Recent Issues
Volume 29, 1 issue
Volume 28, 9 issues
Volume 28
Issue 9, 3973–4381
Issue 8, 3511–3972
Issue 7, 3001–3510
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496
Volume 27, 9 issues
Volume 27
Issue 9, 3387–3831
Issue 8, 2937–3385
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
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
M Atiyah , Topological quantum field
theories , Inst. Hautes Études Sci. Publ. Math. 68
(1988) 175 MR1001453
2
J C Baez , J
Dolan , Higher-dimensional algebra
and topological quantum field theory , J. Math. Phys. 36
(1995) 6073 MR1355899
3
B Balsam , A
Kirillov Jr. , Turaev–Viro invariants as an extended
TQFT , preprint (2010) arXiv:1004.1533
4
J W Barrett ,
B W Westbury , Invariants of
piecewise-linear 3 –manifolds , Trans. Amer. Math. Soc.
348 (1996) 3997 MR1357878
5
J W Barrett ,
B W Westbury , Spherical
categories , Adv. Math. 143 (1999) 357 MR1686423
6
D Ben-Zvi , J
Francis , D Nadler , Integral
transforms and Drinfeld centers in derived algebraic
geometry , J. Amer. Math. Soc. 23 (2010) 909 MR2669705
7
D Ben-Zvi , S
Gunningham , Symmetries of categorical representations
and the quantum Ngô action , preprint (2017) arXiv:1712.01963
8
E H Brown Jr. ,
M Comenetz , Pontrjagin duality for
generalized homology and cohomology theories , Amer. J.
Math. 98 (1976) 1 MR405403
9
J Cardy , Scaling and
renormalization in statistical physics , 5, Cambridge
Univ. Press (1996) MR1446000
10
C Córdova , T T
Dumitrescu , K Intriligator , Exploring
2 –group global symmetries ,
J. High Energy Phys. (2019) MR3925280
11
O Davidovich ,
State sums in two dimensional fully extended topological field
theories , PhD thesis, University of Texas at Austin
(2011)
12
A Debray , The low-energy
TQFT of the generalized double semion model , Comm.
Math. Phys. 375 (2020) 1079 MR4083885
13
C L Douglas , C
Schommer-Pries , N Snyder , Dualizable tensor
categories , 1308, Amer. Math. Soc. (2020) MR4254952
14
P Etingof , S
Gelaki , D Nikshych , V Ostrik , Tensor categories ,
205, Amer. Math. Soc. (2015) MR3242743
15
D S Freed ,
Higher
algebraic structures and quantization , Comm. Math.
Phys. 159 (1994) 343 MR1256993
16
D S Freed ,
The cobordism
hypothesis , Bull. Amer. Math. Soc. 50 (2013) 57
MR2994995
17
D S Freed ,
Lectures on field
theory and topology , 133, Amer. Math. Soc. (2019)
MR3969923
18
D S Freed ,
M J Hopkins , Reflection positivity
and invertible topological phases , Geom. Topol. 25
(2021) 1165 MR4268163
19
D S Freed ,
M J Hopkins , J Lurie , C Teleman ,
Topological
quantum field theories from compact Lie groups , from:
"A celebration of the mathematical legacy of Raoul Bott"
(editor P R Kotiuga), CRM Proc. Lecture Notes 50, Amer.
