Algebraic & Geometric Topology Volume 9, issue 2 (2009)

Download this article
	For screen
	For printing

Recent 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

The volume conjecture for augmented knotted trivalent graphs

Roland van der Veen

Algebraic & Geometric Topology 9 (2009) 691–722

DOI: 10.2140/agt.2009.9.691

Bibliography

1	M D Baker, All links are sublinks of arithmetic links, Pacific J. Math. 203 (2002) 257 MR1897900
2	F Costantino, Coloured Jones invariants of links and the volume conjecture, J. Lond. Math. Soc. (2) 76 (2007) 1 MR2351605
3	R Frigerio, Hyperbolic manifolds with geodesic boundary which are determined by their fundamental group, Topology Appl. 145 (2004) 69 MR2100865
4	R Frigerio, An infinite family of hyperbolic graph complements in S³, J. Knot Theory Ramifications 14 (2005) 479 MR2150744
5	D Futer, J S Purcell, Links with no exceptional surgeries, Comment. Math. Helv. 82 (2007) 629 MR2314056
6	K Johannson, Homotopy equivalences of 3–manifolds with boundaries, 761, Springer (1979) MR551744
7	D Jungreis, Chains that realize the Gromov invariant of hyperbolic manifolds, Ergodic Theory Dynam. Systems 17 (1997) 643 MR1452185
8	R M Kashaev, Quantum dilogarithm as a 6j–symbol, Modern Phys. Lett. A 9 (1994) 3757 MR1317945
9	R M Kashaev, The hyperbolic volume of knots from the quantum dilogarithm, Lett. Math. Phys. 39 (1997) 269 MR1434238
10	W B R Lickorish, An introduction to knot theory, 175, Springer (1997) MR1472978
11	G Masbaum, Skein-theoretical derivation of some formulas of Habiro, Algebr. Geom. Topol. 3 (2003) 537 MR1997328
12	G Masbaum, P Vogel, 3–valent graphs and the Kauffman bracket, Pacific J. Math. 164 (1994) 361 MR1272656
13	S Matveev, Algorithmic topology and classification of 3–manifolds, 9, Springer (2003) MR1997069
14	H Murakami, J Murakami, The colored Jones polynomials and the simplicial volume of a knot, Acta Math. 186 (2001) 85 MR1828373
15	H Murakami, J Murakami, M Okamoto, T Takata, Y Yokota, Kashaev’s conjecture and the Chern–Simons invariants of knots and links, Experiment. Math. 11 (2002) 427 MR1959752
16	J G Ratcliffe, Foundations of hyperbolic manifolds, 149, Springer (1994) MR1299730
17	D P Thurston, The algebra of knotted trivalent graphs and Turaev’s shadow world, from: "Invariants of knots and 3–manifolds (Kyoto, 2001)" (editors T Ohtsuki, T Kohno, T Le, J Murakami, J Roberts, V Turaev), Geom. Topol. Monogr. 4, Geom. Topol. Publ. (2002) 337 MR2048108
18	W P Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979)
19	V G Turaev, Quantum invariants of knots and 3–manifolds, 18, de Gruyter (1994) MR1292673
20	R van der Veen, Proof of the volume conjecture for Whitehead chains, Acta Math. Vietnamica 33 (2008) 421