Recent Issues
Volume 29, 2 issues
Volume 29
Issue 2, 549–862
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
D Abramovich , Q
Chen , Stable logarithmic
maps to Deligne–Faltings pairs, II , Asian J. Math. 18
(2014) 465 MR3257836
2
D Abramovich , Q
Chen , M Gross , B Siebert , Decomposition of
degenerate Gromov–Witten invariants , Compos. Math. 156
(2020) 2020 MR4177284
3
D Abramovich , Q
Chen , M Gross , B Siebert , Punctured
logarithmic maps , preprint (2020) arXiv:2009.07720
4
D Abramovich , Q
Chen , S Marcus , M Ulirsch , J Wise ,
Skeletons and
fans of logarithmic structures , from: "Nonarchimedean
and tropical geometry" (editors M Baker, S Payne), Springer
(2016) 287 MR3702314
5
D Abramovich , Q
Chen , S Marcus , J Wise , Boundedness of the space of
stable logarithmic maps , J. Eur. Math. Soc. 19 (2017)
2783 MR3692887
6
H Argüz , Equations
of mirrors to log Calabi–Yau pairs via the heart of canonical
wall structures , preprint (2021) arXiv:2109.08664
7
H Argüz , P
Bousseau , The flow tree formula for Donaldson–Thomas
invariants of quivers with potentials , preprint (2021)
arXiv:2102.11200
8
H Argüz , T
Prince , Real Lagrangians in
Calabi–Yau threefolds , Proc. Lond. Math. Soc. 121
(2020) 287 MR4093957
9
P Bousseau ,
The
quantum tropical vertex , Geom. Topol. 24 (2020) 1297
MR4157555
10
M W Cheung , T
Mandel , Donaldson–Thomas
invariants from tropical disks , Selecta Math. 26 (2020)
MR4131036
11
R Donagi , S
Katz , M Wijnholt , Weak coupling,
degeneration and log Calabi–Yau spaces , Pure Appl.
Math. Q. 9 (2013) 655 MR3263972
12
K Fukaya , Multivalued Morse
theory, asymptotic analysis and mirror symmetry , from:
"Graphs and patterns in mathematics and theoretical physics"
(editors M Lyubich, L Takhtajan), Proc. Sympos. Pure Math. 73,
Amer. Math. Soc. (2005) 205 MR2131017
13
W M Goldman ,
Geometric
structures on manifolds , preprint (2021)
14
W Goldman , M W
Hirsch , The
radiance obstruction and parallel forms on affine
manifolds , Trans. Amer. Math. Soc. 286 (1984) 629
MR760977
15
M Gross , P
Hacking , S Keel , Mirror symmetry for
log Calabi–Yau surfaces, I , Publ. Math. Inst. Hautes
Études Sci. 122 (2015) 65 MR3415066
16
M Gross , P
Hacking , S Keel , M Kontsevich , Canonical bases for cluster
algebras , J. Amer. Math. Soc. 31 (2018) 497 MR3758151
17
M Gross , P
Hacking , B Siebert , Theta functions on
varieties with effective anti-canonical class , 1367,
Amer. Math. Soc. (2022) MR4426709
18
M Gross , R
Pandharipande , B Siebert , The tropical
vertex , Duke Math. J. 153 (2010) 297 MR2667135
19
M Gross , B
Siebert , From real affine
geometry to complex geometry , Ann. of Math. 174 (2011)
1301 MR2846484
20
M Gross , B
Siebert , Logarithmic
Gromov–Witten invariants , J. Amer. Math. Soc. 26 (2013)
451 MR3011419
21
M Gross , B
Siebert ,
Local mirror symmetry in the tropics , from:
"Proceedings of the International Congress of Mathematicians,
II" (editors S Y Jang, Y R Kim, D W Lee, I Ye),
Kyung Moon Sa (2014) 723 MR3728635
22
M Gross , B
Siebert , Intrinsic mirror
symmetry and punctured Gromov–Witten invariants , from:
"Algebraic geometry" (editors T de Fernex, B Hassett, M
Mustaţă, M Olsson, M Popa, R Thomas), Proc. Sympos. Pure Math.
97, Amer. Math. Soc. (2018) 199 MR3821173
23
M Gross , B
Siebert , Intrinsic mirror symmetry , preprint (2019)
arXiv:1909.07649
24
M Gross , B
Siebert , The canonical wall
structure and intrinsic mirror symmetry , Invent. Math.
229 (2022) 1101 MR4462625
25
E N Ionel ,
T H Parker , Relative
Gromov–Witten invariants , Ann. of Math. 157 (2003) 45
MR1954264
26
S Keel , T Y
Yu , The Frobenius structure theorem for affine log
Calabi–Yau varieties containing a torus , preprint (2019)
arXiv:1908.09861
27
J Kollár , C Xu ,
The dual
complex of Calabi–Yau pairs , Invent. Math. 205 (2016)
527 MR3539921
28
M Kontsevich , Y
Soibelman , Affine structures
and non-archimedean analytic spaces , from: "The unity
of mathematics" (editors P Etingof, V Retakh, I M Singer),
Progr. Math. 244, Birkhäuser (2006) 321 MR2181810
29
A M Li , Y
Ruan , Symplectic surgery and
Gromov–Witten invariants of Calabi–Yau 3 –folds , Invent. Math. 145 (2001) 151
MR1839289
30
J Li , Stable
morphisms to singular schemes and relative stable
morphisms , J. Differential Geom. 57 (2001) 509 MR1882667
31
T Mandel , Scattering diagrams, theta
functions, and refined tropical curve counts , J. Lond.
Math. Soc. 104 (2021) 2299
32
T Mandel , Theta bases and log
Gromov–Witten invariants of cluster varieties , Trans.
Amer. Math. Soc. 374 (2021) 5433 MR4293777
33
C Manolache ,
Virtual
pull-backs , J. Algebraic Geom. 21 (2012) 201 MR2877433
34
J Nicaise , C
Xu , T Y Yu , The non-archimedean
SYZ fibration , Compos. Math. 155 (2019) 953 MR3946280
35
T Oda , Convex bodies and algebraic
geometry: an introduction to the theory of toric
varieties , 15, Springer (1988) MR922894
36
A Ogus , Lectures on logarithmic
algebraic geometry , 178, Cambridge Univ. Press (2018)
MR3838359
37
M C Olsson ,
Logarithmic
geometry and algebraic stacks , Ann. Sci. École Norm.
Sup. 36 (2003) 747 MR2032986
38
B Parker , Tropical
enumeration of curves in blowups of the projective plane ,
preprint (2014) arXiv:1411.5722
39
J Pascaleff ,
On the
symplectic cohomology of log Calabi–Yau surfaces , Geom.
Topol. 23 (2019) 2701 MR4039179
40
A Strominger ,
S T Yau , E Zaslow , Mirror symmetry
is T –duality , Nuclear
Phys. B 479 (1996) 243 MR1429831
41
N Takahashi ,
Log mirror
symmetry and local mirror symmetry , Comm. Math. Phys.
220 (2001) 293 MR1844627
42
T Y Yu ,
Enumeration of
holomorphic cylinders in log Calabi–Yau surfaces, I ,
Math. Ann. 366 (2016) 1649 MR3563248