Recent Issues
Volume 30, 3 issues
Volume 30
Issue 3, 835–1201
Issue 2, 389–833
Issue 1, 1–388
Volume 29, 9 issues
Volume 29
Issue 9, 4477–4945
Issue 8, 3921–4476
Issue 7, 3345–3919
Issue 6, 2783–3343
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548
Volume 28, 9 issues
Volume 28
Issue 9, 3973–4381
Issue 8, 3511–3972
Issue 7, 3001–3510
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496
Volume 27, 9 issues
Volume 27
Issue 9, 3387–3831
Issue 8, 2937–3385
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415
Volume 26, 8 issues
Volume 26
Issue 8, 3307–3833
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
V I Arnol’d ,
Mathematical
methods of classical mechanics , 60, Springer (1989)
MR1345386
2
P S Aspinwall ,
T Bridgeland , A Craw , M R Douglas ,
M Gross , A Kapustin , G W Moore , G
Segal , B Szendrői , P M H Wilson ,
Dirichlet branes and mirror symmetry , 4, Amer. Math.
Soc. (2009) MR2567952
3
D Auroux , Mirror
symmetry and T -duality in the
complement of an anticanonical divisor , J. Gökova Geom.
Topol. GGT 1 (2007) 51 MR2386535
4
D Auroux , V
Muñoz , F Presas , Lagrangian
submanifolds and Lefschetz pencils , J. Symplectic Geom.
3 (2005) 171 MR2199539
5
D Auroux , L
Katzarkov , D Orlov , Mirror symmetry for
del Pezzo surfaces : vanishing cycles and coherent
sheaves , Invent. Math. 166 (2006) 537 MR2257391
6
W P Barth , K
Hulek , C A M Peters , A Van de Ven ,
Compact
complex surfaces , 4, Springer (2004) MR2030225
7
J Blanc , Symplectic
birational transformations of the plane , Osaka J. Math.
50 (2013) 573 MR3080816
8
T Bridgeland ,
Fourier–Mukai
transforms for elliptic surfaces , J. Reine Angew. Math.
498 (1998) 115 MR1629929
9
T Bridgeland , D
Stern , Helices on del
Pezzo surfaces and tilting Calabi–Yau algebras , Adv.
Math. 224 (2010) 1672 MR2646308
10
S Cantat , F
Loray , Dynamics on character
varieties and Malgrange irreducibility of Painlevé VI
equation , Ann. Inst. Fourier (Grenoble) 59 (2009) 2927
MR2649343
11
R Casals , Lagrangian skeleta
and plane curve singularities , J. Fixed Point Theory
Appl. 24 (2022) 34 MR4405603
12
R Casals , E
Murphy , Legendrian fronts
for affine varieties , Duke Math. J. 168 (2019) 225
MR3909897
13
R Casals , E
Zaslow , Legendrian weaves :
N -graph calculus, flag moduli and
applications , Geom. Topol. 26 (2022) 3589 MR4562568
14
K Chan , K Ueda ,
Dual
torus fibrations and homological mirror symmetry for
A n -singlarities , Commun. Number
Theory Phys. 7 (2013) 361 MR3164868
15
B Chantraine , G
Dimitroglou Rizell , P Ghiggini , R Golovko ,
Geometric
generation of the wrapped Fukaya category of Weinstein
manifolds and sectors , Ann. Sci. Éc. Norm. Supér. 57
(2024) 1 MR4732675
16
M W M
Cheung , R Vianna , Algebraic and
symplectic viewpoint on compactifications of two-dimensional
cluster varieties of finite type , from: "2019–20 MATRIX
annals" (editors D R Wood, J de Gier, C E Praeger, T
Tao), MATRIX Book Ser. 4, Springer (2021) 567 MR4294794
17
T C Collins , A
Jacob , Y S Lin , The SYZ mirror symmetry
conjecture for del Pezzo surfaces and rational elliptic
surfaces , preprint (2020) arXiv:2012.05416
18
T C Collins , A
Jacob , Y S Lin , Special Lagrangian
submanifolds of log Calabi–Yau manifolds , Duke Math. J.
170 (2021) 1291 MR4255060
19
A Corti , A S
Kaloghiros , The Sarkisov program for
Mori fibred Calabi–Yau pairs , Algebr. Geom. 3 (2016)
370 MR3504536
20
A Corti , M
Filip , A Petracci , Mirror symmetry and
smoothing Gorenstein toric affine 3-folds , from:
"Facets of algebraic geometry, I" (editors P Aluffi, D
Anderson, M Hering, M Mustaţă, S Payne), London Math. Soc.
Lecture Note Ser. 472, Cambridge Univ. Press (2022) 132
MR4381899
21
J J Duistermaat ,
On global
action-angle coordinates , Comm. Pure Appl. Math. 33
(1980) 687 MR596430
22
T Ekholm , K
Honda , T Kálmán , Legendrian knots and exact
Lagrangian cobordisms , J. Eur. Math. Soc. 18 (2016)
2627 MR3562353
23
P Engel , Looijenga’s conjecture
via integral-affine geometry , J. Differential Geom. 109
(2018) 467 MR3825608
24
P Engel , R
Friedman , Smoothings and
rational double point adjacencies for cusp
singularities , J. Differential Geom. 118 (2021) 23
MR4255071
25
J D Evans ,
Symplectic mapping
class groups of some Stein and rational surfaces , J.
