Volume 4 (2002)

Download this article
For screen
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
The Series
About the Series
Author Index
Subscriptions
Submission Guidelines
Author copyright form
Contacts
Geometry & Topology
G&T Publications
Management Committee
GTP Author Index

On the quantum sl2 invariants of knots and integral homology spheres

Kazuo Habiro

Geometry & Topology Monographs 4 (2002) 55–68

DOI: 10.2140/gtm.2002.4.55

Bibliography
1 D Bar-Natan, S Garoufalidis, On the Melvin–Morton–Rozansky conjecture, Invent. Math. 125 (1996) 103–133 MR1389962
2 K Habiro, in preparation
3 J Hoste, A formula for Casson's invariant, Trans. Amer. Math. Soc. 297 (1986) 547–562 MR854084
4 R M Kashaev, A link invariant from quantum dilogarithm, Modern Phys. Lett. A 10 (1995) 1409–1418 MR1341338
5 R Kirby, P Melvin, The 3–manifold invariants of Witten and Reshetikhin–Turaev for sl(2,C), Invent. Math. 105 (1991) 473–545 MR1117149
6 R J Lawrence, A universal link invariant, from: "The interface of mathematics and particle physics (Oxford, 1988)", Inst. Math. Appl. Conf. Ser. New Ser. 24, Oxford Univ. Press (1990) 151–156 MR1103138
7 R J Lawrence, Asymptotic expansions of Witten–Reshetikhin–Turaev invariants for some simple 3–manifolds, J. Math. Phys. 36 (1995) 6106–6129 MR1355900
8 R J Lawrence, Witten–Reshetikhin–Turaev invariants of 3–manifolds as holomorphic functions, from: "Geometry and physics (Aarhus, 1995)", Lecture Notes in Pure and Appl. Math. 184, Dekker (1997) 363–377 MR1423181
9 T T Q Lê, A quantum sl2–invariant of 3–manifolds which contains all the Witten–Reshetikhin–Turaev invariants, from: "Geometry and physics (Aarhus, 1995)", Lecture Notes in Pure and Appl. Math. 184, Dekker (1997) 399–409 MR1423183
10 T T Q Le, Quantum invariants of 3–manifolds: integrality, splitting, and perturbative expansion, from: "Proceedings of the Pacific Institute for the Mathematical Sciences Workshop “Invariants of Three–Manifolds” (Calgary, AB, 1999)" (2003) 125–152 MR1953323
11 P M Melvin, H R Morton, The coloured Jones function, Comm. Math. Phys. 169 (1995) 501–520 MR1328734
12 H Murakami, Quantum SU(2)–invariants dominate Casson's \mathrm SU(2)-invariant, Math. Proc. Cambridge Philos. Soc. 115 (1994) 253–281 MR1277059
13 H Murakami, J Murakami, The colored Jones polynomials and the simplicial volume of a knot, Acta Math. 186 (2001) 85–104 MR1828373
14 T Ohtsuki, A polynomial invariant of integral homology 3–spheres, Math. Proc. Cambridge Philos. Soc. 117 (1995) 83–112 MR1297897
15 L Rozansky, A contribution of the trivial connection to the Jones polynomial and Witten's invariant of 3d manifolds I, II, Comm. Math. Phys. 175 (1996) 275–296, 297–318 MR1370097
16 L Rozansky, On p–adic properties of the Witten–Reshetikhin–Turaev invariant, from: "Primes and knots", Contemp. Math. 416, Amer. Math. Soc. (2006) 213–236 MR2276143