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
L V Ahlfors , L
Sario , Riemann
surfaces , 26, Princeton Univ. Press (1960) MR0114911
2
A Alexandrov , A
Buryak , R J Tessler , Refined open
intersection numbers and the Kontsevich–Penner matrix
model , J. High Energy Phys. 2017 (2017) 123 MR3650694
3
A Basalaev , A
Buryak , Open WDVV
equations and Virasoro constraints , Arnold Math. J. 5
(2019) 145 MR4031355
4
A Buryak , Equivalence of the
open KdV and the open Virasoro equations for the moduli space
of Riemann surfaces with boundary , Lett. Math. Phys.
105 (2015) 1427 MR3395226
5
A Buryak , E
Clader , R J Tessler , Open r –spin theory, II : The analogue of Witten’s
conjecture for r –spin disks ,
(2018) arXiv:1809.02536
6
A Buryak , E
Clader , R J Tessler , Open r –spin theory, I : Foundations , Int.
Math. Res. Not. 2022 (2022) 10458 MR4458550
7
A Buryak , R J
Tessler , Matrix models and a
proof of the open analog of Witten’s conjecture , Comm.
Math. Phys. 353 (2017) 1299 MR3652492
8
A Buryak , A N
Zernik , R Pandharipande , R J Tessler ,
Open
ℂℙ 1 descendent theory, I : The stationary
sector , Adv. Math. 401 (2022) 108249 MR4387849
9
X Chen , Steenrod
pseudocycles, lifted cobordisms, and Solomon’s relations for
Welschinger invariants , Geom. Funct. Anal. 32 (2022)
490 MR4431122
10
X Chen , A
Zinger , WDVV-type
relations for disk Gromov–Witten invariants in dimension
6 , Math. Ann. 379 (2021)
1231 MR4238264
11
C H Cho ,
Counting real
J –holomorphic discs and spheres in
dimension four and six , J. Korean Math. Soc. 45 (2008)
1427 MR2439744
12
K Cieliebak , I
Mundet i Riera , D A Salamon , Equivariant
moduli problems, branched manifolds, and the Euler
class , Topology 42 (2003) 641 MR1953244
13
P Deligne , D
Mumford , The irreducibility of the
space of curves of given genus , Inst. Hautes Études
Sci. Publ. Math. 36 (1969) 75 MR0262240
14
R Dijkgraaf , E
Witten , Developments in
topological gravity , Int. J. Modern Phys. A 33 (2018)
1830029 MR3875934
15
Y Eliashberg ,
Symplectic field theory and its applications , from:
"International Congress of Mathematicians, I" (editors M
Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math.
Soc. (2007) 217 MR2334192
16
Y Eliashberg , A
Givental , H Hofer , Introduction to
symplectic field theory , Geom. Funct. Anal. GAFA 2000
special volume (2000) 560 MR1826267
17
O Fabert , Gravitational
descendants in symplectic field theory , Comm. Math.
Phys. 302 (2011) 113 MR2770011
18
O Fabert , P
Rossi , String, dilaton, and
divisor equation in symplectic field theory , Int. Math.
Res. Not. 2011 (2011) 4384 MR2838044
19
O Fabert , P
Rossi , Topological
recursion relations in non-equivariant cylindrical contact
homology , J. Symplectic Geom. 11 (2013) 405 MR3100800
20
K Fukaya , Y G
Oh , H Ohta , K Ono , Lagrangian intersection
Floer theory : anomaly and obstruction, I , 46.1, Amer.
Math. Soc. (2009) MR2553465
21
K Fukaya , Y G
Oh , H Ohta , K Ono , Lagrangian intersection
Floer theory : anomaly and obstruction, II , 46.2, Amer.
