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
J F Adams ,
On the
non-existence of elements of Hopf invariant one , Ann.
of Math. (2) 72 (1960) 20 MR0141119
2
J F Adams ,
S B Priddy , Uniqueness of
B SO , Math. Proc. Cambridge Philos. Soc.
80 (1976) 475 MR0431152
3
S Amelotte ,
The
fibre of the degree 3 map, Anick
spaces and the double suspension , Proc. Edinb. Math.
Soc. (2) 63 (2020) 830 MR4163873
4
D W Anderson ,
E H Brown Jr. , F P Peterson ,
The structure of
the Spin cobordism ring , Ann. of Math. (2) 86 (1967) 271 MR0219077
5
M Ando , A J
Blumberg , D Gepner , M J Hopkins , C
Rezk , An
∞ –categorical approach to
R –line bundles, R –module Thom spectra, and twisted
R –homology , J. Topol. 7
(2014) 869 MR3252967
6
M Ando , M
Hopkins , C Rezk , Multiplicative
orientations of KO –theory and of
the spectrum of topological modular forms , preprint
(2010)
7
M Andrews , H
Miller , Inverting the Hopf
map , J. Topol. 10 (2017) 1145 MR3743072
8
G Angelini-Knoll ,
J D Quigley , Chromatic complexity of the
algebraic K–theory of y ( n ) , preprint
(2019) arXiv:1908.09164
9
G Angelini-Knoll ,
J D Quigley , The Segal
conjecture for topological Hochschild homology of Ravenel
spectra , J. Homotopy Relat. Struct. 16 (2021) 41
MR4225506
10
V Angeltveit ,
M A Hill , T Lawson , The spectra
ko and ku are not Thom spectra : an approach using
THH , from: "New topological contexts for Galois theory
and algebraic geometry" (editors A Baker, B Richter), Geom.
Topol. Monogr. 16, Geom. Topol. Publ. (2009) 1 MR2544383
11
V Angeltveit ,
M A Hill , T Lawson , Topological Hochschild
homology of ℓ and ko , Amer. J. Math. 132 (2010) 297
MR2654776
12
V Angeltveit ,
J A Lind , Uniqueness of
BP ⟨ n ⟩ , J. Homotopy Relat. Struct. 12
(2017) 17 MR3613020
13
V Angeltveit , J
Rognes , Hopf algebra
structure on topological Hochschild homology , Algebr.
Geom. Topol. 5 (2005) 1223 MR2171809
14
D Anick ,
Differential algebras in topology , 3, A K Peters (1993)
MR1213682
15
O Antolín-Camarena ,
T Barthel , A simple universal
property of Thom ring spectra , J. Topol. 12 (2019) 56
MR3875978
16
G Arone , Iterates of the
suspension map and Mitchell’s finite spectra with A k –free
cohomology , Math. Res. Lett. 5 (1998) 485 MR1653316
17
G Arone , M
Mahowald , The Goodwillie tower of
the identity functor and the unstable periodic homotopy of
spheres , Invent. Math. 135 (1999) 743 MR1669268
18
L Astey , Commutative
2 –local ring spectra , Proc.
Roy. Soc. Edinburgh Sect. A 127 (1997) 1 MR1433081
19
J Beardsley ,
Relative
Thom spectra via operadic Kan extensions , Algebr. Geom.
Topol. 17 (2017) 1151 MR3623685
20
J Beardsley ,
A
theorem on multiplicative cell attachments with an application
to Ravenel’s X ( n ) spectra , J. Homotopy Relat. Struct.
14 (2019) 611 MR3987551
21
J Beardsley , T
Lawson , Skeleta and categories of algebras , preprint
(2021) arXiv:2110.09595
22
A Beaudry , M
Behrens , P Bhattacharya , D Culver , Z
Xu , On the tmf-resolution of Z , preprint (2019) arXiv:1909.13379v1
23
P Beben , S
Theriault , The
Kahn–Priddy theorem and the homotopy of the
three-sphere , Proc. Amer. Math. Soc. 141 (2013) 711
MR2996976
24
M Behrens , D
Wilson , A
C 2 –equivariant analog of Mahowald’s Thom
spectrum theorem , Proc. Amer. Math. Soc. 146 (2018)
5003 MR3856165
25
P Bhattacharya , P
Egger , A class of
2 –local finite spectra which admit
a v 2 1 –self-map , Adv. Math. 360 (2020)
MR4031119
26
R R Bruner ,
J P May , J E McClure , M
Steinberger , H ∞ ring
spectra and their applications , 1176, Springer (1986)
MR0836132
27
H Chatham , Thom
complexes and the spectrum tmf , preprint (2019) arXiv:1903.07116
28
F R Cohen ,
A course in
some aspects of classical homotopy theory , from:
"Algebraic topology" (editors H R Miller, D C
Ravenel), Lecture Notes in Math. 1286, Springer (1987) 1
MR0922923
29
F R Cohen ,
J C Moore , J A Neisendorfer ,
The double
suspension and exponents of the homotopy groups of
spheres , Ann. of Math. (2)
110 (1979) 549 MR0554384
30
F R Cohen ,
J C Moore , J A Neisendorfer ,
Torsion in
homotopy groups , Ann. of Math. (2) 109 (1979) 121 MR0519355
31
D M Davis , M
Mahowald , v 1 - and
v 2 –periodicity in stable homotopy
theory , Amer. J. Math. 103 (1981) 615 MR0623131
32
D M Davis , M
Mahowald , Connective versions of TMF (3) , Int. J.
