Recent Issues
Volume 24, 1 issue
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
B Bakalov , A
Kirillov Jr. , On the Lego–Teichmüller
game , Transform. Groups 5 (2000) 207 MR1780935
2
B Bakalov , A
Kirillov Jr. , Lectures on tensor
categories and modular functors , 21, Amer. Math. Soc.
(2001) MR1797619
3
B Bartlett ,
C L Douglas , C J Schommer-Pries , J
Vicary , Modular categories as representations of the
3 –dimensional bordism 2 –category , preprint (2015) arXiv:1509.06811
4
C Berger , I
Moerdijk , The Boardman–Vogt
resolution of operads in monoidal model categories ,
Topology 45 (2006) 807 MR2248514
5
C Cibils , M J
Redondo , Cartan–Leray
spectral sequence for Galois coverings of linear
categories , J. Algebra 284 (2005) 310 MR2115017
6
R Dijkgraaf , E
Witten , Topological gauge theories
and group cohomology , Comm. Math. Phys. 129 (1990) 393
MR1048699
7
C L Douglas , C
Schommer-Pries , N Snyder , The balanced
tensor product of module categories , Kyoto J. Math. 59
(2019) 167 MR3934626
8
P Etingof , S
Gelaki , D Nikshych , V Ostrik , Tensor categories ,
205, Amer. Math. Soc. (2015) MR3242743
9
P Etingof , V
Ostrik , Finite
tensor categories , Mosc. Math. J. 4 (2004) 627 MR2119143
10
D S Freed , F
Quinn , Chern–Simons theory with
finite gauge group , Comm. Math. Phys. 156 (1993) 435
MR1240583
11
B Fresse , Homotopy of operads and
Grothendieck–Teichmüller groups, I : The algebraic theory and
its topological background , 217, Amer. Math. Soc.
(2017) MR3643404
12
J Fuchs , C
Schweigert , Coends in conformal
field theory , from: "Lie algebras, vertex operator
algebras, and related topics" (editors K Barron, E Jurisich, A
Milas, K Misra), Contemp. Math. 695, Amer. Math. Soc. (2017) 65
MR3709706
13
J Fuchs , C
Schweigert , A Valentino , Bicategories for
boundary conditions and for surface defects in 3 –d TFT , Comm. Math. Phys. 321 (2013)
543 MR3063919
14
C Galindo , Coherence for
monoidal G –categories and braided
G –crossed categories , J.
Algebra 487 (2017) 118 MR3671186
15
N Geer , J
Kujawa , B Patureau-Mirand , M –traces in (non-unimodular) pivotal
categories , Algebr. Represent. Theory (2021)
16
S Gelaki , D
Naidu , D Nikshych , Centers of graded
fusion categories , Algebra Number Theory 3 (2009) 959
MR2587410
17
P G Goerss ,
J F Jardine , Simplicial homotopy
theory , 174, Birkhäuser (1999) MR1711612
18
P S Hirschhorn ,
Model categories
and their localizations , 99, Amer. Math. Soc. (2003)
MR1944041
19
E Hoefel ,
OCHA and the Swiss-cheese operad , J. Homotopy Relat.
Struct. 4 (2009) 123 MR2520990
20
G Horel , Factorization homology
and calculus à la Kontsevich Soibelman , J. Noncommut.
Geom. 11 (2017) 703 MR3669116
21
Y Z Huang ,
Rigidity
and modularity of vertex tensor categories , Commun.
Contemp. Math. 10 (2008) 871 MR2468370
22
N Idrissi , Swiss-cheese operad
and Drinfeld center , Israel J. Math. 221 (2017) 941
MR3704940
23
B Iversen , Cohomology of
sheaves , Springer (1986) MR842190
24
H Kajiura , J
Stasheff , Homotopy algebras
inspired by classical open-closed string field theory ,
Comm. Math. Phys. 263 (2006) 553 MR2211816
25
C Kassel , Quantum
groups , 155, Springer (1995) MR1321145
26
B Keller , On the cyclic
homology of exact categories , J. Pure Appl. Algebra 136
(1999) 1 MR1667558
27
T Kerler , V V
Lyubashenko , Non-semisimple topological
quantum field theories for 3 –manifolds with corners , 1765,
Springer (2001) MR1862634
28
A Kirillov Jr , On
G –equivariant modular
categories , preprint (2004) arXiv:math/0401119
29
S Lentner , S N
Mierach , C Schweigert , Y Sommerhäuser ,
Hochschild
cohomology and the modular group , J. Algebra 507 (2018)
400 MR3807053
30
S Lentner , S N
Mierach , C Schweigert , Y Sommerhäuser ,
Hochschild cohomology, modular tensor categories, and
mapping class groups , (2020) arXiv:2003.06527
31
V V Lyubashenko ,
Invariants of
3 –manifolds and projective
representations of mapping class groups via quantum groups at
roots of unity , Comm. Math. Phys. 172 (1995) 467
MR1354257
32
V Lyubashenko ,
Modular
transformations for tensor categories , J. Pure Appl.
