Algebraic & Geometric Topology Volume 13, issue 6 (2013)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

The state sum invariant of $3$–manifolds constructed from the $E_6$ linear skein

Kenta Okazaki

Algebraic & Geometric Topology 13 (2013) 3469–3536

DOI: 10.2140/agt.2013.13.3469

Bibliography

1	S Bigelow, Skein theory for the ADE planar algebras, J. Pure Appl. Algebra 214 (2010) 658 MR2577673
2	D E Evans, Y Kawahigashi, Quantum symmetries on operator algebras, Oxford University Press (1998) MR1642584
3	M Izumi, Subalgebras of infinite $C^{}$–algebras with finite Watatani indices, I: Cuntz algebras*, Comm. Math. Phys. 155 (1993) 157 MR1228532
4	V Jones, Planar algebras, I arXiv:math/9909027
5	L H Kauffman, S L Lins, Temperley–Lieb recoupling theory and invariants of $3$–manifolds, Annals Math. Studies 134, Princeton Univ. Press (1994) MR1280463
6	V Kodiyalam, V S Sunder, Topological quantum field theories from subfactors, Research Notes in Mathematics 423, Chapman & Hall/CRC (2001) MR1870810
7	W B R Lickorish, An introduction to knot theory, Graduate Texts in Mathematics 175, Springer (1997) MR1472978
8	S Morrison, E Peters, N Snyder, Skein theory for the $D_{2n}$ planar algebras, J. Pure Appl. Algebra 214 (2010) 117 MR2559686
9	A Ocneanu, Chirality for operator algebras, from: "Subfactors" (editors H Araki, Y Kawahigashi, H Kosaki), World Sci. Publ. (1994) 39 MR1317353
10	U Pachner, PL homeomorphic manifolds are equivalent by elementary shellings, European J. Combin. 12 (1991) 129 MR1095161
11	N Sato, M Wakui, Computations of Turaev–Viro–Ocneanu invariants of $3$–manifolds from subfactors, J. Knot Theory Ramifications 12 (2003) 543 MR1985909
12	K Suzuki, M Wakui, On the Turaev–Viro–Ocneanu invariant of $3$–manifolds derived from the $E_6$–subfactor, Kyushu J. Math. 56 (2002) 59 MR1898345
13	V G Turaev, Quantum invariants of knots and $3$–manifolds, de Gruyter Studies in Mathematics 18, de Gruyter (1994) MR1292673
14	V G Turaev, O Y Viro, State sum invariants of $3$–manifolds and quantum $6j$–symbols, Topology 31 (1992) 865 MR1191386
15	M Wakui, Turaev–Viro–Ocneanu invariants of $3$–manifolds constructed from quantum $6j$–symbols of the Coxeter graph $E_6$, Sūrikaisekikenkyūsho Kōkyūroku (1998) 6 MR1679913