Recent Issues
Volume 24, 8 issues
Volume 24
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594
Volume 23, 9 issues
Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508
Volume 22, 8 issues
Volume 22
Issue 8, 3533–4008
Issue 7, 3059–3532
Issue 6, 2533–3057
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472
Volume 21, 7 issues
Volume 21
Issue 7, 3221–3734
Issue 6, 2677–3220
Issue 5, 2141–2676
Issue 4, 1595–2140
Issue 3, 1075–1593
Issue 2, 543–1074
Issue 1, 1–541
Volume 20, 7 issues
Volume 20
Issue 7, 3219–3760
Issue 6, 2687–3218
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529
Volume 19, 7 issues
Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532
Volume 18, 7 issues
Volume 18
Issue 7, 3749–4373
Issue 6, 3133–3747
Issue 5, 2509–3131
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633
Volume 17, 6 issues
Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643
Volume 16, 6 issues
Volume 16
Issue 6, 3073–3719
Issue 5, 2459–3071
Issue 4, 1827–2458
Issue 3, 1253–1825
Issue 2, 621–1251
Issue 1, 1–620
Volume 15, 6 issues
Volume 15
Issue 6, 3107–3729
Issue 5, 2479–3106
Issue 4, 1863–2477
Issue 3, 1239–1862
Issue 2, 623–1238
Issue 1, 1–622
Volume 14, 6 issues
Volume 14
Issue 6, 3141–3763
Issue 5, 2511–3139
Issue 4, 1881–2509
Issue 3, 1249–1879
Issue 2, 627–1247
Issue 1, 1–625
Volume 13, 6 issues
Volume 13
Issue 6, 3099–3731
Issue 5, 2471–3097
Issue 4, 1857–2469
Issue 3, 1243–1856
Issue 2, 625–1241
Issue 1, 1–624
Volume 12, 4 issues
Volume 12
Issue 4, 1901–2517
Issue 3, 1265–1899
Issue 2, 643–1263
Issue 1, 1–641
Volume 11, 5 issues
Volume 11
Issue 5, 2477–3084
Issue 4, 1861–2475
Issue 3, 1243–1860
Issue 2, 625–1242
Issue 1, 1–624
Volume 10, 4 issues
Volume 10
Issue 4, 1865–2468
Issue 3, 1245–1863
Issue 2, 627–1244
Issue 1, 1–625
Volume 9, 4 issues
Volume 9
Issue 4, 1885–2502
Issue 3, 1255–1883
Issue 2, 625–1254
Issue 1, 1–624
Volume 8, 4 issues
Volume 8
Issue 4, 1855–2414
Issue 3, 1223–1853
Issue 2, 615–1222
Issue 1, 1–613
Volume 7, 4 issues
Volume 7
Issue 4, 1633–2270
Issue 3, 1135–1632
Issue 2, 529–1134
Issue 1, 1–528
Volume 6, 5 issues
Volume 6
Issue 5, 2031–2518
Issue 4, 1519–2029
Issue 3, 1025–1517
Issue 2, 513–1024
Issue 1, 1–512
Volume 5, 4 issues
Volume 5
Issue 4, 1291–1732
Issue 3, 865–1290
Issue 2, 443–864
Issue 1, 1–442
Volume 4, 2 issues
Volume 4
Issue 2, 647–1272
Issue 1, 1–645
Volume 3, 2 issues
Volume 3
Issue 2, 623–1292
Issue 1, 1–622
Volume 2, 2 issues
Volume 2
Issue 2, 591–1204
Issue 1, 1–590
Volume 1, 2 issues
Volume 1
Issue 2, 627–790
Issue 1, 1–625
1
A Abbondandolo , M
Schwarz , On
the Floer homology of cotangent bundles , Comm. Pure
Appl. Math. 59 (2006) 254 MR2190223
2
A Abbondandolo , M
Schwarz , A smooth
pseudo-gradient for the Lagrangian action functional ,
Adv. Nonlinear Stud. 9 (2009) 597 MR2560122
3
L Auslander ,
On curvature in
Finsler geometry , Trans. Amer. Math. Soc. 79 (1955) 378
MR71833
4
W Ballmann , G
Thorbergsson , W Ziller , Closed geodesics on
positively curved manifolds , Ann. of Math. 116 (1982)
213 MR672836
5
W Ballmann , G
Thorbergsson , W Ziller , Existence of closed
geodesics on positively curved manifolds , J.