Math. Soc. (2009) MR2548482
22
P Georgieva ,
Open
Gromov–Witten disk invariants in the presence of an
anti-symplectic involution , Adv. Math. 301 (2016) 116
MR3539371
23
E Getzler , R
Pandharipande , Virasoro
constraints and the Chern classes of the Hodge bundle ,
Nuclear Phys. B 530 (1998) 701 MR1653492
24
P Giterman ,
J P Solomon , Descendent open Gromov–Witten
invariants , in preparation
25
J Harris , I
Morrison , Moduli of curves , 187,
Springer (1998) MR1631825
26
M W Hirsch ,
Differential
topology , 33, Springer (1976) MR448362
27
H Hofer , J P
Solomon , Inductive extension of multisections , in
preparation
28
H Hofer , K
Wysocki , E Zehnder , Polyfold and
Fredholm theory , 72, Springer (2021) MR4298268
29
A Horev , J P
Solomon , The open Gromov–Witten–Welschinger theory of
blowups of the projective plane , preprint (2012) arXiv:1210.4034
30
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
31
M Kontsevich ,
Intersection
theory on the moduli space of curves and the matrix Airy
function , Comm. Math. Phys. 147 (1992) 1 MR1171758
32
C C M Liu ,
Moduli
of J –holomorphic curves with
Lagrangian boundary conditions and open Gromov–Witten
invariants for an S 1 –equivariant pair , J. Iran. Math.
Soc. 1 (2020) 5 MR4528678
33
M Mirzakhani ,
Weil–Petersson
volumes and intersection theory on the moduli space of
curves , J. Amer. Math. Soc. 20 (2007) 1 MR2257394
34
A Okounkov , R
Pandharipande , Gromov–Witten
theory, Hurwitz numbers, and matrix models , from:
"Algebraic geometry, I" (editors D Abramovich, A Bertram, L
Katzarkov, R Pandharipande, M Thaddeus), Proc. Sympos. Pure
Math. 80, Amer. Math. Soc. (2009) 325 MR2483941
35
B Riemann , Theorie der
Abel’schen Functionen , J. Reine Angew. Math. 54 (1857)
115 MR1579035
36
P Seidel , Fukaya categories and
Picard–Lefschetz theory , Eur. Math. Soc. (2008)
MR2441780
37
J P Solomon ,
Intersection theory on the moduli space of holomorphic
curves with Lagrangian boundary conditions , PhD thesis,
Massachusetts Institute of Technology (2006) arXiv:math.SG/0606429
MR2717339
38
J P Solomon , A
differential equation for the open Gromov–Witten potential ,
preprint (2007)
39
J P Solomon ,
R J Tessler , Intersection theory on the moduli
space of graded Riemann surfaces with boundary , in
preparation
40
J P Solomon ,
S B Tukachinsky , Point-like
bounding chains in open Gromov–Witten theory , Geom.
Funct. Anal. 31 (2021) 1245 MR4356703
41
J P Solomon ,
S B Tukachinsky , Relative quantum
cohomology , J. Eur. Math. Soc. (JEMS) 26 (2024) 3497
MR4767498
42
R J Tessler ,
The
combinatorial formula for open gravitational
descendents , Geom. Topol. 27 (2023) 2497 MR4645483
43
J Y Welschinger ,
Invariants of real
symplectic 4 –manifolds and lower
bounds in real enumerative geometry , Invent. Math. 162
(2005) 195 MR2198329
44
E Witten , Topological sigma
models , Comm. Math. Phys. 118 (1988) 411 MR0958805
45
E Witten , Two-dimensional
gravity and intersection theory on moduli space , from:
"Surveys in differential geometry" (editors H B Lawson
Jr., S T Yau), Lehigh Univ. (1991) 243 MR1144529
46
E Witten ,
Algebraic geometry associated with matrix models of
two-dimensional gravity , from: "Topological methods in
modern mathematics" (editors L R Goldberg, A V
Phillips), Publish or Perish (1993) 235 MR1215968
47
A N Zernik ,
Equivariant open Gromov–Witten theory of ℝℙ 2 m ↪ ℂℙ 2 m ,
preprint (2017) arXiv:1709.09483
48
A N Zernik ,
Fixed-point localization for ℝℙ 2 m
⊂ ℂℙ 2 m ,
preprint (2017) arXiv:1703.02950
49
A N Zernik ,
Moduli of open stable maps to a homogeneous space ,
preprint (2017) arXiv:1709.07402