Volume 2 (1999)

Download this article
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
All Volumes
 
About this Series
Ethics Statement
Purchase Printed Copies
Author Index
ISSN 1464-8997 (online)
ISSN 1464-8989 (print)
 
MSP Books and Monographs
Other MSP Publications

Group categories and their field theories

Frank Quinn

Geometry & Topology Monographs 2 (1999) 407–453

DOI: 10.2140/gtm.1999.2.407

Bibliography
1 C Balteany, Z Fiedorowicz, R Schwänzl, R Vogt, Iterated monoidal categories, preprint (1998)
2 I Bobtcheva, On Quinn's invariants of 2–dimensional CW–complexes, from: "Low-dimensional topology (Funchal, 1998)", Contemp. Math. 233, Amer. Math. Soc. (1999) 69–96 MR1701675
3 I Bobtcheva, F Quinn, Numerical presentations of tortile categories, from: "Low-dimensional topology (Funchal, 1998)", Contemp. Math. 233, Amer. Math. Soc. (1999) 45–67 MR1701674
4 J S Carter, D E Flath, M Saito, The classical and quantum 6j–symbols, Mathematical Notes 43, Princeton University Press (1995) MR1366832
5 R Dijkgraaf, E Witten, Topological gauge theories and group cohomology, Comm. Math. Phys. 129 (1990) 393–429 MR1048699
6 Z Fiedorowicz, The symmetric bar construction, preprint
7 D S Freed, F Quinn, Chern–Simons theory with finite gauge group, Comm. Math. Phys. 156 (1993) 435–472 MR1240583
8 J Fröhlich, T Kerler, Quantum groups, quantum categories and quantum field theory, Lecture Notes in Mathematics 1542, Springer (1993) MR1239440
9 S Gelfand, D Kazhdan, Examples of tensor categories, Invent. Math. 109 (1992) 595–617 MR1176207
10 C Kassel, Quantum groups, Graduate Texts in Mathematics 155, Springer (1995) MR1321145
11 T Kerler, Genealogy of non-perturbative quantum-invariants of 3–manifolds: the surgical family, from: "Geometry and physics (Aarhus, 1995)", Lecture Notes in Pure and Appl. Math. 184, Dekker (1997) 503–547 MR1423190
12 R Kirby, A calculus for framed links in S3, Invent. Math. 45 (1978) 35–56 MR0467753
13 G Kuperberg, Spiders for rank 2 Lie algebras, Comm. Math. Phys. 180 (1996) 109–151 MR1403861
14 G Lusztig, Introduction to quantum groups, Progress in Mathematics 110, Birkhäuser (1993) MR1227098
15 S MacLane, Categories for the working mathematician, Graduate Texts in Mathematics 5, Springer (1971) MR0354798
16 S Majid, Representations, duals and quantum doubles of monoidal categories, from: "Proceedings of the Winter School on Geometry and Physics (Srní, 1990)" (1991) 197–206 MR1151906
17 F Quinn, Lectures on axiomatic topological quantum field theory, from: "Geometry and quantum field theory (Park City, UT, 1991)", IAS/Park City Math. Ser. 1, Amer. Math. Soc. (1995) 323–453 MR1338394
18 F Quinn, Quantum Topology Project
19 N Reshetikhin, V G Turaev, Invariants of 3–manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991) 547–597 MR1091619
20 S Sawin, Links, quantum groups and TQFTs, Bull. Amer. Math. Soc. (N.S.) 33 (1996) 413–445 MR1388838
21 M C Shum, Tortile tensor categories, J. Pure Appl. Algebra 93 (1994) 57–110 MR1268782
22 V G Turaev, Quantum invariants of knots and 3–manifolds, de Gruyter Studies in Mathematics 18, Walter de Gruyter & Co. (1994) MR1292673
23 K Walker, On Witten's 3–manifold invariants, preprint (1991)
24 G W Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics 61, Springer (1978) MR516508
25 D N Yetter, Topological quantum field theories associated to finite groups and crossed G–sets, J. Knot Theory Ramifications 1 (1992) 1–20 MR1155090