Kumar, Sanjay Fundamental shadow links realized as links in \(S^3\). (English) Zbl 1482.57016 Algebr. Geom. Topol. 21, No. 6, 3153-3198 (2021). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 57K31 57K32 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Turaev, Vladimir G. Quantum invariants of knots and 3-manifolds. 3rd edition. (English) Zbl 1346.57002 de Gruyter Studies in Mathematics 18. Berlin: Walter de Gruyter (ISBN 978-3-11-044266-3/hbk; 978-3-11-043522-1/ebook). xii, 596 p. (2016). Reviewer: Kenneth A. Perko jun. (New York) MSC: 57-02 57N10 57M25 81R50 18D10 18D20 18D35 57N13 17B37 × Cite Format Result Cite Review PDF Full Text: DOI
Okazaki, Kenta The state sum invariant of 3-manifolds constructed from the \(E_{6}\) linear skein. (English) Zbl 1287.57003 Algebr. Geom. Topol. 13, No. 6, 3469-3536 (2013). Reviewer: Daniel Moskovich (Singapore) MSC: 57M15 57M27 46L37 × Cite Format Result Cite Review PDF Full Text: DOI
Funar, Louis [Rapinchuk, Andrei] Torus bundles not distinguished by TQFT invariants. With an appendix by Louis Funar and Andrei Rapinchuk. (English) Zbl 1278.57020 Geom. Topol. 17, No. 4, 2289-2344 (2013). Reviewer: Daniel Moskovich (Singapore) MSC: 57M27 20F34 57M10 57M50 57R56 20E18 57N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koda, Yuya; Taniguchi, Taiji \((2+1)\)-dimensional TQFT model for colored Turaev-Viro invariants. (English) Zbl 1297.57030 Int. Math. Res. Not. 2013, No. 1, 218-242 (2013). Reviewer: Kazuo Habiro (Kyoto) MSC: 57M27 57M25 57N10 57R56 × Cite Format Result Cite Review PDF Full Text: DOI
Asaeda, Marta Tensor functors on a certain category constructed from spherical categories. (English) Zbl 1219.57013 J. Knot Theory Ramifications 20, No. 1, 1-46 (2011). Reviewer: Daniel Moskovich (Toronto) MSC: 57M27 46L37 81T05 18C20 18D35 57R56 × Cite Format Result Cite Review PDF Full Text: DOI
Koenig, Robert; Kuperberg, Greg; Reichardt, Ben W. Quantum computation with Turaev-Viro codes. (English) Zbl 1206.81033 Ann. Phys. 325, No. 12, 2707-2749 (2010). MSC: 81P68 68Q12 94B60 81P70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Turaev, Vladimir G. Quantum invariants of knots and 3-manifolds. 2nd revised ed. (English) Zbl 1213.57002 de Gruyter Studies in Mathematics 18. Berlin: Walter de Gruyter (ISBN 978-3-11-022183-1/hbk; 978-3-11-022184-8/ebook). xii, 592 p. (2010). Reviewer: Daniel Moskovich (Toronto) MSC: 57-02 57N10 57M25 81R50 18D10 18D20 18D35 57N13 17B37 × Cite Format Result Cite Review PDF
Bruguières, Alain; Virelizier, Alexis Categorical centers and Reshetikhin-Turaev invariants. (English) Zbl 1226.57018 Acta Math. Vietnam. 33, No. 3, 255-277 (2008). Reviewer: Qi Chen (Winston-Salem) MSC: 57M27 16T05 18C20 × Cite Format Result Cite Review PDF Full Text: arXiv
King, Simon A. Ideal Turaev-Viro invariants. (English) Zbl 1114.57011 Topology Appl. 154, No. 6, 1141-1156 (2007). Reviewer: Wolfgang Heil (Tallahassee) MSC: 57M27 13P10 57-04 × Cite Format Result Cite Review PDF Full Text: DOI
Hog-Angeloni, Cynthia; Metzler, Wolfgang Strategies towards a disproof of the general Andrews-Curtis conjecture. (English) Zbl 1116.57004 Sib. Èlektron. Mat. Izv. 3, 335-337 (2006). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 57M20 57Q10 × Cite Format Result Cite Review PDF Full Text: EuDML
Murakami, Jun; Ushijima, Akira A volume formula for hyperbolic tetrahedra in terms of edge lengths. (English) Zbl 1087.52004 J. Geom. 83, No. 1-2, 153-163 (2005). Reviewer: Kazushi Ahara (Kawasaki) MSC: 52A38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kawahigashi, Yasuyuki; Sato, Nobuya; Wakui, Michihisa \((2+1)\)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants. (English) Zbl 1092.57021 Adv. Math. 195, No. 1, 165-204 (2005). MSC: 57R56 81T45 46L37 57M27 18D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banagl, Markus; Friedman, Greg Triangulations of 3-dimensional pseudomanifolds with an application to state-sum invariants. (English) Zbl 1067.57019 Algebr. Geom. Topol. 4, 521-542 (2004). Reviewer: Yo’av Rieck (Fayetteville) MSC: 57Q15 57N80 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Frigerio, Roberto; Martelli, Bruno; Petronio, Carlo Complexity and Heegaard genus of an infinite class of compact 3-manifolds. (English) Zbl 1061.57017 Pac. J. Math. 210, No. 2, 283-297 (2003). Reviewer: Tao Li (Chestnut Hill) MSC: 57M50 57N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matveev, Sergei V. On invariants of Turaev-Viro type. (English) Zbl 1008.57016 Atti Semin. Mat. Fis. Univ. Modena 49, Suppl., 155-166 (2001). Reviewer: C.Hayashi (Tokyo) MSC: 57M27 57N13 57N10 05C15 × Cite Format Result Cite Review PDF
