Recent Issues
Volume 27, 2 issues
Volume 27
Issue 2, 417–821
Issue 1, 1–415
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
J F Adams ,
On
the groups J ( X ) , IV , Topology 5 (1966) 21 MR0198470
2
J F Adams ,
Stable homotopy and generalised homology , Univ. Chicago
Press (1974) MR0402720
3
J F Adams ,
Infinite loop spaces , 90, Princeton Univ. Press (1978)
MR505692
4
J F Adams ,
A S Harris , R M Switzer , Hopf algebras of
cooperations for real and complex K –theory , Proc. London Math. Soc. 23
(1971) 385 MR0293617
5
D W Anderson ,
L Hodgkin , The K –theory of Eilenberg–MacLane
complexes , Topology 7 (1968) 317 MR0231369
6
M Ando , M
Hopkins , C Rezk , Multiplicative
orientations of KO –theory and of
the spectrum of topological modular forms , preprint
(2010)
7
M F Atiyah ,
V K Patodi , I M Singer , Spectral asymmetry
and Riemannian geometry, I , Math. Proc. Cambridge
Philos. Soc. 77 (1975) 43 MR0397797
8
M F Atiyah ,
V K Patodi , I M Singer , Spectral asymmetry
and Riemannian geometry, II , Math. Proc. Cambridge
Philos. Soc. 78 (1975) 405 MR0397798
9
M F Atiyah ,
V K Patodi , I M Singer , Spectral asymmetry
and Riemannian geometry, III , Math. Proc.
Cambridge Philos. Soc. 79 (1976) 71 MR0397799
10
M F Atiyah ,
G B Segal , Equivariant
K –theory and completion ,
J. Differential Geometry 3 (1969) 1 MR0259946
11
M F Atiyah ,
I M Singer , The index of elliptic
operators, I , Ann. of Math. 87 (1968) 484 MR0236950
12
A Bahri , P
Gilkey , The eta
invariant, Pin c bordism, and equivariant Spin c
bordism for cyclic 2 –groups , Pacific J. Math. 128 (1987) 1
MR883375
13
A Bahri , P
Gilkey , Pin c
cobordism and equivariant Spin c
cobordism of cyclic 2 –groups , Proc. Amer. Math. Soc. 99
(1987) 380 MR870805
14
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
15
P Baum , R G
Douglas , K homology
and index theory , from: "Operator algebras and
applications, I" (editor R V Kadison), Proc. Sympos. Pure
Math. 38, Amer. Math. Soc. (1982) 117 MR679698
16
M Behrens , G
Laures , β –family congruences and the f –invariant , from: "New topological
contexts for Galois theory and algebraic geometry" (editors A
Baker, B Richter), Geom. Topol. Monogr. 16, Geom. Topol. Publ.
(2009) 9 MR2544384
17
N Berline , E
Getzler , M Vergne , Heat kernels and
Dirac operators , 298, Springer (1992) MR1215720
18
B Blackadar ,
K –theory for operator algebras , 5,
Cambridge Univ. Press (1998) MR1656031
19
J M Boardman ,
Stable
operations in generalized cohomology , from: "Handbook
of algebraic topology" (editor I M James), North-Holland
(1995) 585 MR1361899
20
A K Bousfield ,
The
localization of spectra with respect to homology ,
Topology 18 (1979) 257 MR551009
21
J L Brylinski ,
Loop
spaces, characteristic classes and geometric
quantization , 107, Birkhäuser (1993) MR1197353
22
U Bunke , A K –theoretic relative index theorem and
Callias-type Dirac operators , Math. Ann. 303 (1995) 241
MR1348799
23
U Bunke , Index theory, eta forms,
and Deligne cohomology , 928, Amer. Math. Soc. (2009)
MR2191484
24
U Bunke , N
Naumann , Secondary
invariants for string bordism and topological modular
forms , Bull. Sci. Math. 138 (2014) 912 MR3278648
25
U Bunke , T
Schick , Smooth K –theory , from: "From probability to
geometry, II" (editors X Dai, R Léandre, X Ma, W Zhang),
Astérisque 328, Soc. Math. France (2009) 45 MR2664467
26
U Bunke , T
Schick , Uniqueness of smooth
extensions of generalized cohomology theories , J.
Topol. 3 (2010) 110 MR2608479
27
D Crowley , S
Goette , Kreck–Stolz
invariants for quaternionic line bundles , Trans. Amer.
