Recent Issues
Volume 25, 3 issues
Volume 25
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644
Volume 24, 9 issues
Volume 24
Issue 9, 4731–5219
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
M Abouzaid ,
Symplectic
cohomology and Viterbo’s theorem , from: "Free loop
spaces in geometry and topology" (editors J Latschev, A
Oancea), IRMA Lect. Math. Theor. Phys. 24, Eur. Math. Soc.
(2015) 271 MR3444367
2
M Audin , M
Damian , Morse theory and
Floer homology , Springer (2014) MR3155456
3
D M Austin ,
P J Braam , Morse–Bott theory
and equivariant cohomology , from: "The Floer memorial
volume" (editors H Hofer, C H Taubes, A Weinstein, E
Zehnder), Progr. Math. 133, Birkhäuser (1995) 123 MR1362827
4
A Banyaga , D E
Hurtubise , Morse–Bott
homology , Trans. Amer. Math. Soc. 362 (2010) 3997
MR2608393
5
A Banyaga , D E
Hurtubise , Cascades and
perturbed Morse–Bott functions , Algebr. Geom. Topol. 13
(2013) 237 MR3031642
6
J F Barraud , O
Cornea , Lagrangian
intersections and the Serre spectral sequence , Ann. of
Math. 166 (2007) 657 MR2373371
7
P Biran , O
Cornea , A
Lagrangian quantum homology , from: "New perspectives
and challenges in symplectic field theory" (editors M Abreu, F
Lalonde, L Polterovich), CRM Proc. Lecture Notes 49, Amer.
Math. Soc. (2009) 1 MR2555932
8
R Bott , Nondegenerate critical
manifolds , Ann. of Math. 60 (1954) 248 MR0064399
9
R Bott , An
application of the Morse theory to the topology of
Lie-groups , Bull. Soc. Math. France 84 (1956) 251
MR0087035
10
R Bott , H
Samelson , Applications of the theory of
Morse to symmetric spaces , Amer. J. Math. 80 (1958) 964
MR0105694
11
R Bott , L W
Tu , Differential forms
in algebraic topology , 82, Springer (1982) MR0658304
12
F Bourgeois ,
A
Morse–Bott approach to contact homology , PhD thesis,
Stanford University (2002) MR2703292
13
F Bourgeois , K
Mohnke , Coherent
orientations in symplectic field theory , Math. Z. 248
(2004) 123 MR2092725
14
F Bourgeois , A
Oancea , An exact sequence
for contact- and symplectic homology , Invent. Math. 175
(2009) 611 MR2471597
15
F Bourgeois , A
Oancea , Symplectic
homology, autonomous Hamiltonians, and Morse–Bott moduli
spaces , Duke Math. J. 146 (2009) 71 MR2475400
16
F Bourgeois , A
Oancea , The Gysin exact
sequence for S 1 –equivariant symplectic homology ,
J. Topol. Anal. 5 (2013) 361 MR3152208
17
K Cieliebak , K
Mohnke , Symplectic
hypersurfaces and transversality in Gromov–Witten
theory , J. Symplectic Geom. 5 (2007) 281 MR2399678
18
K Cieliebak , E
Volkov , Chern–Simons theory and string topology ,
preprint (2023) arXiv:2312.05922
19
R L Cohen ,
J D S Jones , G B Segal ,
Floer’s
infinite-dimensional Morse theory and homotopy theory ,
from: "The Floer memorial volume" (editors H Hofer, C H
Taubes, A Weinstein, E Zehnder), Progr. Math. 133, Birkhäuser
(1995) 297 MR1362832
20
L Diogo , S T
Lisi , Morse–Bott split
symplectic homology , J. Fixed Point Theory Appl. 21
(2019) 77 MR3981446
21
L Diogo , S T
Lisi , Symplectic homology of
complements of smooth divisors , J. Topol. 12 (2019) 967
MR4072162
22
S Dostoglou ,
D A Salamon , Self-dual instantons and
holomorphic curves , Ann. of Math. 139 (1994) 581
MR1283871
23
Y Eliashberg , A
Givental , H Hofer , Introduction to
symplectic field theory , from: "Visions in mathematics"
(editors N Alon, J Bourgain, A Connes, M Gromov, V Milman),
Birkhäuser (= GAFA special volume) (2000) 560 MR1826267
24
O Fabert , J W
Fish , R Golovko , K Wehrheim , Polyfolds: a first and second
look , EMS Surv. Math. Sci. 3 (2016) 131 MR3576532
25
B Filippenko ,
Polyfold
regularization of constrained moduli spaces , J.
