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
1
D W Anderson ,
Universal
coefficient theorems for K-theory , preprint (1970)
2
M Ando , M J
Hopkins , C Rezk ,
Multiplicative orientations of KO –theory and of the spectrum of topological
modular forms , preprint (2010)
3
S Araki , Orientations in
τ –cohomology theories ,
Japan. J. Math. 5 (1979) 403 MR614829
4
M F Atiyah ,
K –theory
and reality , Quart. J. Math. Oxford Ser. 17 (1966) 367
MR0206940
5
A Baker , B
Richter , Invertible modules
for commutative 𝕊 –algebras with
residue fields , Manuscripta Math. 118 (2005) 99
MR2171294
6
T Bauer , Computation of the
homotopy of the spectrum tmf , from: "Groups, homotopy and
configuration spaces" (editors N Iwase, T Kohno, R Levi, D
Tamaki, J Wu), Geom. Topol. Monogr. 13, Geom. Topol. Publ.
(2008) 11 MR2508200
7
M Behrens , A modular
description of the K (2) –local sphere at the prime 3 , Topology 45 (2006) 343 MR2193339
8
M Behrens , The
construction of tmf , from:
"Topological modular forms" (editors C L Douglas, J
Francis, A G Henriques, M A Hill), Mathematical
Surveys and Monographs 201, Amer. Math. Soc. (2014) 131
MR3223024
9
M Behrens , M
Hill , M J Hopkins , M Mahowald ,
On the
existence of a v 2 32 –self map on M (1 , 4) at the prime
2 , Homology Homotopy Appl.
10 (2008) 45 MR2475617
10
M Behrens , K
Ormsby , On the homotopy of
Q (3)
and Q (5) at the prime 2 , Algebr. Geom. Topol. 16 (2016) 2459
MR3572338
11
M Behrens , K
Ormsby , N Stapleton , V Stojanoska , On the
ring of cooperations for 2 –primary
connective topological modular forms , preprint (2015)
arXiv:1501.01050
12
M Behrens , S
Pemmaraju , On the existence of
the self map v 2 9
on the Smith–Toda complex V
(1) at the prime 3 , from: "Homotopy theory : relations with algebraic
geometry, group cohomology, and algebraic K –theory" (editors P Goerss, S Priddy),
Contemp. Math. 346, Amer. Math. Soc. (2004) 9 MR2066495
13
A J Blumberg ,
M A Hill , Operadic
multiplications in equivariant spectra, norms, and
transfers , Adv. Math. 285 (2015) 658 MR3406512
14
U Bunke , T
Nikolaus , Twisted differential cohomology , preprint
(2014) arXiv:1406.3231
15
K Cesnavicius , A
modular description of 𝒳 0 ( n ) , preprint
(2015) arXiv:1511.07475
16
B Conrad , Arithmetic moduli
of generalized elliptic curves , J. Inst. Math. Jussieu
6 (2007) 209 MR2311664
17
P Deligne , M
Rapoport , Les schémas de
modules de courbes elliptiques , from: "Modular
functions of one variable, II", Lecture Notes in Math. 349,
Springer (1973) 143 MR0337993
18
D Dugger ,
Multiplicative structures on homotopy spectral sequences,
II , preprint (2003) arXiv:math/0305187
19
A D Elmendorf ,
I Kriz , M A Mandell , J P May ,
Rings, modules, and algebras in stable homotopy theory ,
47, Amer. Math. Soc. (1997) MR1417719
20
P G Goerss ,
Realizing
families of Landweber exact homology theories , from:
"New topological contexts for Galois theory and algebraic
geometry" (editors A Baker, B Richter), Geom. Topol. Monogr.