Math. Soc. 365 (2013) 3193 MR3034463
28
P Deligne , Cohomologie
étale (SGA 4 ) , 569,
Springer (1977) MR0463174
29
C Deninger , W
Singhof , The e –invariant and the spectrum of the Laplacian
for compact nilmanifolds covered by Heisenberg groups ,
Invent. Math. 78 (1984) 101 MR762355
30
H Donnelly ,
Spectral
geometry and invariants from differential topology ,
Bull. London Math. Soc. 7 (1975) 147 MR0372929
31
A Z Dymov ,
Homology spheres and
contractible compact manifolds , Izv. Akad. Nauk SSSR
Ser. Mat. 35 (1971) 72 MR0287549
32
D S Freed , M
Hopkins , On
Ramond–Ramond fields and K –theory , J. High Energy Phys. (2000)
MR1769477
33
D S Freed ,
R B Melrose , A mod k index theorem , Invent. Math. 107
(1992) 283 MR1144425
34
B I Gray ,
Spaces of the
same n –type, for all n , Topology 5 (1966) 241 MR0196743
35
F Hirzebruch , T
Berger , R Jung , Manifolds and
modular forms , E20, Friedr. Vieweg & Sohn (1992)
MR1189136
36
N Hitchin , Lectures
on special Lagrangian submanifolds , from: "Winter school on
mirror symmetry, vector bundles and Lagrangian submanifolds"
(editors C Vafa, S T Yau), AMS/IP Stud. Adv. Math. 23,
Amer. Math. Soc. (2001) 151 MR1876068
37
M J Hopkins ,
Algebraic
topology and modular forms , from: "Proceedings of the
International Congress of Mathematicians, I : Plenary
lectures and ceremonies" (editor T Li), Higher Ed. Press (2002)
291 MR1989190
38
M J Hopkins ,
I M Singer , Quadratic
functions in geometry, topology, and M-theory ,
J. Differential Geom. 70 (2005) 329 MR2192936
39
M A Hovey ,
v n –elements in ring spectra and
applications to bordism theory , Duke Math. J. 88 (1997)
327 MR1455523
40
M Hovey , The homotopy of
MString and MU ⟨ 6 ⟩ at large
primes , Algebr. Geom. Topol. 8 (2008) 2401 MR2465746
41
M A Hovey ,
D C Ravenel , The 7 –connected cobordism ring at p = 3 ,
Trans. Amer. Math. Soc. 347 (1995) 3473 MR1297530
42
J D S Jones ,
B W Westbury , Algebraic
K –theory, homology spheres, and
the η –invariant , Topology
34 (1995) 929 MR1362792
43
G G Kasparov ,
Equivariant
KK –theory and the Novikov
conjecture , Invent. Math. 91 (1988) 147 MR918241
44
M A Kervaire ,
J W Milnor , Groups of homotopy spheres,
I , Ann. of Math. 77 (1963) 504 MR0148075
45
M Kreck , S
Stolz , A
diffeomorphism classification of 7 –dimensional homogeneous Einstein manifolds
with SU (3) × SU (2) × U (1) –symmetry , Ann. of Math. 127 (1988)
373 MR932303
46
G Laures , The topological
q –expansion principle , PhD
thesis, Massachusetts Institute of Technology (1996) MR2716672
47
G Laures , On cobordism of
manifolds with corners , Trans. Amer. Math. Soc. 352
(2000) 5667 MR1781277
48
H B Lawson Jr. ,
M L Michelsohn , Spin geometry , 38, Princeton
Univ. Press (1989) MR1031992
49
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
50
E Y Miller , R
Lee , Some invariants
of spin manifolds , Topology Appl. 25 (1987) 301
MR889873
51
H R Miller ,
D C Ravenel , W S Wilson , Periodic phenomena in the
Adams–Novikov spectral sequence , Ann. of Math. 106
(1977) 469 MR0458423
52
M K Murray ,
An
introduction to bundle gerbes , from: "The many facets
of geometry" (editors O García-Prada, J P Bourguignon, S
Salamon), Oxford Univ. Press (2010) 237 MR2681698
53
D Quillen , Letter from Quillen to
Milnor on Im ( π i O
→ π i s
→ K i Z ) , from:
"Algebraic K–theory" (editor M R Stein), Lecture Notes in
Math. 551, Springer (1976) 182 MR0482758
54
D C Ravenel ,
Complex cobordism and stable homotopy groups of spheres ,
121, Academic Press (1986) MR860042
55
Y B Rudyak ,
On Thom
spectra, orientability, and cobordism , Springer (1998)
MR1627486
56
J A Seade , On
the η –function of the Dirac
operator on Γ ∖ S 3 ,
An. Inst. Mat. Univ. Nac. Autónoma México 21 (1981) 129
MR687857
57
J P Serre ,
Groupes
d’homotopie et classes de groupes abéliens , Ann. of
Math. 58 (1953) 258 MR0059548
58
A A Suslin ,
On
the K –theory of local
fields , J. Pure Appl. Algebra 34 (1984) 301 MR772065
59
M Völkl ,
Universal geometrizations and the intrinsic
eta-invariant , PhD thesis, Universität Regensburg
(2015)
60
K Waldorf , String
connections and Chern–Simons theory , Trans. Amer. Math.
Soc. 365 (2013) 4393 MR3055700