Recent Issues
Volume 26, 2 issues
Volume 26
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
A Adem , J
Leida , Y Ruan , Orbifolds and
stringy topology , 171, Cambridge Univ. Press (2007)
MR2359514
2
V Apostolov , S
Salamon , Kähler reduction of
metrics with holonomy G 2 , Comm. Math. Phys. 246 (2004) 43
MR2044890
3
C Bär , Real Killing spinors and
holonomy , Comm. Math. Phys. 154 (1993) 509 MR1224089
4
R Bartnik , The mass of an
asymptotically flat manifold , Comm. Pure Appl. Math. 39
(1986) 661 MR849427
5
Y V Bazaikin ,
On new examples of
complete noncompact metrics with Spin (7) holonomy
group , Sibirsk. Mat. Zh. 48 (2007) 11 MR2304875
6
Y V Bazaikin ,
Noncompact Riemann
spaces with the holonomy group Spin (7) and
3 –Sasakian manifolds , Tr.
Mat. Inst. Steklova 263 (2008) 6 MR2599368
7
O Biquard , V
Minerbe , A Kummer
construction for gravitational instantons , Comm. Math.
Phys. 308 (2011) 773 MR2855540
8
J M Bismut ,
The
Atiyah–Singer index theorem for families of Dirac operators :
two heat equation proofs , Invent. Math. 83 (1986) 91
MR813584
9
J E Borzellino ,
Orbifolds of
maximal diameter , Indiana Univ. Math. J. 42 (1993) 37
MR1218706
10
J E Borzellino ,
S H Zhu , The splitting theorem
for orbifolds , Illinois J. Math. 38 (1994) 679 MR1283015
11
C P Boyer , K
Galicki , Sasakian
geometry , Oxford Univ. Press (2008) MR2382957
12
C P Boyer , K
Galicki , B M Mann , The geometry and topology of
3 –Sasakian manifolds , J.
Reine Angew. Math. 455 (1994) 183 MR1293878
13
C P Boyer , K
Galicki , B M Mann , Hypercomplex structures
from 3 –Sasakian structures ,
J. Reine Angew. Math. 501 (1998) 115 MR1637849
14
C P Boyer , K
Galicki , B M Mann , E G Rees ,
Compact
3 –Sasakian 7 –manifolds with arbitrary second Betti
number , Invent. Math. 131 (1998) 321 MR1608567
15
R L Bryant ,
Metrics with
exceptional holonomy , Ann. of Math. 126 (1987) 525
MR916718
16
R L Bryant ,
Some
remarks on G 2 –structures , from: "Proceedings
of Gökova Geometry-Topology Conference 2005" (editors S
Akbulut, T Önder, R J Stern), GGT (2006) 75 MR2282011
17
R L Bryant ,
S M Salamon , On the
construction of some complete metrics with exceptional
holonomy , Duke Math. J. 58 (1989) 829 MR1016448
18
E Calabi , Métriques kählériennes et
fibrés holomorphes , Ann. Sci. École Norm. Sup. 12
(1979) 269 MR543218
19
D M J
Calderbank , M A Singer , Toric self-dual
Einstein metrics on compact orbifolds , Duke Math. J.
133 (2006) 237 MR2225692
20
J Cheeger , T H
Colding , Lower
bounds on Ricci curvature and the almost rigidity of warped
products , Ann. of Math. 144 (1996) 189 MR1405949
21
J Cheeger , G
Tian , On
the cone structure at infinity of Ricci flat manifolds with
Euclidean volume growth and quadratic curvature decay ,
Invent. Math. 118 (1994) 493 MR1296356
22
C van Coevering ,
Ricci-flat Kähler
metrics on crepant resolutions of Kähler cones , Math.
