Recent Issues
Volume 29, 1 issue
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
Augmentations are
sheaves
Lenhard Ng, Dan Rutherford, Vivek Shende, Steven Sivek
and Eric Zaslow
Geometry & Topology 24 (2020) 2149–2286
1
F Bourgeois , A
survey of contact 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) 45 MR2555933
2
F Bourgeois , B
Chantraine , Bilinearized
Legendrian contact homology and the augmentation
category , J. Symplectic Geom. 12 (2014) 553 MR3248668
3
F Bourgeois , T
Ekholm , Y Eliashberg , Effect of Legendrian
surgery , Geom. Topol. 16 (2012) 301 MR2916289
4
B Chantraine ,
A
note on exact Lagrangian cobordisms with disconnected
Legendrian ends , Proc. Amer. Math. Soc. 143 (2015) 1325
MR3293745
5
Y Chekanov ,
Differential
algebra of Legendrian links , Invent. Math. 150 (2002)
441 MR1946550
6
W Chongchitmate , L
Ng , An atlas of
Legendrian knots , Exp. Math. 22 (2013) 26 MR3038780
7
G Civan , P
Koprowski , J Etnyre , J M Sabloff , A
Walker , Product structures
for Legendrian contact homology , Math. Proc. Cambridge
Philos. Soc. 150 (2011) 291 MR2770065
8
G Dimitroglou Rizell ,
Lifting
pseudo-holomorphic polygons to the symplectisation of
P ×
ℝ and applications ,
Quantum Topol. 7 (2016) 29 MR3459958
9
V Drinfeld ,
DG
quotients of DG categories , J. Algebra 272 (2004) 643
MR2028075
10
T Ekholm , Rational SFT,
linearized Legendrian contact homology, and Lagrangian Floer
cohomology , from: "Perspectives in analysis, geometry,
and topology" (editors I Itenberg, B Jöricke, M Passare),
Progr. Math. 296, Birkhäuser (2012) 109 MR2884034
11
T Ekholm , J B
Etnyre , L Ng , M G Sullivan , Knot contact
homology , Geom. Topol. 17 (2013) 975 MR3070519
12
T Ekholm , J B
Etnyre , J M Sabloff , A duality exact
sequence for Legendrian contact homology , Duke Math. J.
150 (2009) 1 MR2560107
13
T Ekholm , J
Etnyre , M Sullivan , Non-isotopic
Legendrian submanifolds in ℝ 2 n +1 ,
J. Differential Geom. 71 (2005) 85 MR2191769
14
T Ekholm , J
Etnyre , M Sullivan , Orientations in
Legendrian contact homology and exact Lagrangian
immersions , Int. J. Math. 16 (2005) 453 MR2141318
15
T Ekholm , K
Honda , T Kálmán , Legendrian knots and exact
Lagrangian cobordisms , J. Eur. Math. Soc. 18 (2016)
2627 MR3562353
16
T Ekholm , Y
Lekili , Duality between Lagrangian and Legendrian
invariants , preprint (2017) arXiv:1701.01284
17
T Ekholm , L Ng ,
Legendrian
contact homology in the boundary of a subcritical Weinstein
4 –manifold , J. Differential
Geom. 101 (2015) 67 MR3356070
18
Y Eliashberg ,
Invariants in contact topology , from: "Proceedings of
the International Congress of Mathematicians, II" (editors G
Fischer, U Rehmann), Deutsche Mathematiker Vereinigung (1998)
327 MR1648083
19
Y Eliashberg , A
Givental , H Hofer , Introduction to
symplectic field theory , Geom. Funct. Anal. (2000) 560
MR1826267
20
J B Etnyre ,
L L Ng , J M Sabloff , Invariants of
Legendrian knots and coherent orientations , J.
Symplectic Geom. 1 (2002) 321 MR1959585
21
Y Félix , S
Halperin , J C Thomas , Rational homotopy
theory , 205, Springer (2001) MR1802847
22
P Gabriel , Unzerlegbare
Darstellungen, I , Manuscripta Math. 6 (1972) 71
MR332887
23
E Getzler ,
J D S Jones , A ∞ –algebras and the cyclic bar
complex , Illinois J. Math. 34 (1990) 256 MR1046565
24
S Guillermou ,
Sheaves and symplectic geometry of cotangent bundles ,
preprint (2019) arXiv:1905.07341
25
S Guillermou , M
Kashiwara , P Schapira , Sheaf quantization
of Hamiltonian isotopies and applications to nondisplaceability
problems , Duke Math. J. 161 (2012) 201 MR2876930
26
M B Henry ,
Connections between
Floer-type invariants and Morse-type invariants of Legendrian
knots , Pacific J. Math. 249 (2011) 77 MR2764942
27
M B Henry , D
Rutherford , Equivalence classes
of augmentations and Morse complex sequences of Legendrian
knots , Algebr. Geom. Topol. 15 (2015) 3323 MR3450763
28
X Jin , D
Treumann , Brane structures in microlocal sheaf
theory , preprint (2017) arXiv:1704.04291
29
T V Kadeishvili ,
The category of differential coalgebras and the category of
A ( ∞ ) –algebras , Trudy Tbiliss. Mat. Inst.