Differential Geom. 18 (1983) 221 MR710053
6
V Bangert , Y
Long , The existence of
two closed geodesics on every Finsler 2 –sphere , Math. Ann. 346 (2010) 335
MR2563691
7
D Bao , S S
Chern , Z Shen , An introduction to
Riemann–Finsler geometry , 200, Springer (2000) MR1747675
8
T Bartsch , Topological methods for
variational problems with symmetries , 1560, Springer
(1993) MR1295238
9
V Benci , Periodic
solutions of Lagrangian systems on a compact manifold ,
J. Differential Equations 63 (1986) 135 MR848265
10
R Bott , G
Segal , The cohomology
of the vector fields on a manifold , Topology 16 (1977)
285 MR645730
11
G E Bredon ,
Topology
and geometry , 139, Springer (1993) MR1224675
12
M Clapp , D
Puppe , Critical point theory with
symmetries , J. Reine Angew. Math. 418 (1991) 1 MR1111200
13
M Clapp , D
Puppe , Critical point
theory of symmetric functions and closed geodesics ,
Differential Geom. Appl. 6 (1996) 367 MR1422342
14
F R Cohen ,
On the
Lusternik–Schnirelmann category of an iterated loop
space , from: "Stable and unstable homotopy" (editors
W G Dwyer, S Halperin, R Kane, S O Kochman, M E
Mahowald, P S Selick), Fields Inst. Commun. 19, Amer.
Math. Soc. (1998) 39 MR1622336
15
R L Cohen ,
J D S Jones , A homotopy
theoretic realization of string topology , Math. Ann.
324 (2002) 773 MR1942249
16
O Cornea , G
Lupton , J Oprea , D Tanré , Lusternik–Schnirelmann
category , 103, Amer. Math. Soc. (2003) MR1990857
17
H Duan , Y Long ,
W Wang , Two closed geodesics
on compact simply connected bumpy Finsler manifolds , J.
Differential Geom. 104 (2016) 275 MR3557305
18
E Fadell , S
Husseini , A
note on the category of the free loop space , Proc.
Amer. Math. Soc. 107 (1989) 527 MR984789
19
E Fadell , S
Husseini , Category weight and Steenrod
operations , Bol. Soc. Mat. Mexicana 37 (1992) 151
MR1317569
20
M Farber , Topological
complexity of motion planning , Discrete Comput. Geom.
29 (2003) 211 MR1957228
21
M Farber , Topology of robot
motion planning , from: "Morse theoretic methods in
nonlinear analysis and in symplectic topology" (editors P
Biran, O Cornea, F Lalonde), NATO Sci. Ser. II Math. Phys.
Chem. 217, Springer (2006) 185 MR2276952
22
M Farber , Invitation to topological
robotics , Eur. Math. Soc. (2008) MR2455573
23
M Farber , M
Grant , Symmetric motion
planning , from: "Topology and robotics" (editors M
Farber, R Ghrist, M Burger, D Koditschek), Contemp. Math. 438,
Amer. Math. Soc. (2007) 85 MR2359031
24
M Farber , M
Grant , Robot motion
planning, weights of cohomology classes, and cohomology
operations , Proc. Amer. Math. Soc. 136 (2008) 3339
MR2407101
25
L Fernández Suárez ,
P Ghienne , T Kahl , L Vandembroucq ,
Joins of
DGA modules and sectional category , Algebr. Geom.
