Recent Issues
Volume 27, 7 issues
Volume 27
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
L Allermann , J
Rau , First steps in
tropical intersection theory , Math. Z. 264 (2010) 633
MR2591823
2
O Amini , M
Piquerez , Hodge theory for tropical varieties ,
preprint (2020) arXiv:2007.07826
3
V I Arnold ,
Mathematical
methods of classical mechanics , 60, Springer (1978)
MR0690288
4
G E Bredon ,
Topology
and geometry , 139, Springer (1993) MR1224675
5
G E Bredon ,
Sheaf
theory , 170, Springer (1997) MR1481706
6
R Castaño-Bernard ,
D Matessi , Lagrangian
3 –torus fibrations , J.
Differential Geom. 81 (2009) 483 MR2487600
7
R Castaño-Bernard ,
D Matessi , Conifold transitions
via affine geometry and mirror symmetry , Geom. Topol.
18 (2014) 1769 MR3228462
8
J M Curry ,
Sheaves, cosheaves and applications , PhD thesis,
University of Pennsylvania (2013) arXiv:1303.3255
9
V I Danilov ,
The geometry of
toric varieties , Uspekhi Mat. Nauk 33 (1978) 85
MR495499
10
J F Davis , P
Kirk , Lecture
notes in algebraic topology , 35, Amer. Math. Soc.
(2001) MR1841974
11
J J Duistermaat ,
On global
action-angle coordinates , Comm. Pure Appl. Math. 33
(1980) 687 MR596430
12
S Felten , M
Filip , H Ruddat , Smoothing toroidal
crossing spaces , Forum Math. Pi 9 (2021) MR4304077
13
W Goldman , M W
Hirsch , The
radiance obstruction and parallel forms on affine
manifolds , Trans. Amer. Math. Soc. 286 (1984) 629
MR760977
14
A Gross , F
Shokrieh , A sheaf-theoretic approach to tropical
homology , preprint (2019) arXiv:1906.09245
15
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
16
M Gross , Topological mirror
symmetry , Invent. Math. 144 (2001) 75 MR1821145
17
M Gross , Toric degenerations
and Batyrev–Borisov duality , Math. Ann. 333 (2005) 645
MR2198802
18
M Gross , P
Hacking , B Siebert , Theta functions on varieties
with effective anti-canonical class , preprint (2016)
arXiv:1601.07081
19
M Gross , B
Siebert , Mirror symmetry via
logarithmic degeneration data, I , J. Differential Geom.
72 (2006) 169 MR2213573
20
M Gross , B
Siebert , Mirror
symmetry via logarithmic degeneration data, II , J.
Algebraic Geom. 19 (2010) 679 MR2669728
21
M Gross , B
Siebert , From real affine
geometry to complex geometry , Ann. of Math. 174 (2011)
1301 MR2846484
22
A Hatcher , Algebraic
topology , Cambridge Univ. Press (2002) MR1867354
23
I Itenberg , L
Katzarkov , G Mikhalkin , I Zharkov ,
Tropical
homology , Math. Ann. 374 (2019) 963 MR3961331
24
P Jell , J Rau ,
K Shaw , Lefschetz (1 , 1) –theorem in tropical geometry ,
Épijournal Géom. Algébrique 2 (2018) MR3894860
25
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
26
N C Leung , M
Symington , Almost toric
symplectic four-manifolds , J. Symplectic Geom. 8 (2010)
143 MR2670163
27
C Y Mak , H
Ruddat , Tropically constructed
Lagrangians in mirror quintic threefolds , Forum Math.
Sigma 8 (2020) MR4179650
28
D Matessi , H
Ruddat , Deformations of tropical polarized K 3 surfaces ,
in preparation
29
G Mikhalkin , I
Zharkov , Tropical
eigenwave and intermediate Jacobians , from:
"Homological mirror symmetry and tropical geometry" (editors R
Castaño-Bernard, F Catanese, M Kontsevich, T Pantev, Y
Soibelman, I Zharkov), Lect. Notes Unione Mat. Ital. 15,
Springer (2014) 309 MR3330789
30
B Moishezon ,
Complex
surfaces and connected sums of complex projective
planes , 603, Springer (1977) MR0491730
31
J Nicaise , D P
Overholser , H Ruddat , Motivic zeta
functions of the quartic and its mirror dual , from:
"String-math 2014" (editors V Bouchard, C Doran, S Méndez-Diez,
C Quigley), Proc. Sympos. Pure Math. 93, Amer. Math. Soc.
(2016) 189 MR3525990
32
T Prince ,
Lagrangian torus fibration models of Fano threefolds ,
preprint (2018) arXiv:1801.02997
33
T Prince , Smoothing
Calabi–Yau toric hypersurfaces using the Gross–Siebert
algorithm , Compos. Math. 157 (2021) 1441 MR4275464
34
H Ruddat , Log Hodge groups on a
toric Calabi–Yau degeneration , from: "Mirror symmetry
and tropical geometry" (editors R Castaño-Bernard, Y Soibelman,
I Zharkov), Contemp. Math. 527, Amer. Math. Soc. (2010) 113
MR2681794
35
H Ruddat , B
Siebert , Conifold transitions via toric
degenerations , in preparation
36
H Ruddat , B
Siebert , Period integrals
from wall structures via tropical cycles, canonical coordinates
in mirror symmetry and analyticity of toric
degenerations , Publ. Math. Inst. Hautes Études Sci. 132
(2020) 1 MR4179831
37
H Ruddat , I
Zharkov , Topological Strominger–Yau–Zaslow
fibrations , in preparation
38
H Ruddat , I
Zharkov , Compactifying
torus fibrations over integral affine manifolds with
singularities , from: "2019–20 MATRIX annals" (editors
D R Wood, J de Gier, C E Praeger, T Tao), MATRIX Book
Ser. 4, Springer (2021) 609 MR4294796
39
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
40
C Thier , On the monodromy of
4 –dimensional Lagrangian
fibrations , PhD thesis, Albert–Ludwigs-Universität
Freiburg (2008)
41
J Williamson ,
On the algebraic
problem concerning the normal forms of linear dynamical
systems , Amer. J. Math. 58 (1936) 141 MR1507138
42
Y Yamamoto , Periods
of tropical Calabi–Yau hypersurfaces , preprint (2018)
arXiv:1806.04239