Recent Issues
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
1
M Ando , The sigma orientation
for analytic circle-equivariant elliptic cohomology ,
Geom. Topol. 7 (2003) 91 MR1988282
2
M Ando , A J
Blumberg , D Gepner , Twists of
K –theory and TMF , from:
"Superstrings, geometry, topology, and C ∗ –algebras" (editors R S Doran, G
Friedman, J Rosenberg), Proc. Sympos. Pure Math. 81, Amer.
Math. Soc. (2010) 27 MR2681757
3
M Ando , A J
Blumberg , D J Gepner , M J Hopkins ,
C Rezk , Units of ring spectra and Thom spectra ,
preprint (2009) arXiv:0810.4535v3
4
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
5
M Ando , A J
Blumberg , D Gepner , M J Hopkins , C
Rezk , Units of ring spectra,
orientations and Thom spectra via rigid infinite loop space
theory , J. Topol. 7 (2014) 1077 MR3286898
6
B Antieau , D
Gepner , Brauer groups and
étale cohomology in derived algebraic geometry , Geom.
Topol. 18 (2014) 1149 MR3190610
7
B Antieau , D
Gepner , J M Gómez , Actions of
K ( π,n ) spaces on K –theory and uniqueness of twisted
K –theory , Trans. Amer.
Math. Soc. 366 (2014) 3631 MR3192610
8
M F Atiyah ,
I M Singer , The index of elliptic
operators, IV , Ann. of Math. 93 (1971) 119 MR0279833
9
J Ayoub , Les six
opérations de Grothendieck et le formalisme des cycles
évanescents dans le monde motivique, II , 315, Soc. Math.
France (2007) MR2438151
10
C Barwick , S
Glasman , D Nardin , Dualizing
cartesian and cocartesian fibrations , Theory Appl.
Categ. 33 (2018) 67 MR3746613
11
J C Becker ,
D H Gottlieb , Transfer
maps for fibrations and duality , Compositio Math. 33
(1976) 107 MR0436137
12
J E Bergner ,
A
model category structure on the category of simplicial
categories , Trans. Amer. Math. Soc. 359 (2007) 2043
MR2276611
13
J E Bergner ,
A
survey of ( ∞ , 1) –categories , from: "Towards higher
categories" (editors J C Baez, J P May), IMA Vol.
Math. Appl. 152, Springer (2010) 69 MR2664620
14
G E Bredon ,
Topology
and geometry , 139, Springer (1997) MR1700700
15
A L Carey ,
B L Wang , Thom isomorphism
and push-forward map in twisted K –theory , J. K–Theory 1 (2008) 357
MR2434190
16
D C Cisinski ,
F Déglise , Triangulated categories of mixed
motives , preprint (2009) arXiv:0912.2110
17
B Conrad , Grothendieck duality and base
change , 1750, Springer (2000) MR1804902
18
C L Douglas ,
Twisted parametrized stable homotopy theory , preprint
(2005) arXiv:math/0508070
19
D Dugger , Combinatorial model
categories have presentations , Adv. Math. 164 (2001)
177 MR1870516
20
W G Dwyer ,
Transfer
maps for fibrations , Math. Proc. Cambridge Philos. Soc.
120 (1996) 221 MR1384465
21
W G Dwyer ,
D M Kan , Simplicial
localizations of categories , J. Pure Appl. Algebra 17
(1980) 267 MR579087
22
H Fausk , P Hu ,
J P May , Isomorphisms between left and
right adjoints , Theory Appl. Categ. 11 (2003) 107
MR1988072
23
D S Freed , C
Teleman , Relative quantum
field theory , Comm. Math. Phys. 326 (2014) 459 MR3165462
24
D S Freed , E
Witten , Anomalies in string
theory with D –branes ,
Asian J. Math. 3 (1999) 819 MR1797580
25
N Ganter , The elliptic Weyl
character formula , Compos. Math. 150 (2014) 1196
MR3230851
26
D Gepner , M
Groth , T Nikolaus , Universality of
multiplicative infinite loop space machines , Algebr.
