Recent Issues
Volume 26, 1 issue
Volume 25, 9 issues
Volume 25
Issue 9, 5175–5754
Issue 8, 4437–5174
Issue 7, 3789–4436
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644
Volume 24, 9 issues
Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
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
A Asok , M
Hoyois , M Wendt , Affine
representability results in 𝔸 1 -homotopy theory, I : Vector
bundles , Duke Math. J. 166 (2017) 1923 MR3679884
2
A Asok , M
Hoyois , M Wendt , Affine
representability results in 𝔸 1 -homotopy theory, II : Principal bundles
and homogeneous spaces , Geom. Topol. 22 (2018) 1181
MR3748687
3
M F Atiyah ,
Bott
periodicity and the index of elliptic operators , Quart.
J. Math. Oxford Ser. 19 (1968) 113 MR228000
4
M F Atiyah ,
G B Segal , Equivariant
K -theory and completion ,
J. Differential Geometry 3 (1969) 1 MR259946
5
J Ayoub , Les six
opérations de Grothendieck et le formalisme des cycles
évanescents dans le monde motivique, II , 315, Soc. Math.
France (2007) MR2438151
6
A Białynicki-Birula ,
Some theorems on
actions of algebraic groups , Ann. of Math. 98 (1973)
480 MR366940
7
N Bourbaki ,
Groupes
et algèbres de Lie, Chapitres 4–6 , 1349, Hermann (1972)
320 MR0573068
8
N Bourbaki , Lie
groups and Lie algebras, Chapters 7–9 , Springer (2005)
MR2109105
9
T Bröcker , T tom
Dieck , Representations of compact Lie groups , 98,
Springer (1995) MR1410059
10
B Calmès , J
Fasel , Groupes classiques , from: "Autours des
schémas en groupes, II" (editors B Edixhoven, P Gille, G
Prasad, P Polo), Panor. Synthèses 46, Soc. Math. France (2015)
1 MR3525594
11
B Calmès , J
Hornbostel , Witt
motives, transfers and reductive groups , preprint
(2005)
12
G Carlsson , R
Joshua , Equivariant
algebraic K-theory, G-theory and derived completions ,
Adv. Math. 430 (2023) 109194 MR4616516
13
B Conrad , Reductive
group schemes , from: "Autour des schémas en groupes, I",
Panor. Synthèses 42/43, Soc. Math. France (2014) 93 MR3362641
14
A Delzant ,
Définition des classes de Stiefel–Whitney d’un module
quadratique sur un corps de caractéristique différente de
2 , C. R. Acad. Sci. Paris 255
(1962) 1366 MR142606
15
D Dugger , S
Hollander , D C Isaksen , Hypercovers and
simplicial presheaves , Math. Proc. Cambridge Philos.
Soc. 136 (2004) 9 MR2034012
16
D Eisenbud ,
Commutative
algebra: with a view toward algebraic geometry , 150,
Springer (1995) MR1322960
17
J Fasel , O
Haution , The stable Adams
operations on Hermitian K -theory , Geom. Topol. 29 (2025) 127
MR4846639
18
A Grothendieck ,
Torsion homologique
et sections rationnelles , (1958) MR0110704
19
J Hornbostel , M
Wendt , Chow–Witt rings of
classifying spaces for symplectic and special linear
groups , J. Topol. 12 (2019) 916 MR4072161
20
M Hoyois , The six operations
in equivariant motivic homotopy theory , Adv. Math. 305
(2017) 197 MR3570135
21
M Hoyois , Cdh descent in equivariant
homotopy K -theory , Doc.
Math. 25 (2020) 457 MR4124487
22
J E Humphreys ,
Linear algebraic groups , 21, Springer (1975) MR396773
23
M Huruguen ,
Special
reductive groups over an arbitrary field , Transform.
Groups 21 (2016) 1079 MR3569568
24
J C Jantzen ,
Representations of algebraic groups , 107, Amer. Math.