Matveev, S. V.; Ovchinnikov, M. A.; Sokolov, M. V. Construction and properties of the \(t\)-invariant. (English. Russian original) Zbl 1033.57008 J. Math. Sci., New York 113, No. 6, 849-855 (2003); translation from Zap. Nauchn. Semin. POMI 267, 207-219 (2000). Reviewer: Fulvia Spaggiari (Modena) MSC: 57M27 57N10 57R56 × Cite Format Result Cite Review PDF
Suzuki, Koutarou \(E_6\) Turaev-Viro-Ocneanu invariant of lens space \(L(p,1)\). (English) Zbl 0976.57021 Gordon, Cameron McA. (ed.) et al., Knots in Hellas ’98. Proceedings of the international conference on knot theory and its ramifications, European Cultural Centre of Delphi, Greece, August 7–15, 1998. Singapore: World Scientific. Ser. Knots Everything 24, 515-523 (2000). Reviewer: Bernhard Drabant (Walldorf) MSC: 57N10 57M27 × Cite Format Result Cite Review PDF
Bruguières, Alain Premodular categories, modularisations and invariants of 3-manifolds. (Catégories prémodulaires, modularisations et invariants des variétés de dimension 3.) (French) Zbl 0943.18004 Math. Ann. 316, No. 2, 215-236 (2000). Reviewer: R.J.Steiner (Glasgow) MSC: 18D10 57N10 57M25 81R50 81T10 × Cite Format Result Cite Review PDF Full Text: DOI
Gilmer, Patrick M. Quantum invariants of periodic three-manifolds. (English) Zbl 0957.57009 Hass, Joel (ed.) et al., Proceedings of the Kirbyfest, Berkeley, CA, USA, June 22-26, 1998. Warwick: University of Warwick, Institute of Mathematics, Geom. Topol. Monogr. 2, 157-175 (1999). MSC: 57M27 57M10 57M12 57N10 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Ionicioiu, Radu Amplitudes for topology change in Turaev-Viro theory. (English) Zbl 0940.57026 Classical Quantum Gravity 15, No. 7, 1885-1894 (1998). MSC: 57N10 83C45 57R57 57M27 57R56 × Cite Format Result Cite Review PDF Full Text: DOI
Roberts, Justin Refined state-sum invariants of 3- and 4-manifolds. (English) Zbl 0889.57026 Kazez, William H. (ed.), Geometric topology. 1993 Georgia international topology conference, August 2–13, 1993, Athens, GA, USA. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 2(pt.1), 217-234 (1997). MSC: 57N10 57N13 57R15 × Cite Format Result Cite Review PDF
Matveev, S. V.; Sokolov, M. V. On a simple invariant of Turaev-Viro type. (English. Russian original) Zbl 0978.57008 J. Math. Sci., New York 94, No. 2, 1226-1229 (1999); translation from Zap. Nauchn. Semin. POMI 234, 137-142 (1996). MSC: 57M27 57N10 × Cite Format Result Cite Review PDF Full Text: EuDML
Benedetti, Riccardo; Petronio, Carlo On Roberts’ proof of the Turaev-Walker theorem. (English) Zbl 0890.57029 J. Knot Theory Ramifications 5, No. 4, 427-439 (1996). MSC: 57N10 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Sokolov, M. V. The Turaev-Viro invariant for 3-manifolds is a sum of three invariants. (English) Zbl 0874.57011 Can. Math. Bull. 39, No. 4, 468-475 (1996). Reviewer: A.Papadopoulos (Strasbourg) MSC: 57N10 57M20 × Cite Format Result Cite Review PDF Full Text: DOI
Kauffman, Louis H. Knots and topological quantum field theory. (English) Zbl 0883.57015 Yetter, David N. (ed.), Proceedings of the conference on quantum topology, Manhattan, KS, USA, March 24–28, 1993. Singapore: World Scientific. 137-186 (1994). MSC: 57M25 × Cite Format Result Cite Review PDF
Bott, Raoul Reflections on the theme of the poster. (English) Zbl 0817.57003 Goldberg, Lisa R. (ed.) et al., Topological methods in modern mathematics. Proceedings of a symposium in honor of John Milnor’s sixtieth birthday, held at the State University of New York at Stony Brook, USA, June 14-June 21, 1991. Houston, TX: Publish or Perish, Inc. 125-135 (1993). Reviewer: H.R.Morton (Liverpool) MSC: 57M25 × Cite Format Result Cite Review PDF
Lins, Sóstenes A 3-Gem approach to Turaev-Viro invariants. (English) Zbl 0896.57008 Caddeo, R. (ed.) et al., Proceedings of the workshop on differential geometry and topology, Alghero, Italy, June 20–26, 1992. Singapore: World Scientific. 128-200 (1993). Reviewer: J.H.Przytycki (Washington) MSC: 57N10 57M20 57M25 × Cite Format Result Cite Review PDF
Mizoguchi, Shun’ya; Tada, Tsukasa 3-dimensional gravity and the Turaev-Viro invariant. (English) Zbl 0828.58046 Kato, Mitsuhiro (ed.) et al., Recent developments in string and field theory. Kyoto: Yukawa Institute for Theoretical Physics and The Physical Society of Japan, Prog. Theor. Phys., Suppl. 110, 207-227 (1992). MSC: 58Z05 83C27 83E99 × Cite Format Result Cite Review PDF
Kauffman, Louis H. Knots and physics. (English) Zbl 0782.57004 New scientific applications of geometry and topology, AMS Short Course, Baltimore/MD (USA) 1992, Proc. Symp. Appl. Math. 45, 131-246 (1992). Reviewer: W.Heil (Tallahassee) MSC: 57M25 57N10 × Cite Format Result Cite Review PDF