16, Geom. Topol. Publ. (2009) 49 MR2544386
21
U Görtz , T
Wedhorn , Algebraic geometry,
I : Schemes with
examples and exercises , Vieweg + Teubner (2010)
MR2675155
22
J P C
Greenlees , L Meier , Gorenstein duality for Real
spectra , preprint (2016) arXiv:1607.02332
23
M Groth , A short
course on ∞ –categories ,
preprint (2010) arXiv:1007.2925
24
R Hartshorne ,
Algebraic
geometry , 52, Springer (1977) MR0463157
25
R Hartshorne ,
Stable
reflexive sheaves , Math. Ann. 254 (1980) 121 MR597077
26
M A Hill ,
The
String bordism of BE 8 and
BE 8 ×
BE 8 through dimension 14 , Illinois J. Math. 53 (2009) 183
MR2584941
27
M A Hill ,
The
equivariant slice filtration: a primer , Homology
Homotopy Appl. 14 (2012) 143 MR3007090
28
M A Hill ,
M J Hopkins , D C Ravenel , On the
nonexistence of elements of Kervaire invariant one ,
Ann. of Math. 184 (2016) 1 MR3505179
29
M Hill , T
Lawson , Topological modular
forms with level structure , Invent. Math. 203 (2016)
359 MR3455154
30
H Hohnhold , The
Landweber exact functor theorem , from: "Topological modular
forms" (editors C L Douglas, J Francis, A G
Henriques, M A Hill), Mathematical Surveys and Monographs
201, Amer. Math. Soc. (2014) 35 MR3223024
31
M Hovey , J H
Palmieri , N P Strickland , Axiomatic stable homotopy
theory , 610, Amer. Math. Soc. (1997) MR1388895
32
P Hu , I Kriz ,
Real-oriented
homotopy theory and an analogue of the Adams–Novikov spectral
sequence , Topology 40 (2001) 317 MR1808224
33
A Joyal , The theory
of quasi-categories and its applications , lecture notes
(2008)
34
N M Katz , B
Mazur , Arithmetic moduli of
elliptic curves , 108, Princeton University Press (1985)
MR772569
35
J Konter , The
homotopy groups of the spectrum Tmf , preprint (2012)
arXiv:1212.3656
36
P S Landweber ,
Conjugations
on complex manifolds and equivariant homotopy of MU , Bull. Amer. Math. Soc. 74 (1968)
271 MR0222890
37
T Lawson , N
Naumann , Strictly commutative
realizations of diagrams over the Steenrod algebra and
topological modular forms at the prime 2 , Int. Math. Res. Not. 2014 (2014)
2773 MR3214285
38
L G Lewis Jr. ,
M A Mandell , Equivariant
universal coefficient and Künneth spectral sequences ,
Proc. London Math. Soc. 92 (2006) 505 MR2205726
39
J Lurie , Higher topos
theory , 170, Princeton University Press (2009) MR2522659
40
J Lurie , A survey of
elliptic cohomology , from: "Algebraic topology"
(editors N A Baas, E M Friedlander, B Jahren,
P A Østvær), Abel Symp. 4, Springer (2009) 219 MR2597740
41
J Lurie , Chromatic homotopy
theory , lecture notes (2010)
42
J Lurie , Derived algebraic geometry,
VIII : Quasi-coherent
sheaves and Tannaka duality theorems , unpublished
manuscript (2011)
43
J Lurie , Derived algebraic geometry,
XII : Proper morphisms,
completions, and the Grothendieck existence theorem ,
unpublished manuscript (2011)
44
J Lurie , Higher algebra ,
unpublished manuscript (2014)
45
M Mahowald , M
Hopkins , The structure of
24 dimensional manifolds having
normal bundles which lift to BO [8] ,
from: "Recent progress in homotopy theory" (editors D M
Davis, J Morava, G Nishida, W S Wilson, N Yagita),
Contemp. Math. 293, Amer. Math. Soc. (2002) 89 MR1887530
46
M Mahowald , C
Rezk , Topological
modular forms of level 3 ,
Pure Appl. Math. Q. 5 (2009) 853 MR2508904
47
M A Mandell ,
J P May , Equivariant orthogonal
spectra and S –modules ,
755, Amer. Math. Soc. (2002) MR1922205
48
M A Mandell ,
J P May , S Schwede , B Shipley ,
Model
categories of diagram spectra , Proc. London Math. Soc.
82 (2001) 441 MR1806878
49
A Mathew , The homology of
tmf , Homology Homotopy Appl. 18 (2016) 1 MR3515195
50
A Mathew , L
Meier , Affineness and
chromatic homotopy theory , J. Topol. 8 (2015) 476
MR3356769
51
A Mathew , V
Stojanoska , The Picard group of
topological modular forms via descent theory , Geom.
Topol. 20 (2016) 3133 MR3590352
52
L Meier , United elliptic
homology , PhD thesis, University of Bonn (2012)
53
L Meier , Vector bundles
on the moduli stack of elliptic curves , J. Algebra 428
(2015) 425 MR3314299
54
N Naumann , The stack of formal
groups in stable homotopy theory , Adv. Math. 215 (2007)
569 MR2355600
55
N Naumann , M
Spitzweck , P A Østvær , Motivic
Landweber exactness , Doc. Math. 14 (2009) 551 MR2565902
56
N Ricka , Equivariant
Anderson duality and Mackey functor duality , Glasg.
Math. J. 58 (2016) 649 MR3530492
57
J Rognes , Galois extensions of
structured ring spectra, Stably dualizable groups , 898,
Amer. Math. Soc. (2008) MR2387923
58
S Schwede , Lectures on
equivariant stable homotopy theory , lecture notes
(2014)
59
M Spitzweck ,
Operads, algebras and modules in general model
categories , preprint (2001) arXiv:math/0101102
60
V Stojanoska ,
Duality
for topological modular forms , Doc. Math. 17 (2012) 271
MR2946825