Mod. Math. 5 (2010) 223 MR2779050
33
S Devalapurkar , EHP
sequences and Wood equivalences , in preparation
34
S K Devalapurkar ,
The Ando–Hopkins–Rezk orientation is surjective ,
preprint (2019) arXiv:1911.10534
35
S K Devalapurkar ,
Hodge theory
for elliptic curves and the Hopf element ν , Bull. Lond. Math. Soc. 55 (2023)
826 MR4581326
36
S Devalapurkar ,
Topological
Hochschild homology, truncated Brown–Peterson spectra, and the
Sen operator , preprint (2023)
37
S Devalapurkar , P
Haine , On the
James and Hilton–Milnor splittings, and the metastable EHP
sequence , Doc. Math. 26 (2021) 1423 MR4334846
38
E S Devinatz ,
M J Hopkins , J H Smith , Nilpotence and stable
homotopy theory, I , Ann. of Math. (2) 128 (1988) 207 MR0960945
39
D Dugger , D C
Isaksen , Motivic Hopf
elements and relations , New York J. Math. 19 (2013) 823
MR3141814
40
J Francis , The tangent complex
and Hochschild cohomology of ℰ n –rings , Compos. Math. 149 (2013)
430 MR3040746
41
B Gheorghe ,
The
motivic cofiber of tau and exotic periodicities , PhD
thesis, Wayne State University (2017) MR3732063
42
B Gray , On the iterated
suspension , Topology 27 (1988) 301 MR0963632
43
B Gray , Homotopy
commutativity and the EHP sequence , from: "Algebraic
topology" (editors M Mahowald, S Priddy), Contemp. Math. 96,
Amer. Math. Soc. (1989) 181 MR1022680
44
B Gray , On the double
suspension , from: "Algebraic topology" (editors G
Carlsson, R L Cohen, H R Miller, D C Ravenel),
Lecture Notes in Math. 1370, Springer (1989) 150 MR1000375
45
B Gray , S
Theriault , An elementary
construction of Anick’s fibration , Geom. Topol. 14
(2010) 243 MR2578305
46
J Hahn , A
Horev , I Klang , D Wilson , F Zou ,
Equivariant nonabelian Poincaré duality and equivariant
factorization homology of Thom spectra , preprint (2020)
arXiv:2006.13348
47
J Hahn , X D
Shi , Real orientations
of Lubin–Tate spectra , Invent. Math. 221 (2020) 731
MR4132956
48
J Hahn , D
Wilson , Eilenberg–Mac Lane
spectra as equivariant Thom spectra , Geom. Topol. 24
(2020) 2709 MR4194302
49
M A Hill ,
The
String bordism of BE 8 and
BE 8 ×
BE 8 through dimension 14 , Illinois J. Math. 53 (2009) 183
MR2584941
50
M J Hopkins ,
Stable
decompositions of certain loop spaces , PhD thesis,
Northwestern University (1984) MR2633919
51
M J Hopkins ,
Global methods
in homotopy theory , from: "Homotopy theory" (editors E
Rees, J D S Jones), London Math. Soc. Lecture Note
Ser. 117, Cambridge Univ. Press (1987) 73 MR0932260
52
M J Hopkins ,
From spectra
to stacks , 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) MR3223024
53
M J Hopkins ,
M A Hovey , Spin cobordism determines
real K –theory , Math. Z.
210 (1992) 181 MR1166518
54
M J Hopkins ,
J H Smith , Nilpotence and stable homotopy
theory, II , Ann. of Math. (2) 148 (1998) 1 MR1652975
55
P Hu , I Kriz ,
Real-oriented
homotopy theory and an analogue of the Adams–Novikov spectral
sequence , Topology 40 (2001) 317 MR1808224
56
I Klang , The factorization
theory of Thom spectra and twisted nonabelian Poincaré
duality , Algebr. Geom. Topol. 18 (2018) 2541 MR3848394
57
A Krause ,
Periodicity in motivic homotopy theory and over BP ∗ BP ,
PhD thesis, University of Bonn (2017)
58
A Krause , T
Nikolaus , Bökstedt
periodicity and quotients of DVRs , Compos. Math. 158
(2022) 1683 MR4490929
59
N J Kuhn ,
A
Kahn–Priddy sequence and a conjecture of G W Whitehead ,
Math. Proc. Cambridge Philos. Soc. 92 (1982) 467 MR0677471
60
G Laures , K (1) –local
topological modular forms , Invent. Math. 157 (2004) 371
MR2076927
61
G Laures , B
Schuster , Towards a splitting of the
K (2) –local string bordism spectrum ,
Proc. Amer. Math. Soc. 147 (2019) 399 MR3876758
62
T Lawson , E n –spectra and Dyer–Lashof
operations , from: "Handbook of homotopy theory" (editor
H Miller), CRC Press (2020) 793 MR4197999
63
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
64
L G J Lewis ,
The
stable category and generalized Thom spectra , PhD
thesis, The University of Chicago (1978) MR2611772
65
A Liulevicius ,
The
factorization of cyclic reduced powers by secondary cohomology
operations , 42, Amer. Math. Soc. (1962) 112 MR0182001
66
J Lurie , Higher algebra , book
project (2017)
67
M Mahowald ,
Ring
spectra which are Thom complexes , Duke Math. J. 46
(1979) 549 MR0544245
68
M Mahowald ,
bo –resolutions , Pacific J. Math. 92 (1981) 365
MR0618072
69
M Mahowald ,
The primary
v 2 –periodic family , Math. Z. 177
(1981) 381 MR0618203
70
M Mahowald ,
The image of
J in the EHP sequence , Ann. of Math.