Symplectic Geom. 9 (2011) 45 MR2787361
26
V V Fock ,
A B Goncharov , Cluster
ensembles, quantization and the dilogarithm, II : The
intertwiner , from: "Algebra, arithmetic, and geometry :
in honor of Yu. I. Manin, I" (editors Y Tschinkel, Y Zarhin),
Progr. Math. 269, Birkhäuser (2009) 655 MR2641183
27
R Friedman ,
On the
ample cone of a rational surface with an anticanonical
cycle , Algebra Number Theory 7 (2013) 1481 MR3107570
28
R Friedman , On the
geometry of anticanonical pairs , preprint (2015) arXiv:1502.02560
29
S Ganatra , J
Pardon , V Shende , Covariantly
functorial wrapped Floer theory on Liouville sectors ,
Publ. Math. Inst. Hautes Études Sci. 131 (2020) 73 MR4106794
30
S Ganatra , J
Pardon , V Shende , Sectorial descent for
wrapped Fukaya categories , J. Amer. Math. Soc. 37
(2024) 499 MR4695507
31
H Gao , L Shen ,
D Weng , Augmentations,
fillings, and clusters , Geom. Funct. Anal. 34 (2024)
798 MR4743511
32
M Gromov , Pseudo holomorphic curves
in symplectic manifolds , Invent. Math. 82 (1985) 307
MR809718
33
M Gross , Special
Lagrangian fibrations, I : Topology , from: "Integrable
systems and algebraic geometry" (editors M H Saito, Y
Shimizu, K Ueno), World Sci. (1998) 156 MR1672120
34
M Gross , P
Hacking , S Keel , Mirror symmetry for
log Calabi–Yau surfaces, I , Publ. Math. Inst. Hautes
Études Sci. 122 (2015) 65 MR3415066
35
M Gross , P
Hacking , S Keel , Moduli of surfaces
with an anti-canonical cycle , Compos. Math. 151 (2015)
265 MR3314827
36
M Gross , P
Hacking , S Keel , M Kontsevich , Canonical bases for cluster
algebras , J. Amer. Math. Soc. 31 (2018) 497 MR3758151
37
P Hacking , A
Keating , Homological mirror
symmetry for log Calabi–Yau surfaces , Geom. Topol. 26
(2022) 3747 MR4562569
38
A Hanlon , Monodromy of
monomially admissible Fukaya–Seidel categories mirror to toric
varieties , Adv. Math. 350 (2019) 662 MR3948684
39
A Hanlon , J
Hicks , Aspects of
functoriality in homological mirror symmetry for toric
varieties , Adv. Math. 401 (2022) 108317 MR4394684
40
A Hanlon , A
Ward , Tropical Lagrangian sections and Looijenga
pairs , in preparation
41
R Hartshorne ,
Algebraic
geometry , 52, Springer (1977) MR463157
42
J Hicks , Tropical
Lagrangians in toric del Pezzo surfaces , Selecta
Math. 27 (2021) 3 MR4198528
43
D Huybrechts ,
Fourier–Mukai
transforms in algebraic geometry , Oxford Univ. Press
(2006) MR2244106
44
D Huybrechts ,
Lectures
on K3 surfaces , 158,
Cambridge Univ. Press (2016) MR3586372
45
A Ishii , H
Uehara , Autoequivalences
of derived categories on the minimal resolutions of
A n -singularities on surfaces , J.
Differential Geom. 71 (2005) 385 MR2198807
46
A Keating , Lagrangian tori in
four-dimensional Milnor fibres , Geom. Funct. Anal. 25
(2015) 1822 MR3432159
47
A Keating , Homological mirror
symmetry for hypersurface cusp singularities , Selecta
Math. 24 (2018) 1411 MR3782425
48
A Keating , Families of
monotone Lagrangians in Brieskorn–Pham hypersurfaces ,
Math. Ann. 380 (2021) 975 MR4297180
49
A Keating , A
Ward , A universal mirror to ( ℙ 2 , Ω)
as a birational object , preprint (2024) arXiv:2408.03764
50
J Kollár , K E
Smith , A Corti , Rational and nearly
rational varieties , 92, Cambridge Univ. Press (2004)
MR2062787
51
M Kontsevich ,
Lectures at ENS Paris , set of notes taken by
J. Bellaiche, J.-F. Dat, I. Marin,
G. Racinet and H. Randriambololona (1998)
52
F Lalonde , M
Pinsonnault , The topology of
the space of symplectic balls in rational 4-manifolds ,
Duke Math. J. 122 (2004) 347 MR2053755
53
Y Lekili , A
Polishchuk , Arithmetic mirror
symmetry for genus 1 curves with n
marked points , Selecta Math. 23 (2017) 1851 MR3663596
54
J Li , A cone conjecture
for log Calabi–Yau surfaces , PhD thesis, University of
Massachussetts, Amherst (2021)
55
E Looijenga ,
Rational surfaces
with an anticanonical cycle , Ann. of Math. 114 (1981)
267 MR632841
56
C Y Mak , W
Wu , Dehn twist exact
sequences through Lagrangian cobordism , Compos. Math.