Algebra 98 (1995) 279 MR1324034
33
V Lyubashenko ,
Ribbon
abelian categories as modular categories , J. Knot
Theory Ramifications 5 (1996) 311 MR1405715
34
V Lyubashenko , S
Majid , Braided groups and
quantum Fourier transform , J. Algebra 166 (1994) 506
MR1280590
35
S Mac Lane ,
Categories
for the working mathematician , 5, Springer (1971)
MR0354798
36
J Maier , T
Nikolaus , C Schweigert , Equivariant
modular categories via Dijkgraaf–Witten theory , Adv.
Theor. Math. Phys. 16 (2012) 289 MR3019407
37
R McCarthy ,
The
cyclic homology of an exact category , J. Pure Appl.
Algebra 93 (1994) 251 MR1275967
38
M Müger , Galois
extensions of braided tensor categories and braided crossed
G –categories , J. Algebra
277 (2004) 256 MR2059630
39
L Müller , L
Woike , Equivariant higher
Hochschild homology and topological field theories ,
Homology Homotopy Appl. 22 (2020) 27 MR4013454
40
L Müller , L
Woike , The little bundles
operad , Algebr. Geom. Topol. 20 (2020) 2029 MR4127089
41
N Y Reshetikhin ,
V G Turaev , Ribbon graphs and their
invariants derived from quantum groups , Comm. Math.
Phys. 127 (1990) 1 MR1036112
42
N Reshetikhin ,
V G Turaev , Invariants of 3 –manifolds via link polynomials and quantum
groups , Invent. Math. 103 (1991) 547 MR1091619
43
E Riehl , Categorical homotopy
theory , 24, Cambridge Univ. Press (2014) MR3221774
44
E Riehl , Homotopy
coherent structures , lecture notes (2018) arXiv:1801.07404
45
P Salvatore , N
Wahl , Framed discs operads
and Batalin–Vilkovisky algebras , Q. J. Math. 54 (2003)
213 MR1989873
46
C Schweigert , L
Woike , Extended homotopy
quantum field theories and their orbifoldization , J.
Pure Appl. Algebra 224 (2020) MR4021927
47
K Shimizu , Non-degeneracy
conditions for braided finite tensor categories , Adv.
Math. 355 (2019) MR3996323
48
K Shimizu , Further results on
the structure of (co)ends in finite tensor categories ,
Appl. Categ. Structures 28 (2020) 237 MR4077241
49
M Shulman , Homotopy
limits and colimits and enriched homotopy theory , preprint
(2006) arXiv:math/0610194
50
Y Sommerhäuser , Y
Zhu , Hopf algebras
and congruence subgroups , 1028, Amer. Math. Soc. (2012)
MR2985696
51
V G Turaev ,
Quantum
invariants of knots and 3 –manifolds , 18, de Gruyter (1994)
MR1292673
52
V Turaev , Homotopy
field theory in dimension 3 and
crossed group-categories , preprint (2000) arXiv:math/0005291
53
V Turaev , Homotopy quantum field
theory , 10, Eur. Math. Soc. (2010) MR2674592
54
V Turaev , A
Virelizier , On 3 –dimensional homotopy quantum field theory,
I , Int. J. Math. 23 (2012) MR2959440
55
V Turaev , A
Virelizier , On 3 –dimensional homotopy quantum field theory, II
: The surgery approach , Int. J. Math. 25 (2014)
MR3195545
56
A A Voronov ,
The
Swiss-cheese operad , from: "Homotopy invariant
algebraic structures" (editors J P Meyer, J Morava,
W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999)
365 MR1718089
57
C A Weibel ,
An
introduction to homological algebra , 38, Cambridge
Univ. Press (1994) MR1269324