Razmadze Akad. Nauk Gruzin. SSR 77 (1985) 50 MR862919
30
T Kálmán , Contact homology and
one parameter families of Legendrian knots , Geom.
Topol. 9 (2005) 2013 MR2209366
31
T Kálmán , Braid-positive
Legendrian links , Int. Math. Res. Not. 2006 (2006)
MR2272097
32
C Karlsson ,
A note on coherent
orientations for exact Lagrangian cobordisms , Quantum
Topol. 11 (2020) 1 MR4071329
33
M Kashiwara ,
The
Riemann–Hilbert problem for holonomic systems , Publ.
Res. Inst. Math. Sci. 20 (1984) 319 MR743382
34
M Kashiwara , P
Schapira , Sheaves on
manifolds , 292, Springer (1990) MR1074006
35
B Keller , Introduction to
A –infinity algebras and
modules , Homology Homotopy Appl. 3 (2001) 1 MR1854636
36
C Leverson ,
Augmentations
and rulings of Legendrian knots , J. Symplectic Geom. 14
(2016) 1089 MR3601885
37
J Lurie , Derived
algebraic geometry, V: Structured spaces , preprint (2009)
arXiv:0905.0459
38
J Lurie , Higher topos
theory , 170, Princeton Univ. Press (2009) MR2522659
39
J Lurie , Rotation
invariance in algebraic K –theory , preprint (2015)
40
J Lurie , Higher algebra , preprint
(2017)
41
P Melvin , S
Shrestha , The nonuniqueness of
Chekanov polynomials of Legendrian knots , Geom. Topol.
9 (2005) 1221 MR2174265
42
K Mishachev ,
The
N –copy of a topologically trivial
Legendrian knot , J. Symplectic Geom. 1 (2003) 659
MR2039159
43
D Nadler , Microlocal branes
are constructible sheaves , Selecta Math. 15 (2009) 563
MR2565051
44
D Nadler , E
Zaslow , Constructible
sheaves and the Fukaya category , J. Amer. Math. Soc. 22
(2009) 233 MR2449059
45
L L Ng ,
Computable
Legendrian invariants , Topology 42 (2003) 55 MR1928645
46
L Ng , Rational symplectic
field theory for Legendrian knots , Invent. Math. 182
(2010) 451 MR2737704
47
L Ng , D
Rutherford , Satellites of
Legendrian knots and representations of the Chekanov–Eliashberg
algebra , Algebr. Geom. Topol. 13 (2013) 3047 MR3116313
48
L Ng , D
Rutherford , V Shende , S Sivek , The cardinality
of the augmentation category of a Legendrian link ,
Math. Res. Lett. 24 (2017) 1845 MR3762698
49
J M Sabloff ,
Augmentations and
rulings of Legendrian knots , Int. Math. Res. Not. 2005
(2005) 1157 MR2147057
50
J M Sabloff ,
Duality
for Legendrian contact homology , Geom. Topol. 10 (2006)
2351 MR2284060
51
P Seidel , Fukaya categories and
Picard–Lefschetz theory , Eur. Math. Soc. (2008)
MR2441780
52
V Shende , D
Treumann , E Zaslow , Legendrian knots
and constructible sheaves , Invent. Math. 207 (2017)
1031 MR3608288
53
A D Shepard ,
A
cellular description of the derived category of a stratified
space , PhD thesis, Brown University (1985)
54
S Sivek , A bordered
Chekanov–Eliashberg algebra , J. Topol. 4 (2011) 73
MR2783378
55
J D Stasheff ,
Homotopy
associativity of H –spaces,
II , Trans. Amer. Math. Soc. 108 (1963) 293 MR0158400
56
G Tabuada , Une structure de
catégorie de modèles de Quillen sur la catégorie des
dg –catégories , C. R. Math.
Acad. Sci. Paris 340 (2005) 15 MR2112034
57
B Toën , The homotopy theory
of dg –categories and derived
Morita theory , Invent. Math. 167 (2007) 615 MR2276263