Recent Issues
Volume 24, 2 issues
Volume 24
Issue 2, 595–1223
Issue 1, 1–594
Volume 23, 9 issues
Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508
Volume 22, 8 issues
Volume 22
Issue 8, 3533–4008
Issue 7, 3059–3532
Issue 6, 2533–3057
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472
Volume 21, 7 issues
Volume 21
Issue 7, 3221–3734
Issue 6, 2677–3220
Issue 5, 2141–2676
Issue 4, 1595–2140
Issue 3, 1075–1593
Issue 2, 543–1074
Issue 1, 1–541
Volume 20, 7 issues
Volume 20
Issue 7, 3219–3760
Issue 6, 2687–3218
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529
Volume 19, 7 issues
Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532
Volume 18, 7 issues
Volume 18
Issue 7, 3749–4373
Issue 6, 3133–3747
Issue 5, 2509–3131
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633
Volume 17, 6 issues
Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643
Volume 16, 6 issues
Volume 16
Issue 6, 3073–3719
Issue 5, 2459–3071
Issue 4, 1827–2458
Issue 3, 1253–1825
Issue 2, 621–1251
Issue 1, 1–620
Volume 15, 6 issues
Volume 15
Issue 6, 3107–3729
Issue 5, 2479–3106
Issue 4, 1863–2477
Issue 3, 1239–1862
Issue 2, 623–1238
Issue 1, 1–622
Volume 14, 6 issues
Volume 14
Issue 6, 3141–3763
Issue 5, 2511–3139
Issue 4, 1881–2509
Issue 3, 1249–1879
Issue 2, 627–1247
Issue 1, 1–625
Volume 13, 6 issues
Volume 13
Issue 6, 3099–3731
Issue 5, 2471–3097
Issue 4, 1857–2469
Issue 3, 1243–1856
Issue 2, 625–1241
Issue 1, 1–624
Volume 12, 4 issues
Volume 12
Issue 4, 1901–2517
Issue 3, 1265–1899
Issue 2, 643–1263
Issue 1, 1–641
Volume 11, 5 issues
Volume 11
Issue 5, 2477–3084
Issue 4, 1861–2475
Issue 3, 1243–1860
Issue 2, 625–1242
Issue 1, 1–624
Volume 10, 4 issues
Volume 10
Issue 4, 1865–2468
Issue 3, 1245–1863
Issue 2, 627–1244
Issue 1, 1–625
Volume 9, 4 issues
Volume 9
Issue 4, 1885–2502
Issue 3, 1255–1883
Issue 2, 625–1254
Issue 1, 1–624
Volume 8, 4 issues
Volume 8
Issue 4, 1855–2414
Issue 3, 1223–1853
Issue 2, 615–1222
Issue 1, 1–613
Volume 7, 4 issues
Volume 7
Issue 4, 1633–2270
Issue 3, 1135–1632
Issue 2, 529–1134
Issue 1, 1–528
Volume 6, 5 issues
Volume 6
Issue 5, 2031–2518
Issue 4, 1519–2029
Issue 3, 1025–1517
Issue 2, 513–1024
Issue 1, 1–512
Volume 5, 4 issues
Volume 5
Issue 4, 1291–1732
Issue 3, 865–1290
Issue 2, 443–864
Issue 1, 1–442
Volume 4, 2 issues
Volume 4
Issue 2, 647–1272
Issue 1, 1–645
Volume 3, 2 issues
Volume 3
Issue 2, 623–1292
Issue 1, 1–622
Volume 2, 2 issues
Volume 2
Issue 2, 591–1204
Issue 1, 1–590
Volume 1, 2 issues
Volume 1
Issue 2, 627–790
Issue 1, 1–625
GKM manifolds are not
rigid
Oliver Goertsches, Panagiotis Konstantis and Leopold
Zoller
Algebraic & Geometric Topology 22 (2022) 3511–3532
1
S Choi , S
Kuroki , Topological
classification of torus manifolds which have codimension one
extended actions , Algebr. Geom. Topol. 11 (2011) 2655
MR2846908
2
S Choi , M
Masuda , D Y Suh , Rigidity problems
in toric topology: a survey , Tr. Mat. Inst. Steklova
275 (2011) 188 MR2962979
3
S Choi , S Park ,
D Y Suh , Topological
classification of quasitoric manifolds with second Betti number
2 , Pacific J. Math. 256
(2012) 19 MR2928539
4
M Franz , V
Puppe ,
Exact sequences for equivariantly formal spaces , C. R.
