Recent Issues
Volume 22, 6 issues
Volume 22
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
Bigerbes
Chris Kottke and Richard Melrose
Algebraic & Geometric Topology 21 (2021) 3335–3399
1
M F Atiyah ,
Circular
symmetry and stationary-phase approximation , from:
"Colloquium in honor of Laurent Schwartz, I" (editors M R
Herman, B Teissier), Astérisque 131, Soc. Math. France (1985)
43 MR816738
2
J C Baez , D
Stevenson , A S Crans , U Schreiber ,
From
loop groups to 2 –groups ,
Homology Homotopy Appl. 9 (2007) 101 MR2366945
3
L Breen , On the
classification of 2 –gerbes and
2 –stacks , 225, Soc. Math.
France (1994) 160 MR1301844
4
J L Brylinski ,
Loop
spaces, characteristic classes and geometric
quantization , 107, Birkhäuser (1993) MR1197353
5
J L Brylinski ,
D A McLaughlin , The geometry of
degree-four characteristic classes and of line bundles on loop
spaces, I , Duke Math. J. 75 (1994) 603 MR1291698
6
A L Carey , S
Johnson , M K Murray , D Stevenson ,
B L Wang , Bundle gerbes for
Chern–Simons and Wess–Zumino–Witten theories , Comm.
Math. Phys. 259 (2005) 577 MR2174418
7
E M Friedlander ,
Étale
homotopy of simplicial schemes , 104, Princeton Univ.
Press (1982) MR676809
8
J Giraud , Cohomologie non
abélienne , 179, Springer (1971) MR0344253
9
S Johnson ,
Constructions with bundle gerbes , PhD thesis, University
of Adelaide (2002) arXiv:math/0312175
10
T P Killingback ,
World-sheet
anomalies and loop geometry , Nuclear Phys. B 288 (1987)
578 MR892061
11
C Kottke , R
Melrose , Equivalence of string and fusion loop-spin
structures , preprint (2013) arXiv:1309.0210
12
C Kottke , R B
Melrose , Loop-fusion
cohomology and transgression , Math. Res. Lett. 22
(2015) 1177 MR3391882
13
S Mac Lane ,
Categories
for the working mathematician , 5, Springer (1971)
MR0354798
14
V Mathai , R B
Melrose , I M Singer , The index of
projective families of elliptic operators: the decomposable
case , from: "From probability to geometry, II" (editors
D Xianzhe, L Rémi, X Ma, Z Weiping), Astérisque 328, Soc. Math.
France (2009) 255 MR2674880
15
D A McLaughlin ,
Orientation and
string structures on loop space , Pacific J. Math. 155
(1992) 143 MR1174481
16
M K Murray ,
Bundle
gerbes , J. Lond. Math. Soc. 54 (1996) 403 MR1405064
17
M K Murray , D
Stevenson , Bundle gerbes:
stable isomorphism and local theory , J. Lond. Math.
Soc. 62 (2000) 925 MR1794295
18
K Pilch , N P
Warner , String structures and the
index of the Dirac–Ramond operator on orbifolds , Comm.
Math. Phys. 115 (1988) 191 MR931661
19
A Pressley , G
Segal , Loop groups , Oxford Univ. Press (1986)
MR900587
20
C Redden , String structures
and canonical 3 –forms ,
Pacific J. Math. 249 (2011) 447 MR2782680
21
C J
Schommer-Pries , Central extensions of
smooth 2 –groups and a
finite-dimensional string 2 –group , Geom. Topol. 15 (2011) 609
MR2800361
22
D Stevenson ,
Bundle
2 –gerbes , Proc. Lond. Math.
Soc. 88 (2004) 405 MR2032513
23
S Stolz , A conjecture concerning
positive Ricci curvature and the Witten genus , Math.
Ann. 304 (1996) 785 MR1380455
24
S Stolz , P
Teichner , What is an
elliptic object? , from: "Topology, geometry and quantum
field theory" (editor U Tillmann), Lond. Math. Soc. Lect. Note
Ser. 308, Cambridge Univ. Press (2004) 247 MR2079378
25
S Stolz , P
Teichner ,
The spinor bundle on loop space , preprint (2005)
26
K Waldorf , More
morphisms between bundle gerbes , Theory Appl. Categ. 18
(2007) 240 MR2318389
27
K Waldorf , Transgression to
loop spaces and its inverse, III : Gerbes and thin fusion
bundles , Adv. Math. 231 (2012) 3445 MR2980505
28
K Waldorf , String
connections and Chern–Simons theory , Trans. Amer. Math.
Soc. 365 (2013) 4393 MR3055700
29
K Waldorf , Spin structures on
loop spaces that characterize string manifolds , Algebr.
Geom. Topol. 16 (2016) 675 MR3493404