Volume 3, issue 1 (2003)

Download this article
For printing
Recent Issues

Volume 22
Issue 8, 3533–4008
Issue 7, 3059–3532
Issue 6, 2533–3057
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472

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
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
HKR-type invariants of 4–thickenings of 2–dimensional CW complexes

Ivelina Bobtcheva and Maria Grazia Messia

Algebraic & Geometric Topology 3 (2003) 33–87
Bibliography
1 J J Andrews, M L Curtis, Free groups and handlebodies, Proc. Amer. Math. Soc. 16 (1965) 192 MR0173241
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 MR1701675
3 S Garoufalidis, On some aspects of Chern–Simons gauge theory, PhD thesis, University of Chicago (1992)
4 S Gelfand, D Kazhdan, Examples of tensor categories, Invent. Math. 109 (1992) 595 MR1176207
5 M Hennings, Invariants of links and 3–manifolds obtained from Hopf algebras, J. London Math. Soc. $(2)$ 54 (1996) 594 MR1413901
6 C Hog-Angeloni, W Metzler, A J Sieradski, Two-dimensional homotopy and combinatorial group theory, London Mathematical Society Lecture Note Series 197, Cambridge University Press (1993) MR1279174
7 T Kerler, Genealogy of nonperturbative quantum invariants of 3–manifolds — the surgical family arXiv:q-alg/9601021
8 T Kerler, Mapping class group actions on quantum doubles, Comm. Math. Phys. 168 (1995) 353 MR1324402
9 T Kerler, V V Lyubashenko, Non-semisimple topological quantum field theories for 3–manifolds with corners, Lecture Notes in Mathematics 1765, Springer (2001) MR1862634
10 L H Kauffman, D E Radford, Invariants of 3–manifolds derived from finite-dimensional Hopf algebras, J. Knot Theory Ramifications 4 (1995) 131 MR1321293
11 L H Kauffman, D Radford, S Sawin, Centrality and the KRH invariant, J. Knot Theory Ramifications 7 (1998) 571 MR1637585
12 R C Kirby, The topology of 4–manifolds, Lecture Notes in Mathematics 1374, Springer (1989) MR1001966
13 R E Gompf, A I Stipsicz, 4–manifolds and Kirby calculus, Graduate Studies in Mathematics 20, American Mathematical Society (1999) MR1707327
14 K Mueller, Probleme des einfachen Homotopietyps in niederen Dimensionen und ihre Behandlung mit Hilfsmitteln der topologischen Quantenfeldtheorie, dissertation, Johann Wolfgang Goethe Universitat (2000)
15 G Lusztig, Introduction to quantum groups, Progress in Mathematics 110, Birkhäuser (1993) MR1227098
16 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 MR1338394
17 F Quinn, Dual 2–complexes in 4–manifolds arXiv:math.GT/0009234
18 D E Radford, The order of the antipode of a finite dimensional Hopf algebra is finite, Amer. J. Math. 98 (1976) 333 MR0407069
19 D E Radford, The trace function and Hopf algebras, J. Algebra 163 (1994) 583 MR1265853
20 N Reshetikhin, V G Turaev, Invariants of 3–manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991) 547 MR1091619
21 M C Shum, Tortile tensor categories, J. Pure Appl. Algebra 93 (1994) 57 MR1268782
22 M E Sweedler, Hopf algebras, Mathematics Lecture Note Series, W. A. Benjamin, New York (1969) MR0252485
23 K Walker, On Witten's 3–manifold invariants, preprint (1991)