Math. Acad. Sci. Soc. R. Can. 33 (2011) 1 MR2790824
5
M Franz , H
Yamanaka , Graph equivariant
cohomological rigidity for GKM graphs , Proc. Japan
Acad. Ser. A Math. Sci. 95 (2019) 107 MR4038723
6
O Goertsches , P
Konstantis , L Zoller , GKM theory and
Hamiltonian non-Kähler actions in dimension 6 , Adv. Math. 368 (2020) 107141
MR4088417
7
O Goertsches , P
Konstantis , L Zoller , Realization of GKM
fibrations and new examples of Hamiltonian non-Kähler
actions , preprint (2020) arXiv:2003.11298
8
O Goertsches , L
Zoller , Equivariant de
Rham cohomology : theory and applications , São Paulo J.
Math. Sci. 13 (2019) 539 MR4025581
9
M Goresky , R
Kottwitz , R MacPherson , Equivariant cohomology,
Koszul duality, and the localization theorem , Invent.
Math. 131 (1998) 25 MR1489894
10
V Guillemin , C
Zara , 1 –Skeleta, Betti numbers, and equivariant
cohomology , Duke Math. J. 107 (2001) 283 MR1823050
11
A Hatcher , Algebraic
topology , Cambridge Univ. Press (2002) MR1867354
12
A Higashitani , K
Kurimoto , M Masuda ,
Cohomological rigidity for toric Fano manifolds of small
dimensions or large Picard numbers , Osaka J. Math. 59
(2022) 177 MR4373489
13
I M James ,
On the suspension
sequence , Ann. of Math. 65 (1957) 74 MR83124
14
D Jang , Circle actions on
8 –dimensional almost complex
manifolds with 4 fixed
points , J. Fixed Point Theory Appl. 22 (2020) 95
MR4161918
15
L Kramer , S
Stolz , A
diffeomorphism classification of manifolds which are like
projective planes , J. Differential Geom. 77 (2007) 177
MR2355782
16
S Kuroki , D Y
Suh , Cohomological
non-rigidity of eight-dimensional complex projective
towers , Algebr. Geom. Topol. 15 (2015) 769 MR3342675
17
A A Kustarev ,
Almost complex
actions of the circle with few fixed points , Uspekhi
Mat. Nauk 68 (2013) 191 MR3113861
18
M Masuda , Equivariant
cohomology distinguishes toric manifolds , Adv. Math.
218 (2008) 2005 MR2431667
19
M Masuda , T
Panov , On the
cohomology of torus manifolds , Osaka J. Math. 43 (2006)
711 MR2283418
20
M Masuda , D Y
Suh , Classification
problems of toric manifolds via topology , from: "Toric
topology" (editors M Harada, Y Karshon, M Masuda, T Panov),
Contemp. Math. 460, Amer. Math. Soc. (2008) 273 MR2428362
21
D McDuff , D
Salamon , Introduction
to symplectic topology , Oxford Univ. Press (2017)
MR3674984
22
C Okonek , M
Schneider , H Spindler , Vector bundles on
complex projective spaces , Birkhäuser (2011) MR2815674
23
P Orlik , F
Raymond , Actions of the torus on
4 –manifolds, I , Trans.
Amer. Math. Soc. 152 (1970) 531 MR268911
24
M Pabiniak , S
Tolman , Symplectic cohomological rigidity via toric
degnerations , preprint (2020) arXiv:2002.12434
25
S Smale , Generalized Poincaré’s
conjecture in dimensions greater than four , Ann. of
Math. 74 (1961) 391 MR137124
26
W P Thurston ,
Some simple
examples of symplectic manifolds , Proc. Amer. Math.
Soc. 55 (1976) 467 MR402764
27
H Toda , Composition
methods in homotopy groups of spheres , 49, Princeton
Univ. Press (1962) MR0143217
28
C Voisin , Hodge theory and
complex algebraic geometry, I , 76, Cambridge Univ.
Press (2007) MR2451566
29
R W West ,
Some
cohomotopy of projective space , Indiana Univ. Math. J.
20 (1970/71) 807 MR270373
30
G W Whitehead ,
The ( n + 2) nd
homotopy group of the n –sphere , Ann. of Math. 52 (1950) 245
MR37507
31
M Wiemeler ,
Exotic
torus manifolds and equivariant smooth structures on quasitoric
manifolds , Math. Z. 273 (2013) 1063 MR3030690
32
M Wiemeler ,
Torus
manifolds and non-negative curvature , J. Lond. Math.
Soc. 91 (2015) 667 MR3355120