Symplectic Geom. 19 (2021) 241 MR4325406
26
J Fish , H
Hofer , Applications of polyfold theory, II: The
polyfolds of symplectic field theory , in preparation
27
A Floer , An instanton-invariant for
3 –manifolds , Comm. Math.
Phys. 118 (1988) 215 MR0956166
28
A Floer , Morse theory
for Lagrangian intersections , J. Differential Geom. 28
(1988) 513 MR0965228
29
A Floer , Symplectic fixed points
and holomorphic spheres , Comm. Math. Phys. 120 (1989)
575 MR0987770
30
A Floer , Witten’s
complex and infinite-dimensional Morse theory , J.
Differential Geom. 30 (1989) 207 MR1001276
31
A Floer , H
Hofer , Coherent orientations for
periodic orbit problems in symplectic geometry , Math.
Z. 212 (1993) 13 MR1200162
32
U Frauenfelder ,
The
Arnold–Givental conjecture and moment Floer homology ,
Int. Math. Res. Not. 2004 (2004) 2179 MR2076142
33
K Fukaya , Floer homology
of connected sum of homology 3 –spheres , Topology 35 (1996) 89
MR1367277
34
K Fukaya , Y G
Oh , H Ohta , K Ono , Lagrangian intersection
Floer theory : anomaly and obstruction, II , 46.2, Amer.
Math. Soc. (2009) MR2548482
35
K Fukaya , Y G
Oh , H Ohta , K Ono , Kuranishi structure,
pseudo-holomorphic curve, and virtual fundamental chain, I ,
preprint (2015) arXiv:1503.07631
36
P Griffiths , J
Harris , Principles of algebraic
geometry , Wiley (1978) MR507725
37
M Gromov , Pseudo holomorphic curves
in symplectic manifolds , Invent. Math. 82 (1985) 307
MR0809718
38
V W Guillemin ,
S Sternberg , Supersymmetry and
equivariant de Rham theory , Springer (1999) MR1689252
39
F R Harvey ,
H B Lawson Jr. , Finite volume flows and Morse
theory , Ann. of Math. 153 (2001) 1 MR1826410
40
H Hofer , K
Wysocki , E Zehnder , A general Fredholm theory, I
: A splicing-based differential geometry , J. Eur. Math.
Soc. 9 (2007) 841 MR2341834
41
H Hofer , K
Wysocki , E Zehnder , A general Fredholm
theory, II : Implicit function theorems , Geom. Funct.
Anal. 19 (2009) 206 MR2507223
42
H Hofer , K
Wysocki , E Zehnder , A general Fredholm
theory, III : Fredholm functors and polyfolds , Geom.
Topol. 13 (2009) 2279 MR2515707
43
H Hofer , K
Wysocki , E Zehnder , Integration theory
on the zero sets of polyfold Fredholm sections , Math.
Ann. 346 (2010) 139 MR2558891
44
H Hofer , K
Wysocki , E Zehnder , Polyfold and
Fredholm theory , 72, Springer (2021) MR4298268
45
D E Hurtubise ,
Multicomplexes and
spectral sequences , J. Algebra Appl. 9 (2010) 519
MR2718643
46
E N Ionel ,
T H Parker , A natural Gromov–Witten virtual
fundamental class , preprint (2013) arXiv:1302.3472
47
D Joyce , On
manifolds with corners , from: "Advances in geometric
analysis" (editors S Janeczko, J Li, D H Phong), Adv.