Topol. 6 (2006) 119 MR2199456
26
R H Fox ,
On the
Lusternik–Schnirelmann category , Ann. of Math. 42
(1941) 333 MR4108
27
U Frauenfelder ,
W J Merry , G P Paternain , Floer homology for
magnetic fields with at most linear growth on the universal
cover , J. Funct. Anal. 262 (2012) 3062 MR2885947
28
J C
Gómez-Larrañaga , F González-Acuña , Lusternik–Schnirelmann
category of 3 –manifolds ,
Topology 31 (1992) 791 MR1191380
29
M Grant , S
Mescher , Topological
complexity of symplectic manifolds , Math. Z. 295 (2020)
667 MR4100027
30
P de la Harpe ,
Brouwer
degree, domination of manifolds, and groups presentable by
products , Bull. Manifold Atlas 2017 (2017)
31
S T Hu , Theory
of retracts , Wayne State Univ. Press (1965) 234 MR0181977
32
J D S Jones ,
Cyclic homology
and equivariant homology , Invent. Math. 87 (1987) 403
MR870737
33
W Klingenberg ,
Lectures
on closed geodesics , 230, Springer (1978) MR0478069
34
W Klingenberg ,
Riemannian geometry , 1, de Gruyter (1982) MR666697
35
D Kotschick , C
Löh , Fundamental classes not
representable by products , J. Lond. Math. Soc. 79
(2009) 545 MR2506686
36
D Kotschick , C
Neofytidis , On three-manifolds
dominated by circle bundles , Math. Z. 274 (2013) 21
MR3054316
37
A Kriegl , P W
Michor , The
convenient setting of global analysis , 53, Amer. Math.
Soc. (1997) MR1471480
38
J L Loday ,
Free loop space and
homology , from: "Free loop spaces in geometry and
topology" (editors J Latschev, A Oancea), IRMA Lect. Math.
Theor. Phys. 24, Eur. Math. Soc. (2015) 137 MR3444364
39
Y Long , H Duan ,
Multiple
closed geodesics on 3 –spheres , Adv. Math. 221 (2009) 1757
MR2522828
40
L Meier , A
Hilbert manifold model for mapping spaces , preprint
(2010)
41
F Mercuri , The critical points theory
for the closed geodesics problem , Math. Z. 156 (1977)
231 MR474115
42
A Oancea , Morse theory, closed geodesics,
and the homology of free loop spaces , from: "Free loop
spaces in geometry and topology" (editors J Latschev, A
Oancea), IRMA Lect. Math. Theor. Phys. 24, Eur. Math. Soc.
(2015) 67 MR3444362
43
R S Palais ,
Homotopy theory
of infinite dimensional manifolds , Topology 5 (1966) 1
MR189028
44
R S Palais ,
Lusternik–Schnirelman
theory on Banach manifolds , Topology 5 (1966) 115
MR259955
45
P Petersen ,
Riemannian
geometry , 171, Springer (2016) MR3469435
46
H B Rademacher ,
Morse-Theorie und geschlossene Geodätische ,
Habilitationsschrift, Universität Bonn (1991)
47
H B Rademacher ,
Nonreversible
Finsler metrics of positive flag curvature , from: "A
sampler of Riemann–Finsler geometry" (editors D Bao, R L
Bryant, S S Chern, Z Shen), Math. Sci. Res. Inst. Publ.
50, Cambridge Univ. Press (2004) 261 MR2132661
48
H B Rademacher ,
A sphere
theorem for non-reversible Finsler metrics , Math. Ann.
328 (2004) 373 MR2036326
49
H B Rademacher ,
The
second closed geodesic on Finsler spheres of dimension
n > 2 , Trans. Amer. Math. Soc. 362 (2010)
1413 MR2563734
50
Y B Rudyak ,
On
category weight and its applications , Topology 38
(1999) 37 MR1644063
51
Y B Rudyak , F
Schlenk , Lusternik–Schnirelmann
theory for fixed points of maps , Topol. Methods
Nonlinear Anal. 21 (2003) 171 MR1980143
52
A S Schwarz ,
The genus of a
fibre space , Tr. Mosk. Mat. Obs. 11 (1962) 99 MR0151982
53
E H Spanier ,
Algebraic
topology , McGraw-Hill (1966) MR0210112
54
J Strom , Modern classical homotopy
theory , 127, Amer. Math. Soc. (2011) MR2839990
55
R Thom , Quelques propriétés
globales des variétés différentiables , Comment. Math.
Helv. 28 (1954) 17 MR61823
56
W Wang , Multiple closed
geodesics on positively curved Finsler manifolds , Adv.
Nonlinear Stud. 19 (2019) 495 MR3985003
57
E Zehnder , Lectures on dynamical systems:
Hamiltonian vector fields and symplectic capacities ,
Eur. Math. Soc. (2010) MR2664490