Geom. Topol. 15 (2015) 3107 MR3450758
27
D Gepner , J
Kock , Univalence in locally
cartesian closed ∞ –categories , Forum Math. 29 (2017)
617 MR3641669
28
D Gepner , T
Lawson , Brauer groups and Galois cohomology of
commutative ring spectra , preprint (2016) arXiv:1607.01118
29
R Hartshorne ,
Residues and
duality , 20, Springer (1966) MR0222093
30
A Hirschowitz , C
Simpson , Descente pour les n –champs , preprint (1998) arXiv:math/9807049
31
M Hovey , Spectra and
symmetric spectra in general model categories , J. Pure
Appl. Algebra 165 (2001) 63 MR1860878
32
P Hu , Duality for
smooth families in equivariant stable homotopy theory , 285,
Soc. Math. France (2003) MR2012798
33
T Johnson-Freyd , C
Scheimbauer , (Op)lax natural
transformations, twisted quantum field theories, and “even
higher” Morita categories , Adv. Math. 307 (2017) 147
MR3590516
34
A Joyal , Quasi-categories
and Kan complexes , J. Pure Appl. Algebra 175 (2002) 207
MR1935979
35
L G Lewis Jr. ,
J P May , M Steinberger , J E
McClure , Equivariant stable
homotopy theory , 1213, Springer (1986) MR866482
36
J Lurie , Higher topos
theory , 170, Princeton Univ. Press (2009) MR2522659
37
J Lurie , Higher
algebra , book project (2012)
38
M A Mandell ,
J P May , Equivariant orthogonal
spectra and S –modules ,
755, Amer. Math. Soc. (2002) MR1922205
39
M A Mandell ,
J P May , S Schwede , B Shipley ,
Model
categories of diagram spectra , Proc. London Math. Soc.
82 (2001) 441 MR1806878
40
J P May ,
Picard
groups, Grothendieck rings, and Burnside rings of
categories , Adv. Math. 163 (2001) 1 MR1867201
41
J P May , J
Sigurdsson , Parametrized homotopy
theory , 132, Amer. Math. Soc. (2006) MR2271789
42
J W Milnor ,
J D Stasheff , Characteristic
classes , 76, Princeton Univ. Press (1974) MR0440554
43
R Minasian , G
Moore , K –theory and Ramond–Ramond charge , J.
High Energy Phys. (1997) MR1606278
44
C Rezk , A model for the
homotopy theory of homotopy theory , Trans. Amer. Math.
Soc. 353 (2001) 973 MR1804411
45
I Rosu , Equivariant elliptic
cohomology and rigidity , Amer. J. Math. 123 (2001) 647
MR1844573
46
S Stolz , P
Teichner , Supersymmetric
field theories and generalized cohomology , from:
"Mathematical foundations of quantum field theory and
perturbative string theory" (editors H Sati, U Schreiber),
Proc. Sympos. Pure Math. 83, Amer. Math. Soc. (2011) 279
MR2742432
47
Z Tamsamani , On
non-strict notions of n –category
and n –groupoid via multisimplicial
sets , preprint (1995) arXiv:math/9512006
48
V Voevodsky ,
Lectures on cross functors , preprint (2001)
49
B L Wang ,
Geometric cycles,
index theory and twisted K –homology , J. Noncommut. Geom. 2
(2008) 497 MR2438341
50
C Westerland ,
A higher
chromatic analogue of the image of J , Geom. Topol. 21 (2017) 1033
MR3626597
51
E Witten , Chern–Simons
gauge theory as a string theory , from: "The Floer
memorial volume" (editors H Hofer, C H Taubes, A
Weinstein, E Zehnder), Progr. Math. 133, Birkhäuser (1995) 637
MR1362846
52
E Witten , D –branes and K –theory , J. High Energy Phys. (1998)
MR1674715