (2012) 169
MR2884036
12
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
13
A Floer , Cuplength estimates on
Lagrangian intersections , Comm. Pure Appl. Math. 42
(1989) 335 MR990135
14
A Floer , Symplectic fixed points
and holomorphic spheres , Comm. Math. Phys. 120 (1989)
575 MR987770
15
A Floer , Witten’s
complex and infinite-dimensional Morse theory , J.
Differential Geom. 30 (1989) 207 MR1001276
16
J M Gambaudo ,
É Ghys , Commutators and
diffeomorphisms of surfaces , Ergodic Theory Dynam.
Systems 24 (2004) 1591 MR2104597
17
V L Ginzburg ,
The
Conley conjecture , Ann. of Math. 172 (2010) 1127
MR2680488
18
V L Ginzburg ,
B Z Gürel , Action and index
spectra and periodic orbits in Hamiltonian dynamics ,
Geom. Topol. 13 (2009) 2745 MR2529945
19
V L Ginzburg ,
B Z Gürel , Local Floer
homology and the action gap , J. Symplectic Geom. 8
(2010) 323 MR2684510
20
E Glasner , B
Weiss , The topological Rohlin
property and topological entropy , Amer. J. Math. 123
(2001) 1055 MR1867311
21
E Glasner , B
Weiss , Topological groups with
Rokhlin properties , Colloq. Math. 110 (2008) 51
MR2353899
22
L Guillou , On the structure of
homeomorphisms of the open annulus , Ann. Fac. Sci.
Toulouse Math. 20 (2011) 367 MR2847887
23
A Hatcher , Algebraic
topology , Cambridge Univ. Press (2002) MR1867354
24
A Hatcher , The
Kirby torus trick for surfaces , preprint (2013) arXiv:1312.3518
25
N Hingston ,
Subharmonic
solutions of Hamiltonian equations on tori , Ann. of
Math. 170 (2009) 529 MR2552101
26
H Hofer , Lusternik–Schnirelman-theory
for Lagrangian intersections , Ann. Inst. H. Poincaré
Anal. Non Linéaire 5 (1988) 465 MR970850
27
L Hörmander ,
Fourier
integral operators, I , Acta Math. 127 (1971) 79
MR388463
28
M Kashiwara , P
Schapira , Sheaves on
manifolds , 292, Springer (1990) MR1074006
29
M Kashiwara , P
Schapira , Persistent homology
and microlocal sheaf theory , J. Appl. Comput. Topol. 2
(2018) 83 MR3873181
30
A Katok , B
Hasselblatt , Introduction to the
modern theory of dynamical systems , 54, Cambridge Univ.
Press (1995) MR1326374
31
A Kislev , E
Shelukhin , Bounds on spectral norms and barcodes ,
preprint (2018) arXiv:1810.09865
32
F Lalonde , D
McDuff , The
geometry of symplectic energy , Ann. of Math. 141 (1995)
349 MR1324138
33
F Laudenbach , On an
article by S A Barannikov , preprint (2015) arXiv:1509.03490
34
F Laudenbach ,
J C Sikorav , Persistance d’intersection
avec la section nulle au cours d’une isotopie hamiltonienne
dans un fibré cotangent , Invent. Math. 82 (1985) 349
MR809719
35
P Le Calvez ,
Une
propriété dynamique des homéomorphismes du plan au voisinage
d’un point fixe d’indice >
1 , Topology 38 (1999) 23
MR1644067
36
P Le Calvez ,
Dynamique des
homéomorphismes du plan au voisinage d’un point fixe ,
Ann. Sci. École Norm. Sup. 36 (2003) 139 MR1987979
37
P Le Calvez ,
Une
version feuilletée équivariante du théorème de translation de
Brouwer , Publ. Math. Inst. Hautes Études Sci. 102
(2005) 1 MR2217051
38
P Le Calvez ,
Pourquoi les
points périodiques des homéomorphismes du plan tournent-ils
autour de certains points fixes ? , Ann. Sci. Éc. Norm.
Supér. 41 (2008) 141 MR2423312
39
P Le Calvez ,
J C Yoccoz , Un théorème d’indice pour les
homéomorphismes du plan au voisinage d’un point fixe ,
Ann. of Math. 146 (1997) 241 MR1477759
40
D Le Peutrec , F
Nier , C Viterbo , Precise Arrhenius
law for p –forms : the Witten
Laplacian and Morse–Barannikov complex , Ann. Henri
Poincaré 14 (2013) 567 MR3035640
41
F Le Roux , Homéomorphismes
de surfaces : théorèmes de la fleur de Leau–Fatou et de la
variété stable , 292, Soc. Math. France (2004) MR2068866
42
F Le Roux , Simplicity of
Homeo ( 𝔻 2 ,∂ 𝔻 2 , Area )
and fragmentation of symplectic diffeomorphisms , J.