Ann. 347 (2010) 581 MR2640044
23
T C Collins , G
Székelyhidi , Sasaki–Einstein
metrics and K –stability ,
Geom. Topol. 23 (2019) 1339 MR3956894
24
R J Conlon ,
H J Hein , Asymptotically
conical Calabi–Yau manifolds, I , Duke Math. J. 162
(2013) 2855 MR3161306
25
M Cvetič , G W
Gibbons , H Lü , C N Pope , Almost special
holonomy in type IIA and M –theory , Nuclear Phys. B 638 (2002)
186 MR1924090
26
M Cvetič , G W
Gibbons , H Lü , C N Pope , Cohomogeneity one
manifolds of Spin (7) and G 2
holonomy , Phys. Rev. D 65 (2002) MR1919035
27
M Cvetič , G W
Gibbons , H Lü , C N Pope , New complete
noncompact Spin (7) manifolds , Nuclear Phys. B 620
(2002) 29 MR1873145
28
M Cvetič , G W
Gibbons , H Lü , C N Pope , New
cohomogeneity one metrics with Spin (7)
holonomy , J. Geom. Phys. 49 (2004) 350 MR2076750
29
M Cvetič , H Lü ,
D N Page , C N Pope , New
Einstein–Sasaki spaces in five and higher dimensions ,
Phys. Rev. Lett. 95 (2005) MR2167018
30
J Eells , S
Salamon , Twistorial
construction of harmonic maps of surfaces into
four-manifolds , Ann. Scuola Norm. Sup. Pisa Cl. Sci. 12
(1985) 589 MR848842
31
L Foscolo , Deformation theory of
nearly Kähler manifolds , J. Lond. Math. Soc. 95 (2017)
586 MR3656283
32
L Foscolo , M
Haskins , J Nordström , Complete non-compact
G 2 –manifolds from asymptotically conical
Calabi–Yau 3 –folds , preprint
(2017) arXiv:1709.04904
33
L Foscolo , M
Haskins , J Nordström , Infinitely many new
families of complete cohomogeneity one G 2 –manifolds : G 2
analogues of the Taub–NUT and Eguchi–Hanson spaces ,
preprint (2018) arXiv:1805.02612
34
T Friedrich , I
Kath , A Moroianu , U Semmelmann , On nearly
parallel G 2 –structures , J. Geom. Phys. 23
(1997) 259 MR1484591
35
K Fukaya , Hausdorff convergence
of Riemannian manifolds and its applications , from:
"Recent topics in differential and analytic geometry" (editor T
Ochiai), Adv. Stud. Pure Math. 18, Academic (1990) 143 MR1145256
36
A Futaki , H
Ono , G Wang , Transverse Kähler
geometry of Sasaki manifolds and toric Sasaki–Einstein
manifolds , J. Differential Geom. 83 (2009) 585 MR2581358
37
K Galicki , H B
Lawson Jr. , Quaternionic reduction and
quaternionic orbifolds , Math. Ann. 282 (1988) 1
MR960830
38
K Galicki , T
Nitta , Nonzero scalar curvature
generalizations of the ALE hyper-Kähler metrics , J.
Math. Phys. 33 (1992) 1765 MR1158996
39
K Galicki , S
Salamon , Betti numbers of
3 –Sasakian manifolds , Geom.
Dedicata 63 (1996) 45 MR1413621
40
J P Gauntlett ,
D Martelli , J Sparks , D Waldram ,
Sasaki–Einstein
metrics on S 2 ×
S 3 , Adv. Theor. Math. Phys. 8
(2004) 711 MR2141499
41
G Gibbons , S
Hawking , Gravitational
multi-instantons , Phys. Lett. B 78 (1978) 430
42
S Goette , Adiabatic limits of Seifert
fibrations, Dedekind sums, and the diffeomorphism type of
certain 7 –manifolds , J.
Eur. Math. Soc. 16 (2014) 2499 MR3293803
43
R Goto , Calabi–Yau structures
and Einstein–Sasakian structures on crepant resolutions of
isolated singularities , J. Math. Soc. Japan 64 (2012)
1005 MR2965437
44
V W Guillemin ,
S Sternberg , Supersymmetry and
equivariant de Rham theory , Springer (1999) MR1689252
45
S Gukov , J
Sparks , M –theory on Spin (7)
manifolds , Nuclear Phys. B 625 (2002) 3 MR1890885
46
S Gukov , J
Sparks , D Tong , Conifold
transitions and five-brane condensation in M –theory on Spin (7)
manifolds , Classical Quantum Gravity 20 (2003) 665
MR1959397
47
M Haskins , H J
Hein , J Nordström , Asymptotically
cylindrical Calabi–Yau manifolds , J. Differential Geom.
101 (2015) 213 MR3399097
48
T Hausel , E
Hunsicker , R Mazzeo , Hodge
cohomology of gravitational instantons , Duke Math. J.
122 (2004) 485 MR2057017
49
A Haydys , HyperKähler
and quaternionic Kähler manifolds with S 1 –symmetries , J. Geom. Phys. 58
(2008) 293 MR2394039
50
H J Hein , S
Sun , Calabi–Yau
manifolds with isolated conical singularities , Publ.
Math. Inst. Hautes Études Sci. 126 (2017) 73 MR3735865
51
N J Hitchin ,
Kählerian
twistor spaces , Proc. Lond. Math. Soc. 43 (1981) 133
MR623721
52
N J Hitchin , A
new family of Einstein metrics , from: "Manifolds and
geometry" (editors P de Bartolomeis, F Tricerri, E Vesentini),
Sympos. Math. 36, Cambridge Univ. Press (1996) 190 MR1410073
53
N Hitchin , On the
hyperKähler/quaternion Kähler correspondence , Comm.
