Algebraic & Geometric Topology Volume 8, issue 3 (2008)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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

DOI: 10.2140/agt.2008.8.1419

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