Volume 13, issue 1 (2013)

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

Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508

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
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
On the Turaev–Viro endomorphism and the colored Jones polynomial

Xuanting Cai and Patrick M Gilmer

Algebraic & Geometric Topology 13 (2013) 375–408
Bibliography
1 H Abchir, C Blanchet, On the computation of the Turaev–Viro module of a knot, J. Knot Theory Ramifications 7 (1998) 843 MR1654629
2 C Blanchet, N Habegger, G Masbaum, P Vogel, Three–manifold invariants derived from the Kauffman bracket, Topology 31 (1992) 685 MR1191373
3 C Blanchet, N Habegger, G Masbaum, P Vogel, Topological quantum field theories derived from the Kauffman bracket, Topology 34 (1995) 883 MR1362791
4 M Boyle, D Handelman, Algebraic shift equivalence and primitive matrices, Trans. Amer. Math. Soc. 336 (1993) 121 MR1102219
5 J C Cha, C Livingston, KnotInfo : Table of knot invariants (2012)
6 P M Gilmer, Invariants for one–dimensional cohomology classes arising from TQFT, Topology Appl. 75 (1997) 217 MR1430088
7 P M Gilmer, Turaev–Viro modules of satellite knots, from: "KNOTS ’96" (editor S Suzuki), World Scientific (1997) 337 MR1664973
8 P M Gilmer, Topological quantum field theory and strong shift equivalence, Canad. Math. Bull. 42 (1999) 190 MR1692009
9 P M Gilmer, Integrality for TQFTs, Duke Math. J. 125 (2004) 389 MR2096678
10 P M Gilmer, Maslov index, lagrangians, mapping class groups and TQFT, preprint (2011) arXiv:0912.4706v3
11 P M Gilmer, G Masbaum, Integral lattices in TQFT, Ann. Sci. École Norm. Sup. 40 (2007) 815 MR2382862
12 L H Kauffman, S L Lins, Temperley–Lieb recoupling theory and invariants of 3–manifolds, 134, Princeton Univ. Press (1994) MR1280463
13 R Kirby, A calculus for framed links in S3, Invent. Math. 45 (1978) 35 MR0467753
14 W B R Lickorish, The skein method for three–manifold invariants, J. Knot Theory Ramifications 2 (1993) 171 MR1227009
15 W B R Lickorish, An introduction to knot theory, 175, Springer (1997) MR1472978
16 D Lind, B Marcus, An introduction to symbolic dynamics and coding, Cambridge Univ. Press (1995) MR1369092
17 G Masbaum, P Vogel, 3–valent graphs and the Kauffman bracket, Pacific J. Math. 164 (1994) 361 MR1272656
18 T Ohtsuki, Equivariant quantum invariants of the infinite cyclic covers of knot complements, from: "Intelligence of low dimensional topology 2006" (editors J S Carter, S Kamada, L H Kauffman, A Kawauchi, T Kohno), Ser. Knots Everything 40, World Scientific (2007) 253 MR2371733
19 T Ohtsuki, Invariants of knots derived from equivariant linking matrices of their surgery presentations, Internat. J. Math. 20 (2009) 883 MR2548403
20 D Rolfsen, A surgical view of Alexander’s polynomial, from: "Geometric topology" (editors L C Glaser, T B Rushing), Lecture Notes in Math 438, Springer (1975) 415 MR0391070
21 V G Turaev, Quantum invariants of knots and 3–manifolds, 18, Walter de Gruyter (2010) MR2654259
22 V Turaev, O Viro, Lecture by Viro at conference on quantum topology (1993)
23 O Viro, Elevating link homology theories and TQFT’es via infinite cyclic coverings, Lecture notes (2011)
24 O Viro, Personal communication (2011)
25 J B Wagoner, Strong shift equivalence theory and the shift equivalence problem, Bull. Amer. Math. Soc. 36 (1999) 271 MR1688990
26 K Walker, Topological quantum field theories and minimal genus surfaces (1990)
27 K Walker, On Witten’s 3–manifold invariants, Preliminary version (1991)
28 C T C Wall, Non–additivity of the signature, Invent. Math. 7 (1969) 269 MR0246311