Volume 4 (2004)

Download this article
For screen
For printing
Recent Issues

Volume 13 (2013)
Issue 1 1–624
Issue 2 625–1241
Issue 3 1243–1856
Issue 4 1857–

Volume 12 (2012) 1–4

Volume 11 (2011) 1–5

Volume 10 (2010) 1–4

Volume 9 (2009) 1–4

Volume 8 (2008) 1–4

Volume 7 (2007)

Volume 6 (2006)

Volume 5 (2005)

Volume 4 (2004)

Volume 3 (2003)

Volume 2 (2002)

Volume 1 (2001)

The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
Subscriptions
Contacts
G&T Publications
GTP Author Index

Shadow world evaluation of the Yang–Mills measure

Charles Frohman and Joanna Kania-Bartoszynska

Algebraic & Geometric Topology 4 (2004) 311–332

DOI: 10.2140/agt.2004.4.311

Bibliography
1 D Bullock, Rings of SL2(C)–characters and the Kauffman bracket skein module, Comment. Math. Helv. 72 (1997) 521–542 MR1600138
2 D Bullock, C Frohman, J Kania-Bartoszyńska, Understanding the Kauffman bracket skein module, J. Knot Theory Ramifications 8 (1999) 265–277 MR1691437
3 D Bullock, C Frohman, J Kania-Bartoszynska, The Yang–Mills measure in the Kauffman bracket skein module, Comment. Math. Helv. 78 (2003) 1–17 MR1966749
4 C Frohman, Natural volumes on character varieties and the Turaev–Viro invariant at level infinity, in preparation
5 C Frohman, J Kania-Bartoszynska, The quantum content of the normal surfaces in a three-manifold, J. Knot Theory Ramifications 17 (2008) 1005–1033 MR2439773
6 W M Goldman, The symplectic nature of fundamental groups of surfaces, Adv. in Math. 54 (1984) 200–225 MR762512
7 V F R Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. (N.S.) 12 (1985) 103–111 MR766964
8 L H Kauffman, State models and the Jones polynomial, Topology 26 (1987) 395–407 MR899057
9 L H Kauffman, S L Lins, Temperley–Lieb recoupling theory and invariants of 3–manifolds, Annals of Mathematics Studies 134, Princeton University Press (1994) MR1280463
10 R Kirby, P Melvin, The 3–manifold invariants of Witten and Reshetikhin–Turaev for sl(2,C), Invent. Math. 105 (1991) 473–545 MR1117149
11 A N Kirillov, N Y Reshetikhin, Representations of the algebra Uq(sl(2)), q–orthogonal polynomials and invariants of links, from: "Infinite-dimensional Lie algebras and groups (Luminy–Marseille, 1988)", Adv. Ser. Math. Phys. 7, World Sci. Publ., Teaneck, NJ (1989) 285–339 MR1026957
12 W B R Lickorish, An introduction to knot theory, Graduate Texts in Mathematics 175, Springer (1997) MR1472978
13 J H Przytycki, A S Sikora, On skein algebras and Sl2(C)–character varieties, Topology 39 (2000) 115–148 MR1710996
14 J Roberts, Skein theories as TQFTs, preprint
15 V G Turaev, Shadow links and face models of statistical mechanics, J. Differential Geom. 36 (1992) 35–74 MR1168981
16 H Wenzl, On sequences of projections, C. R. Math. Rep. Acad. Sci. Canada 9 (1987) 5–9 MR873400