Symplectic Geom. 8 (2010) 73 MR2609630
43
F Le Roux , L’ensemble
de rotation autour d’un point fixe , 350, Soc. Math.
France (2013) MR3112082
44
K Mann , M
Wolff , Rigidity of mapping
class group actions on S 1 , Geom. Topol. 24 (2020) 1211
MR4157553
45
C K McCord ,
On the Hopf index
and the Conley index , Trans. Amer. Math. Soc. 313
(1989) 853 MR961594
46
N A Nikišin ,
Fixed points of the
diffeomorphisms of the two-sphere that preserve oriented
area , Funkcional. Anal. i Priložen. 8 (1974) 90
MR0346846
47
A Oancea , A survey
of Floer homology for manifolds with contact type boundary or
symplectic homology , from: "Symplectic geometry and Floer
homology : a survey of the Floer homology for manifolds with
contact type boundary or symplectic homology", Ensaios Mat. 7,
Soc. Brasil. Mat. (2004) 51 MR2100955
48
Y G Oh ,
Construction of
spectral invariants of Hamiltonian paths on closed symplectic
manifolds , from: "The breadth of symplectic and Poisson
geometry" (editors J E Marsden, T S Ratiu), Progr.
Math. 232, Birkhäuser (2005) 525 MR2103018
49
Y G Oh , S
Müller , The group of
Hamiltonian homeomorphisms and C 0 –symplectic topology , J.
Symplectic Geom. 5 (2007) 167 MR2377251
50
Y Ostrover ,
A
comparison of Hofer’s metrics on Hamiltonian diffeomorphisms
and Lagrangian submanifolds , Commun. Contemp. Math. 5
(2003) 803 MR2017719
51
J C Oxtoby ,
S M Ulam , Measure-preserving
homeomorphisms and metrical transitivity , Ann. of Math.
42 (1941) 874 MR5803
52
A Patou , Arcs
libres d’homéomorphismes en dimension 2 , PhD thesis, Université Joseph Fourier,
Grenoble (2006)
53
S Pelikan , E E
Slaminka , A bound for the
fixed point index of area-preserving homeomorphisms of
two-manifolds , Ergodic Theory Dynam. Systems 7 (1987)
463 MR912377
54
L Polterovich ,
The
geometry of the group of symplectic diffeomorphisms ,
Birkhäuser (2001) MR1826128
55
L Polterovich , D
Rosen , K Samvelyan , J Zhang , Topological
persistence in geometry and analysis , 74, Amer. Math. Soc.
(2020) MR4249570
56
L Polterovich , E
Shelukhin , Autonomous
Hamiltonian flows, Hofer’s geometry and persistence
modules , Selecta Math. 22 (2016) 227 MR3437837
57
L Polterovich , E
Shelukhin , V Stojisavljević , Persistence
modules with operators in Morse and Floer theory , Mosc.
Math. J. 17 (2017) 757 MR3734662
58
P E Pushkar ,
Y V Chekanov , Combinatorics of fronts of
Legendrian links, and Arnold’s 4 –conjectures , Uspekhi Mat. Nauk 60
(2005) 99 MR2145660
59
B V Schmitt ,
L’espace des
homéomorphismes du plan qui admettent un seul point fixe
d’indice donné est connexe par arcs , Topology 18 (1979)
235 MR546793
60
S Seyfaddini ,
C 0 –limits of Hamiltonian paths and the
Oh–Schwarz spectral invariants , Int. Math. Res. Not.
2013 (2013) 4920 MR3123670
61
S Seyfaddini ,
Spectral
killers and Poisson bracket invariants , J. Mod. Dyn. 9
(2015) 51 MR3395260
62
E Shelukhin ,
Viterbo conjecture for Zoll symmetric spaces , preprint
(2018) arXiv:1811.05552
63
J C Sikorav ,
Points fixes
d’une application symplectique homologue à l’identité ,
J. Differential Geom. 22 (1985) 49 MR826424
64
C P Simon ,
A bound for the
fixed-point index of an area-preserving map with applications
to mechanics , Invent. Math. 26 (1974) 187 MR353372
65
E E Slaminka ,
Removing index
0 fixed points for area preserving
maps of two-manifolds , Trans. Amer. Math. Soc. 340
(1993) 429 MR1145963
66
M Usher , The sharp
energy-capacity inequality , Commun. Contemp. Math. 12
(2010) 457 MR2661273
67
M Usher , J
Zhang , Persistent homology
and Floer–Novikov theory , Geom. Topol. 20 (2016) 3333
MR3590354
68
C Viterbo , Symplectic topology as the
geometry of generating functions , Math. Ann. 292 (1992)
685 MR1157321
69
C Viterbo , Functors
and computations in Floer homology with applications, II ,
preprint (2018) arXiv:1805.01316
70
A Zomorodian , G
Carlsson , Computing
persistent homology , Discrete Comput. Geom. 33 (2005)
249 MR2121296