Volume 8, issue 3 (2008)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
The twisted Drinfeld double of a finite group via gerbes and finite groupoids

Simon Willerton

Algebraic & Geometric Topology 8 (2008) 1419–1457
Bibliography
1 D Altschüler, A Coste, Quasi-quantum groups, knots, three-manifolds, and topological field theory, Comm. Math. Phys. 150 (1992) 83 MR1188498
2 D Altschüler, A Coste, J M Maillard, Representation theory of twisted group double, Ann. Fond. Louis de Broglie 29 (2004) 681 MR2146291
3 B H Bartlett, S Willerton, work in progress
4 D J Benson, Representations and cohomology. II. Cohomology of groups and modules, Cambridge Studies in Advanced Math. 31, Cambridge University Press (1991) MR1156302
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 R Dijkgraaf, V Pasquier, P Roche, Quasi Hopf algebras, group cohomology and orbifold models, Nuclear Phys. B Proc. Suppl. 18B (1990) MR1128130
7 R Dijkgraaf, E Witten, Topological gauge theories and group cohomology, Comm. Math. Phys. 129 (1990) 393 MR1048699
8 D S Freed, Higher algebraic structures and quantization, Comm. Math. Phys. 159 (1994) 343 MR1256993
9 D S Freed, F Quinn, Chern–Simons theory with finite gauge group, Comm. Math. Phys. 156 (1993) 435 MR1240583
10 P Gajer, Geometry of Deligne cohomology, Invent. Math. 127 (1997) 155 MR1423029
11 K Gomi, Y Terashima, A fiber integration formula for the smooth Deligne cohomology, Internat. Math. Res. Notices (2000) 699 MR1772521
12 G Karpilovsky, Projective representations of finite groups, Monographs and Textbooks in Pure and Applied Math. 94, Marcel Dekker (1985) MR788161
13 E Lupercio, B Uribe, Loop groupoids, gerbes, and twisted sectors on orbifolds, from: "Orbifolds in mathematics and physics (Madison, WI, 2001)", Contemp. Math. 310, Amer. Math. Soc. (2002) 163 MR1950946
14 E Lupercio, B Uribe, Gerbes over orbifolds and twisted $K$–theory, Comm. Math. Phys. 245 (2004) 449 MR2045679
15 E Lupercio, B Uribe, Inertia orbifolds, configuration spaces and the ghost loop space, Q. J. Math. 55 (2004) 185 MR2068317
16 E Lupercio, B Uribe, Holonomy for gerbes over orbifolds, J. Geom. Phys. 56 (2006) 1534 MR2240409
17 E Lupercio, B Uribe, M A Xicotencatl, Orbifold string topology, Geom. Topol. 12 (2008)
18 R J Milgram, The bar construction and abelian $H$–spaces, Illinois J. Math. 11 (1967) 242 MR0208595
19 N P Strickland, $K(N)$–local duality for finite groups and groupoids, Topology 39 (2000) 733 MR1760427