Volume 4, issue 1 (2004)

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

Volume 26
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

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
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Gerbes and homotopy quantum field theories

Ulrich Bunke, Paul Turner and Simon Willerton

Algebraic & Geometric Topology 4 (2004) 407–437
Bibliography
1 J W Barrett, Holonomy and path structures in general relativity and Yang–Mills theory, Internat. J. Theoret. Phys. 30 (1991) 1171 MR1122025
2 F Borceux, Handbook of categorical algebra 2, Encyclopedia of Mathematics and its Applications 51, Cambridge University Press (1994) MR1313497
3 M Brightwell, P Turner, Representations of the homotopy surface category of a simply connected space, J. Knot Theory Ramifications 9 (2000) 855 MR1780591
4 J L Brylinski, Loop spaces, characteristic classes and geometric quantization, Progress in Mathematics 107, Birkhäuser (1993) MR1197353
5 A Caetano, R F Picken, An axiomatic definition of holonomy, Internat. J. Math. 5 (1994) 835 MR1298997
6 D Chatterjee, On the construction of abelian gerbs, PhD thesis, University of Cambridge (1998)
7 J Cheeger, J Simons, Differential characters and geometric invariants, from: "Geometry and topology (College Park, Md., 1983/84)", Lecture Notes in Math. 1167, Springer (1985) 50 MR827262
8 D S Freed, Quantum groups from path integrals, from: "Particles and fields (Banff, AB, 1994)", CRM Ser. Math. Phys., Springer (1999) 63 MR1668134
9 D S Freed, Higher algebraic structures and quantization, Comm. Math. Phys. 159 (1994) 343 MR1256993
10 P Gajer, Geometry of Deligne cohomology, Invent. Math. 127 (1997) 155 MR1423029
11 N Hitchin, Lectures on special Lagrangian submanifolds, from: "Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds (Cambridge, MA, 1999)", AMS/IP Stud. Adv. Math. 23, Amer. Math. Soc. (2001) 151 MR1876068
12 M Mackaay, R Picken, Holonomy and parallel transport for abelian gerbes, Adv. Math. 170 (2002) 287 MR1932333
13 J Milnor, Lectures on the $h$–cobordism theorem, Notes by L. Siebenmann and J. Sondow, Princeton University Press (1965) MR0190942
14 M K Murray, Bundle gerbes, J. London Math. Soc. $(2)$ 54 (1996) 403 MR1405064
15 G Rodrigues, Homotopy quantum field theories and the homotopy cobordism category in dimension $1+1$, J. Knot Theory Ramifications 12 (2003) 287 MR1983087
16 G Segal, Elliptic cohomology (after Landweber–Stong, Ochanine, Witten, and others), Astérisque (1988) 4 MR992209
17 G Segal, Topological structures in string theory, R. Soc. Lond. Philos. Trans. Ser. A Math. Phys. Eng. Sci. 359 (2001) 1389 MR1853627
18 R M Switzer, Algebraic topology—homotopy and homology, Classics in Mathematics, Springer (2002) MR1886843
19 V Turaev, Homotopy field theory in dimension 2 and group-algebras arXiv:math.QA/9910010
20 P Turner, A functorial approach to differential characters, Algebr. Geom. Topol. 4 (2004) 81 MR2031913