no. 5
Integral lattices in TQFT
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 40 (2007) no. 5, pp. 815-844 
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     author = {Gilmer, Patrick M. and Masbaum, Gregor},
     title = {Integral lattices in {TQFT}},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
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     year = {2007},
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     language = {en},
     url = {https://www.numdam.org/articles/10.1016/j.ansens.2007.07.002/}
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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

[1] Bar-Natan D., Knot Atlas, http://www.math.toronto.edu/~drorbn/KAtlas/index.html.

[2] Beliakova A., Le T.T.Q., Integrality of quantum 3-manifold invariants and rational surgery formula, math.GT/0608627. | Zbl

[3] Blanchet C., Habegger N., Masbaum G., Vogel P., Topological quantum field theories derived from the Kauffman bracket, Topology 34 (1995) 883-927. | Zbl | MR

[4] Cochran T., Melvin P., Quantum cyclotomic orders of 3-manifolds, Topology 40 (1) (2001) 95-125. | Zbl | MR

[5] Chen Q., On certain integral tensor categories and integral TQFTs, math.QA/0408356.

[6] Chen Q., Le T., Almost integral TQFTs from simple Lie algebras, Algebr. Geom. Topol. 5 (2005) 1291-1314. | Zbl | MR | EuDML

[7] Frohman C., Kania-Bartoszynska J., A quantum obstruction to embedding, Math. Proc. Cambridge Philos. Soc. 131 (2001) 279-293. | Zbl | MR

[8] Gilmer P., Integrality for TQFTs, Duke Math J. 125 (2) (2004) 389-413. | Zbl | MR

[9] Gilmer P., On the Frohman Kania-Bartoszynska ideal, Math. Proc. Cambridge Philos. Soc. 141 (2006) 265-271. | MR | Zbl

[10] Gilmer P., Masbaum G., Van Wamelen P., Integral bases for TQFT modules and unimodular representations of mapping class groups, Comment. Math. Helv. 79 (2004) 260-284. | Zbl | MR

[11] Gilmer P., Qazaqzeh K., The parity of the Maslov index and the even cobordism category, Fund. Math. 188 (2005) 95-102. | MR | EuDML | Zbl

[12] Harvey S., On the cut number of a 3-manifold, Geom. Topol. 6 (2002) 409-424. | Zbl | MR | EuDML

[13] Jaco W., Geometric realizations for free quotients, J. Austral. Math. Soc. 14 (1972) 411-418. | Zbl | MR

[14] Kauffman L.H., Lins S., Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds, Annals of Mathematics Studies, vol. 134, Princeton University Press, 1994. | Zbl | MR

[15] Kerler T., p-modular TQFT's, Milnor torsion and the Casson-Lescop invariant, Geom. Topol. Monogr. 4 (2002) 119-141. | Zbl | MR

[16] Le T.T.Q., Strong integrality of quantum invariants of 3-manifolds, Trans. AMS, in press, math.GT/0512433. | MR | Zbl

[17] Leininger C., Reid A., The co-rank conjecture for 3-manifold groups, Algebr. Geom. Topol. 2 (2002) 37-50. | Zbl | MR | EuDML

[18] Masbaum G., in preparation.

[19] Masbaum G., Roberts J., A simple proof of integrality of quantum invariants at prime roots of unity, Math. Proc. Cambridge Philos. Soc. 121 (3) (1997) 443-454. | Zbl | MR

[20] Masbaum G., Vogel P., 3-valent graphs and the Kauffman bracket, Pacific J. Math. 164 (1994) 361-381. | Zbl | MR

[21] Masbaum G., Wenzl H., 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. | Zbl | MR

[22] Murakami H., Quantum SO 3-invariants dominate the SU 2-invariant of Casson and Walker, Math. Proc. Cambridge Philos. Soc. 117 (2) (1995) 237-249. | Zbl | MR

[23] Ohtsuki T., A polynomial invariant of rational homology 3-spheres, Invent. Math. 123 (2) (1996) 241-257. | Zbl | MR | EuDML

[24] Reiner I., Maximal Orders, London Mathematical Society Monographs, vol. 5, Academic Press, London-New York, 1975. | Zbl | MR

[25] Reshetikhin N., Turaev V., Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991) 547-597. | Zbl | MR | EuDML

[26] Stallings J., 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. | Zbl | MR

[27] Sikora A., Cut numbers of 3-manifolds, Trans. AMS 357 (5) (2005) 2007-2020. | Zbl | MR

[28] Turaev V.G., Quantum Invariants of Knots and 3-Manifolds, de Gruyter, 1994. | Zbl | MR

[29] Walker K., On Witten's 3-manifold invariants, Preprint, 1991, http://canyon23.net/math/.

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