154 (2018) 2485 MR3873526
57
C T McMullen ,
Dynamics
on blowups of the projective plane , Publ. Math. Inst.
Hautes Études Sci. 105 (2007) 49 MR2354205
58
Y Pan , Exact Lagrangian
fillings of Legendrian (2 ,n ) torus links , Pacific J. Math. 289
(2017) 417 MR3667178
59
J Pascaleff , D
Tonkonog , The wall-crossing
formula and Lagrangian mutations , Adv. Math. 361 (2020)
106850, 67 MR4043009
60
T Perutz , A
symplectic Gysin sequence , preprint (2008) arXiv:0807.1863
61
P Seidel , Lagrangian
two-spheres can be symplectically knotted , J.
Differential Geom. 52 (1999) 145 MR1743463
62
P Seidel , Graded Lagrangian
submanifolds , Bull. Soc. Math. France 128 (2000) 103
MR1765826
63
P Seidel , More about
vanishing cycles and mutation , from: "Symplectic
geometry and mirror symmetry" (editors K Fukaya, Y G Oh, K
Ono, G Tian), World Sci. (2001) 429 MR1882336
64
P Seidel , A long exact
sequence for symplectic Floer cohomology , Topology 42
(2003) 1003 MR1978046
65
P Seidel , Fukaya categories and
Picard–Lefschetz theory , Eur. Math. Soc. (2008)
MR2441780
66
P Seidel , Lecture
notes on Categorical Dynamics and Symplectic Topology ,
lecture notes (2013)
67
P Seidel , Fukaya
A ∞ -structures associated to Lefschetz
fibrations, II , from: "Algebra, geometry, and physics
in the 21st century" (editors D Auroux, L Katzarkov, T Pantev,
Y Soibelman, Y Tschinkel), Progr. Math. 324, Springer (2017)
295 MR3727564
68
P Seidel , R
Thomas , Braid group
actions on derived categories of coherent sheaves , Duke
Math. J. 108 (2001) 37 MR1831820
69
V Shende , D
Treumann , H Williams , On the combinatorics of
exact Lagrangian surfaces , preprint (2016) arXiv:1603.07449
70
V Shende , D
Treumann , H Williams , E Zaslow , Cluster varieties
from Legendrian knots , Duke Math. J. 168 (2019) 2801
MR4017516
71
N Sheridan , I
Smith , Symplectic topology of
K 3
surfaces via mirror symmetry , J. Amer. Math. Soc. 33
(2020) 875 MR4127905
72
T Shioda , On the
Mordell–Weil lattices , Comment. Math. Univ. St. Paul. 39
(1990) 211 MR1081832
73
A Simonetti ,
Equivariant
smoothings of cusp singularities , PhD thesis,
University of Massachussetts, Amherst (2021)
74
A Subotic , A monoidal
structure for the Fukaya category , PhD thesis, Harvard
University (2010) MR2941437
75
Z Sylvan , On partially wrapped
Fukaya categories , J. Topol. 12 (2019) 372 MR3911570
76
M Symington ,
Four
dimensions from two in symplectic topology , from:
"Topology and geometry of manifolds" (editors G Matić, C
McCrory), Proc. Sympos. Pure Math. 71, Amer. Math. Soc. (2003)
153 MR2024634
77
G Tian , S T
Yau , Complete
Kähler manifolds with zero Ricci curvature, I , J. Amer.
Math. Soc. 3 (1990) 579 MR1040196
78
B C Torricelli ,
Model projective twists and generalised lantern
relations , preprint (2020) arXiv:2008.02758
79
D Treumann , E
Zaslow , Cubic planar
graphs and Legendrian surface theory , Adv. Theor. Math.
Phys. 22 (2018) 1289 MR3952351
80
H Uehara , Autoequivalences of
derived categories of elliptic surfaces with non-zero Kodaira
dimension , Algebr. Geom. 3 (2016) 543 MR3568337
81
H Uehara , A trichotomy for the
autoequivalence groups on smooth projective surfaces ,
Trans. Amer. Math. Soc. 371 (2019) 3529 MR3896121
82
R Vianna , On exotic Lagrangian
tori in ℂℙ 2 , Geom. Topol. 18 (2014) 2419
MR3268780
83
R Vianna , Infinitely many
monotone Lagrangian tori in del Pezzo surfaces ,
Selecta Math. 23 (2017) 1955 MR3663599
84
K Wehrheim ,
C T Woodward , Exact triangle for
fibered Dehn twists , Res. Math. Sci. 3 (2016) 17
MR3536436