Math. Phys. 324 (2013) 77 MR3116317
54
N Hitchin , The
hyperholomorphic line bundle , from: "Algebraic and
complex geometry" (editors A Frühbis-Krüger, R N
Kloosterman, M Schütt), Springer Proc. Math. Stat. 71, Springer
(2014) 209 MR3278575
55
N J Hitchin , A
Karlhede , U Lindström , M Roček , Hyper-Kähler metrics and
supersymmetry , Comm. Math. Phys. 108 (1987) 535
MR877637
56
G R Jensen ,
Einstein
metrics on principal fibre bundles , J. Differential
Geom. 8 (1973) 599 MR353209
57
D D Joyce ,
Compact
8 –manifolds with holonomy
Spin (7) , Invent. Math. 123 (1996) 507
MR1383960
58
D Joyce , A new construction of
compact 8 –manifolds with holonomy
Spin (7) , J. Differential Geom. 53 (1999) 89
MR1776092
59
D D Joyce ,
Compact manifolds with special holonomy , Oxford Univ.
Press (2000) MR1787733
60
H Kanno , Y
Yasui , On Spin (7) holonomy
metric based on SU (3) ∕U (1) , I , J. Geom. Phys. 43 (2002) 293
MR1929908
61
H Kanno , Y
Yasui , On Spin (7) holonomy
metric based on SU (3) ∕U (1) , II , J. Geom. Phys. 43 (2002) 310
MR1929909
62
S Karigiannis ,
J D Lotay , Deformation theory
of G 2 conifolds , Comm. Anal. Geom. 28
(2020) 1057 MR4165315
63
P Kaste , R
Minasian , M Petrini , A Tomasiello ,
Kaluza–Klein
bundles and manifolds of exceptional holonomy , J. High
Energy Phys. 2002 (2002) MR1949076
64
M Konishi , On manifolds with
Sasakian 3 –structure over
quaternion Kähler manifolds , Kōdai Math. Sem. Rep. 26
(1975) 194 MR377782
65
A Kovalev ,
Asymptotically cylindrical manifolds with holonomy
Spin (7) , I , preprint (2013) arXiv:1309.5027
66
P B Kronheimer ,
The
construction of ALE spaces as hyper-Kähler quotients ,
J. Differential Geom. 29 (1989) 665 MR992334
67
P B Kronheimer ,
A
Torelli-type theorem for gravitational instantons , J.
Differential Geom. 29 (1989) 685 MR992335
68
P B Kronheimer ,
H Nakajima , Yang–Mills instantons on
ALE gravitational instantons , Math. Ann. 288 (1990) 263
MR1075769
69
F Lehmann ,
Geometric transitions with Spin(7) holonomy via a dynamical
system , preprint (2020) arXiv:2012.11758
70
R Lockhart ,
Fredholm, Hodge
and Liouville theorems on noncompact manifolds , Trans.
Amer. Math. Soc. 301 (1987) 1 MR879560
71
R B Lockhart ,
R C McOwen , Elliptic
differential operators on noncompact manifolds , Ann.
Scuola Norm. Sup. Pisa Cl. Sci. 12 (1985) 409 MR837256
72
T B Madsen , A
Swann , Toric geometry of
G 2 –manifolds , Geom. Topol. 23
(2019) 3459 MR4047648
73
D Martelli , J
Sparks , Toric
Sasaki–Einstein metrics on S 2
× S 3 , Phys. Lett. B 621 (2005) 208
MR2152673
74
D Martelli , J
Sparks , Resolutions of
non-regular Ricci-flat Kähler cones , J. Geom. Phys. 59
(2009) 1175 MR2547337
75
P Molino , Riemannian
foliations , 73, Birkhäuser (1988) MR932463
76
L Nirenberg ,
H F Walker , The null spaces
of elliptic partial differential operators in ℝ n , J. Math. Anal. Appl. 42 (1973)
271 MR320821
77
J Nordström ,
Deformations of
asymptotically cylindrical G 2 –manifolds , Math. Proc. Cambridge
Philos. Soc. 145 (2008) 311 MR2442130
78
F Pacard , Connected sum constructions in
geometry and nonlinear analysis , lecture notes
(2008)
79
T H Parker ,
A
Morse theory for equivariant Yang–Mills , Duke Math. J.
66 (1992) 337 MR1162193
80
F Reidegeld ,
Exceptional
holonomy and Einstein metrics constructed from Aloff–Wallach
spaces , Proc. Lond. Math. Soc. 102 (2011) 1127 MR2806102
81
B L Reinhart ,
Differential
geometry of foliations , 99, Springer (1983) MR705126
82
S Salamon , Quaternionic Kähler
manifolds , Invent. Math. 67 (1982) 143 MR664330
83
T Shioya , Eigenvalues and
suspension structure of compact Riemannian orbifolds with
positive Ricci curvature , Manuscripta Math. 99 (1999)
509 MR1713808
84
S Smale , On the structure of
5 –manifolds , Ann. of Math.
75 (1962) 38 MR141133
85
A Swann , Hyper-Kähler and
quaternionic Kähler geometry , Math. Ann. 289 (1991) 421
MR1096180
86
P Tondeur , Geometry of
foliations , 90, Birkhäuser (1997) MR1456994