Lect. Math. 21, International (2012) 225 MR3077259
48
D Joyce , A new
definition of Kuranishi space , preprint (2014) arXiv:1409.6908
49
M Kontsevich , Y
Soibelman , Homological
mirror symmetry and torus fibrations , from: "Symplectic
geometry and mirror symmetry" (editors K Fukaya, Y G Oh, K
Ono, G Tian), World Sci. (2001) 203 MR1882331
50
P Kronheimer , T
Mrowka , Monopoles and
three-manifolds , 10, Cambridge Univ. Press (2007)
MR2388043
51
J Latschev ,
Gradient
flows of Morse–Bott functions , Math. Ann. 318 (2000)
731 MR1802508
52
J Li , G Tian ,
Virtual moduli cycles and Gromov–Witten invariants of
general symplectic manifolds , from: "Topics in symplectic
4 –manifolds" (editor R J
Stern), First Int. Press Lect. Ser. 1, International (1998) 47
MR1635695
53
F Lin , A Morse–Bott approach to
monopole Floer homology and the triangulation
conjecture , 1221, Amer. Math. Soc. (2018) MR3827053
54
R Lipshitz , S
Sarkar , A Khovanov
stable homotopy type , J. Amer. Math. Soc. 27 (2014) 983
MR3230817
55
J McCleary , User’s
guide to spectral sequences , 12, Publish or Perish (1985)
MR820463
56
D McDuff , D
Salamon , J –holomorphic curves and symplectic
topology , 52, Amer. Math. Soc. (2004) MR2045629
57
D McDuff , K
Wehrheim , Smooth Kuranishi
atlases with isotropy , Geom. Topol. 21 (2017) 2725
MR3687107
58
R Melrose , Differential analysis on
manifolds with corners , unpublished manuscript
(1996)
59
M Morse , The
calculus of variations in the large , 18, Amer. Math. Soc.
(1932)
60
D Murfet , Derived
categories, I , preprint (2006)
61
L I Nicolaescu ,
An
invitation to Morse theory , Springer (2007) MR2298610
62
P Ozsváth , Z
Szabó , Holomorphic
disks and topological invariants for closed
three-manifolds , Ann. of Math. 159 (2004) 1027 MR2113019
63
J Pardon , An algebraic approach
to virtual fundamental cycles on moduli spaces of
pseudo-holomorphic curves , Geom. Topol. 20 (2016) 779
MR3493097
64
J Pardon , Contact homology and virtual
fundamental cycles , J. Amer. Math. Soc. 32 (2019) 825
MR3981989
65
L Qin , On moduli spaces
and CW structures arising from Morse theory on Hilbert
manifolds , J. Topol. Anal. 2 (2010) 469 MR2748215
66
J Robbin , D
Salamon , The Maslov index
for paths , Topology 32 (1993) 827 MR1241874
67
Y Ruan , G Tian ,
A
mathematical theory of quantum cohomology , J.
Differential Geom. 42 (1995) 259 MR1366548
68
F Schmäschke , Floer
homology of Lagrangians in clean intersection , preprint
(2016) arXiv:1606.05327
69
M Schwarz , Morse
homology , 111, Birkhäuser (1993) MR1239174
70
P Seidel ,
A biased view of symplectic cohomology , from: "Current
developments in mathematics" (editors B Mazur, T Mrowka, W
Schmid, R Stanley, S T Yau), International (2008) 211
MR2459307
71
P Seidel , Fukaya categories and
Picard–Lefschetz theory , Eur. Math. Soc. (2008)
MR2441780
72
E G Sklyarenko ,
The Thom isomorphism
for nonorientable bundles , Fundam. Prikl. Mat. 9 (2003)
55 MR2093413
73
K Wehrheim ,
Fredholm notions in scale calculus and Hamiltonian Floer
theory , (2012) arXiv:1209.4040
74
K Wehrheim ,
Smooth
structures on Morse trajectory spaces, featuring finite ends
and associative gluing , from: "Proceedings of the
Freedman Fest" (editors R Kirby, V Krushkal, Z Wang), Geom.
Topol. Monogr. 18, Geom. Topol. Publ. (2012) 369 MR3084244
75
C A Weibel ,
An
introduction to homological algebra , 38, Cambridge
Univ. Press (1994) MR1269324
76
E Witten , Supersymmetry
and Morse theory , J. Differential Geom. 17 (1982) 661
MR0683171
77
Z Zhou , Equivariant
fundamental class and localization theorem , in
preparation
78
Z Zhou , Quotient theorems in
polyfold theory and S 1 –equivariant transversality ,
Proc. Lond. Math. Soc. 121 (2020) 1337 MR4133710
79
Z Zhou , On the cohomology
ring of symplectic fillings , Algebr. Geom. Topol. 23
(2023) 1693 MR4602411
80
A Zinger , The determinant
line bundle for Fredholm operators : construction, properties,
and classification , Math. Scand. 118 (2016) 203
MR3515189