Soc. (2003) MR2015057
25
N A Karpenko ,
A S Merkurjev , Chow filtration on
representation rings of algebraic groups , Int. Math.
Res. Not. 2021 (2021) 6691 MR4251288
26
A Knizel , A
Neshitov , Algebraic
analogue of the Atiyah completion theorem , Homology
Homotopy Appl. 16 (2014) 289 MR3272305
27
A Krishna , Equivariant cobordism of
schemes , Doc. Math. 17 (2012) 95 MR2889745
28
A Krishna , C
Ravi , Algebraic K -theory of quotient stacks , Ann.
K-Theory 3 (2018) 207 MR3781427
29
A Merkurjev ,
Classification of
special reductive groups , Michigan Math. J. 72 (2022)
529 MR4460262
30
F Morel , V
Voevodsky , 𝔸 1 -homotopy theory of schemes ,
Inst. Hautes Études Sci. Publ. Math. 90 (1999) 45 MR1813224
31
T Nikolaus , U
Schreiber , D Stevenson , Principal
∞ -bundles : general
theory , J. Homotopy Relat. Struct. 10 (2015) 749
MR3423073
32
I Panin , C
Walter , On
the motivic commutative ring spectrum 𝔹𝕆 , Algebra i Analiz 30 (2018) 43
MR3882540
33
I Panin , C
Walter , Quaternionic Grassmannians
and Borel classes in algebraic geometry , Algebra i
Analiz 33 (2021) 97 MR4219508
34
I Panin , C
Walter , On
the algebraic cobordism spectra MSL and MSp , St. Petersburg Math. J. 34 (2023)
109 MR4528766
35
Z Reichstein , D
Tossici , Special groups, versality and
the Grothendieck–Serre conjecture , Doc. Math. 25 (2020)
171 MR4106889
36
C Rezk , A Cartesian
presentation of weak n -categories , Geom. Topol. 14 (2010)
521 MR2578310
37
H Rohrbach ,
On
Atiyah–Segal completion for Hermitian K-theory , PhD
thesis, Bergische Universität Wuppertal (2021)
38
H Rohrbach , On
Atiyah–Segal completion for T-equivariant Hermitian
K-theory , preprint (2022) arXiv:2203.15518
39
H Rohrbach ,
The
projective bundle formula for Grothendieck–Witt
spectra , J. Pure Appl. Algebra 226 (2022) 106917
MR4328648
40
H Rohrbach ,
Hermitian K-theory of Grassmannians , preprint (2023)
arXiv:2309.14896
41
M Schlichting ,
G S Tripathi , Geometric models
for higher Grothendieck–Witt groups in 𝔸 1 -homotopy theory , Math. Ann. 362
(2015) 1143 MR3368095
42
J P Serre ,
Espaces fibrés
algébriques , Séminaire Claude Chevalley 3 (1958) 1
43
J P Serre ,
Groupes de
Grothendieck des schémas en groupes réductifs déployés ,
Inst. Hautes Études Sci. Publ. Math. 34 (1968) 37 MR231831
44
, Stacks project
(2018)
45
G Tabuada , M Van
den Bergh , Motivic Atiyah–Segal
completion theorem , Int. Math. Res. Not. 2024 (2024)
3497 MR4707290
46
R W Thomason ,
Comparison of
equivariant algebraic and topological K -theory , Duke Math. J. 53 (1986) 795
MR860673
47
B Totaro , The Chow ring of a
classifying space , from: "Algebraic K -theory", Proc. Sympos. Pure Math. 67, Amer.
Math. Soc. (1999) 249 MR1743244
48
M Zibrowius ,
Witt
groups of curves and surfaces , Math. Z. 278 (2014) 191
MR3267576
49
M Zibrowius ,
Symmetric
representation rings are λ -rings , New York J. Math. 21 (2015)
1055 MR3425635