Math. Soc. (2010) 367 MR2648901
20
D S Freed ,
M J Hopkins , C Teleman , Loop groups and twisted
K –theory, I , J. Topol. 4
(2011) 737 MR2860342
21
D S Freed , F
Quinn , Chern–Simons theory with
finite gauge group , Comm. Math. Phys. 156 (1993) 435
MR1240583
22
D S Freed , C
Teleman , Relative quantum
field theory , Comm. Math. Phys. 326 (2014) 459 MR3165462
23
D S Freed , C
Teleman , Gapped boundary
theories in three dimensions , Comm. Math. Phys. 388
(2021) 845 MR4334249
24
D Gaiotto , A
Kapustin , N Seiberg , B Willett , Generalized global
symmetries , J. High Energy Phys. 2015 (2015) MR3321281
25
T Hayashi , A
canonical Tannaka duality for finite semisimple tensor
categories , preprint (1999) arXiv:math/9904073
26
G ’t Hooft ,
On
the phase transition towards permanent quark
confinement , Nuclear Phys. B 138 (1978) 1 MR489444
27
C Itzykson ,
J M Drouffe , Statistical field
theory, I: From Brownian motion to renormalization and lattice
gauge theory , Cambridge Univ. Press (1989) MR1175176
28
T Johnson-Freyd , C
Scheimbauer , (Op)lax natural
transformations, twisted quantum field theories, and “even
higher” Morita categories , Adv. Math. 307 (2017) 147
MR3590516
29
A Kapustin , N
Seiberg , Coupling a QFT to a
TQFT and duality , J. High Energy Phys. 2014 (2014)
30
R G Larson ,
D E Radford , Finite-dimensional
cosemisimple Hopf algebras in characteristic 0 are semisimple , J. Algebra 117 (1988)
267 MR957441
31
C I Lazaroiu ,
On
the structure of open-closed topological field theory in two
dimensions , Nuclear Phys. B 603 (2001) 497 MR1839382
32
J Lurie ,
On the classification of topological field theories ,
from: "Current developments in mathematics, 2008" (editors D
Jerison, B Mazur, T Mrowka, W Schmid, R Stanley, S T Yau),
International (2009) 129 MR2555928
33
A Masuoka , Classification
of semisimple Hopf algebras , from: "Handbook of
algebra, V" (editor M Hazewinkel), Elsevier (2008) 429 MR2523456
34
G W Moore ,
G B Segal , D–branes
and K –theory in 2D topological
field theory , from: "Dirichlet branes and mirror
symmetry" (editors M R Douglas, M Gross), Clay Math.
Monogr. 4, Amer. Math. Soc. (2009) MR2567952
35
L Onsager , Crystal statistics, I
: A two-dimensional model with an order-disorder
transition , Phys. Rev. 65 (1944) 117 MR10315
36
V Ostrik , Module categories,
weak Hopf algebras and modular invariants , Transform.
Groups 8 (2003) 177 MR1976459
37
R Peirls , On Ising’s model of
ferromagnetism , Math. Proc. Cambridge Philos. Soc. 32
(1936) 477
38
F Quinn , Lectures on axiomatic
topological quantum field theory , from: "Geometry and
quantum field theory" (editors D S Freed, K K
Uhlenbeck), IAS/Park City Math. Ser. 1, Amer. Math. Soc. (1995)
323 MR1338394
39
G Segal ,
The definition of conformal field theory , from:
"Topology, geometry and quantum field theory" (editor U
Tillmann), Lond. Math. Soc. Lecture Note Ser. 308, Cambridge
Univ. Press (2004) 421 MR2079383
40
M E Sweedler ,
Hopf algebras , Benjamin (1969) MR0252485
41
C Teleman , Five lectures on
topological field theory , from: "Geometry and
quantization of moduli spaces" (editors L Álvarez-Cónsul,
J E Andersen, I Mundet i Riera), Birkhäuser (2016) 109
MR3675464
42
V Turaev , Homotopy quantum field
theory , 10, Eur. Math. Soc. (2010) MR2674592
43
V G Turaev ,
O Y Viro , State sum
invariants of 3 –manifolds and
quantum 6 j –symbols , Topology 31 (1992) 865
MR1191386
44
P Ševera , (Non)abelian
Kramers–Wannier duality and topological field theory ,
J. High Energy Phys. 2002 (2002) MR1915348
45
X G Wen ,
Topological orders
in rigid states , Int. J. Modern Phys. B 4 (1990) 239
MR1043302
46
J H C
Whitehead , On
C 1 –complexes , Ann. of Math. 41
(1940) 809 MR2545
47
K G Wilson ,
Confinement of
quarks , Phys. Rev. D 10 (1974) 2445
48
E Witten , Quantum field theory and
the Jones polynomial , Comm. Math. Phys. 121 (1989) 351
MR990772
49
E Witten , On S –duality in abelian gauge theory ,
Selecta Math. 1 (1995) 383 MR1354602
50
E Witten , Dynamics
of quantum field theory , from: "Quantum fields and strings:
a course for mathematicians, II" (editors P Deligne, P Etingof,
D S Freed, L C Jeffrey, D Kazhdan, J W Morgan,
D R Morrison, E Witten), Amer. Math. Soc. (1999) 1119
MR1701615