@article{ASENS_2007_4_40_5_815_0, author = {Gilmer, Patrick M. and Masbaum, Gregor}, title = {Integral lattices in {TQFT}}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {815--844}, publisher = {Elsevier}, volume = {Ser. 4, 40}, number = {5}, year = {2007}, doi = {10.1016/j.ansens.2007.07.002}, mrnumber = {2382862}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.ansens.2007.07.002/} }
TY - JOUR AU - Gilmer, Patrick M. AU - Masbaum, Gregor TI - Integral lattices in TQFT JO - Annales scientifiques de l'École Normale Supérieure PY - 2007 SP - 815 EP - 844 VL - 40 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.ansens.2007.07.002/ DO - 10.1016/j.ansens.2007.07.002 LA - en ID - ASENS_2007_4_40_5_815_0 ER -
%0 Journal Article %A Gilmer, Patrick M. %A Masbaum, Gregor %T Integral lattices in TQFT %J Annales scientifiques de l'École Normale Supérieure %D 2007 %P 815-844 %V 40 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.ansens.2007.07.002/ %R 10.1016/j.ansens.2007.07.002 %G en %F ASENS_2007_4_40_5_815_0
Gilmer, Patrick M.; Masbaum, Gregor. Integral lattices in TQFT. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 40 (2007) no. 5, pp. 815-844. doi : 10.1016/j.ansens.2007.07.002. http://www.numdam.org/articles/10.1016/j.ansens.2007.07.002/
[1] Knot Atlas, http://www.math.toronto.edu/~drorbn/KAtlas/index.html.
,[2] Integrality of quantum 3-manifold invariants and rational surgery formula, math.GT/0608627. | Zbl
, ,[3] Topological quantum field theories derived from the Kauffman bracket, Topology 34 (1995) 883-927. | MR | Zbl
, , , ,[4] Quantum cyclotomic orders of 3-manifolds, Topology 40 (1) (2001) 95-125. | MR | Zbl
, ,[5] On certain integral tensor categories and integral TQFTs, math.QA/0408356.
,[6] Almost integral TQFTs from simple Lie algebras, Algebr. Geom. Topol. 5 (2005) 1291-1314. | EuDML | MR | Zbl
, ,[7] A quantum obstruction to embedding, Math. Proc. Cambridge Philos. Soc. 131 (2001) 279-293. | MR | Zbl
, ,[8] Integrality for TQFTs, Duke Math J. 125 (2) (2004) 389-413. | MR | Zbl
,[9] On the Frohman Kania-Bartoszynska ideal, Math. Proc. Cambridge Philos. Soc. 141 (2006) 265-271. | MR | Zbl
,[10] Integral bases for TQFT modules and unimodular representations of mapping class groups, Comment. Math. Helv. 79 (2004) 260-284. | MR | Zbl
, , ,[11] The parity of the Maslov index and the even cobordism category, Fund. Math. 188 (2005) 95-102. | EuDML | MR | Zbl
, ,[12] On the cut number of a 3-manifold, Geom. Topol. 6 (2002) 409-424. | EuDML | MR | Zbl
,[13] Geometric realizations for free quotients, J. Austral. Math. Soc. 14 (1972) 411-418. | MR | Zbl
,[14] Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds, Annals of Mathematics Studies, vol. 134, Princeton University Press, 1994. | MR | Zbl
, ,[15] p-modular TQFT's, Milnor torsion and the Casson-Lescop invariant, Geom. Topol. Monogr. 4 (2002) 119-141. | MR | Zbl
,[16] Strong integrality of quantum invariants of 3-manifolds, Trans. AMS, in press, math.GT/0512433. | MR | Zbl
,[17] The co-rank conjecture for 3-manifold groups, Algebr. Geom. Topol. 2 (2002) 37-50. | EuDML | MR | Zbl
, ,[18] Masbaum G., in preparation.
[19] A simple proof of integrality of quantum invariants at prime roots of unity, Math. Proc. Cambridge Philos. Soc. 121 (3) (1997) 443-454. | MR | Zbl
, ,[20] 3-valent graphs and the Kauffman bracket, Pacific J. Math. 164 (1994) 361-381. | MR | Zbl
, ,[21] Integral modular categories and integrality of quantum invariants at roots of unity of prime order, J. reine angew. Math. (Crelle's Journal) 505 (1998) 209-235. | MR | Zbl
, ,[22] Quantum -invariants dominate the -invariant of Casson and Walker, Math. Proc. Cambridge Philos. Soc. 117 (2) (1995) 237-249. | MR | Zbl
,[23] A polynomial invariant of rational homology 3-spheres, Invent. Math. 123 (2) (1996) 241-257. | EuDML | MR | Zbl
,[24] Maximal Orders, London Mathematical Society Monographs, vol. 5, Academic Press, London-New York, 1975. | MR | Zbl
,[25] Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991) 547-597. | EuDML | MR | Zbl
, ,[26] Problems about free quotients of groups, in: Geometric Group Theory, Columbus, OH, 1992, Ohio State Univ. Math. Res. Inst. Publ., vol. 3, de Gruyter, Berlin, 1995, pp. 165-182. | MR | Zbl
,[27] Cut numbers of 3-manifolds, Trans. AMS 357 (5) (2005) 2007-2020. | MR | Zbl
,[28] Quantum Invariants of Knots and 3-Manifolds, de Gruyter, 1994. | MR | Zbl
,[29] On Witten's 3-manifold invariants, Preprint, 1991, http://canyon23.net/math/.
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