(2) 116 (1982) 65 MR0662118
71
M Mahowald ,
Thom complexes
and the spectra bo and
bu , from: "Algebraic
topology" (editors H R Miller, D C Ravenel), Lecture
Notes in Math. 1286, Springer (1987) 293 MR0922932
72
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
73
M Mahowald , D
Ravenel , P Shick , The triple loop space
approach to the telescope conjecture , from: "Homotopy
methods in algebraic topology" (editors J P C
Greenlees, R R Bruner, N Kuhn), Contemp. Math. 271, Amer.
Math. Soc. (2001) 217 MR1831355
74
M Mahowald , C
Rezk , Brown–Comenetz duality
and the Adams spectral sequence , Amer. J. Math. 121
(1999) 1153 MR1719751
75
M Mahowald , C
Rezk , Topological
modular forms of level 3 ,
Pure Appl. Math. Q. 5 (2009) 853 MR2508904
76
M Mahowald ,
R D Thompson , The fiber of the secondary
suspension map , Amer. J. Math. 116 (1994) 179 MR1262430
77
M Mahowald , A
Unell ,
Bott periodicity at the prime 2 in
the unstable homotopy of spheres , lecture notes
(1977)
78
A Mathew , The homology of
tmf , Homology Homotopy Appl. 18 (2016) 1 MR3515195
79
A Mathew , N
Naumann , J Noel , On a nilpotence
conjecture of J P May , J. Topol. 8 (2015) 917 MR3431664
80
H R Miller ,
On
relations between Adams spectral sequences, with an application
to the stable homotopy of a Moore space , J. Pure Appl.
Algebra 20 (1981) 287 MR0604321
81
J A Neisendorfer ,
3 –Primary exponents , Math. Proc.
Cambridge Philos. Soc. 90 (1981) 63 MR0611286
82
A V Pazhitnov ,
Y B Rudyak , On commutative ring spectra of
characteristic 2 , Mat. Sb.
(N.S.) 124(166) (1984) 486 MR0754472
83
A Pressley , G
Segal , Loop groups , Clarendon (1986) MR0900587
84
D C Ravenel ,
Localization with
respect to certain periodic homology theories , Amer. J.
Math. 106 (1984) 351 MR0737778
85
D C Ravenel ,
Complex cobordism and stable homotopy groups of spheres ,
121, Academic (1986) MR0860042
86
D C Ravenel ,
The method
of infinite descent in stable homotopy theory, I , 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) 251 MR1890739
87
C Rezk , Supplementary
notes for Math 512 , lecture notes (2007)
88
Y B Rudyak ,
The
spectra k and kO are not Thom spectra , from: "Group
representations: cohomology, group actions and topology"
(editors A Adem, J Carlson, S Priddy, P Webb), Proc. Sympos.
Pure Math. 63, Amer. Math. Soc. (1998) 475 MR1603140
89
P S Selick ,
Odd
primary torsion in the homotopy groups of spheres , PhD
thesis, Princeton University (1977) MR2627332
90
P Selick , S
Theriault , New perspectives on the
classifying space of the fibre of the double
suspension , Proc. Amer. Math. Soc. 147 (2019) 1325
MR3896077
91
J P Serre ,
Groupes
d’homotopie et classes de groupes abéliens , Ann. of
Math. (2) 58 (1953) 258 MR0059548
92
R Thom , Quelques propriétés
globales des variétés différentiables , Comment. Math.
Helv. 28 (1954) 17 MR0061823
93
H Toda , Composition methods in
homotopy groups of spheres , 49, Princeton Univ. Press
(1962) MR0143217
94
W S Wilson ,
The Ω –spectrum for Brown–Peterson cohomology,
II , Amer. J. Math. 97 (1975) 101 MR0383390
95
U Würgler , Commutative ring-spectra
of characteristic 2 ,
Comment. Math. Helv. 61 (1986) 33 MR0847518
96
X Zhu , An introduction to affine
Grassmannians and the geometric Satake equivalence ,
from: "Geometry of moduli spaces and representation theory"
(editors R Bezrukavnikov, A Braverman, Z Yun), IAS/Park City
Math. Ser. 24, Amer. Math. Soc. (2017) 59 MR3752460