Kauffman, Louis H.; Lomonaco, Samuel J. jun. Topological quantum information theory. (English) Zbl 1216.81039 Lomonaco, Samuel J. jun. (ed.), Quantum information science and its contributions to mathematics. American Mathematical Society short course, January 3–4, 2009, Washington, DC, USA. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4828-9/hbk). Proceedings of Symposia in Applied Mathematics 68, 103-176 (2010). Reviewer: Eugene Kryachko (Liège) MSC: 81P45 57M25 18D10 54E05 54E70 54F05 68Q12 81P10 81P13 81P68 PDF BibTeX XML Cite \textit{L. H. Kauffman} and \textit{S. J. Lomonaco jun.}, Proc. Symp. Appl. Math. 68, 103--176 (2010; Zbl 1216.81039) OpenURL
Freedman, Michael H.; Walker, Kevin; Wang, Zhenghan Quantum \(SU(2)\) faithfully detects mapping class groups modulo center. (English) Zbl 1037.57024 Geom. Topol. 6, 523-539 (2002). Reviewer: Christian Blanchet (Vannes) MSC: 57R56 57M27 14N35 22E46 53D45 PDF BibTeX XML Cite \textit{M. H. Freedman} et al., Geom. Topol. 6, 523--539 (2002; Zbl 1037.57024) Full Text: DOI arXiv EuDML EMIS OpenURL
Freedman, Michael H.; Larsen, Michael; Wang, Zhenghan A modular functor which is universal for quantum computation. (English) Zbl 1012.81007 Commun. Math. Phys. 227, No. 3, 605-622 (2002). MSC: 81P68 57R56 81T45 PDF BibTeX XML Cite \textit{M. H. Freedman} et al., Commun. Math. Phys. 227, No. 3, 605--622 (2002; Zbl 1012.81007) Full Text: DOI arXiv OpenURL
Kohno, Toshitake Conformal field theory and topology. Transl. from the Japanese by the author. (English) Zbl 1024.81001 Translations of Mathematical Monographs. Iwanami Series in Modern Mathematics. 210. Providence, RI: American Mathematical Society (AMS). x, 172 p. (2002). Reviewer: Werner Kleinert (Berlin) MSC: 81-02 57-02 81T40 81T45 53C80 53C29 57M27 17B67 17B69 22E67 81R10 PDF BibTeX XML Cite \textit{T. Kohno}, Conformal field theory and topology. Transl. from the Japanese by the author. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1024.81001) OpenURL
Hu, Sen Lectures notes on Chern-Simons-Witten theory. (English) Zbl 1038.58029 Singapore: World Scientific (ISBN 981-02-3909-2). 200 p. (2001). Reviewer: Sebastian Goette (Regensburg) MSC: 58J28 53D50 58-02 81-02 81T45 58J90 57M27 57R56 PDF BibTeX XML Cite \textit{S. Hu}, Lectures notes on Chern-Simons-Witten theory. Singapore: World Scientific (2001; Zbl 1038.58029) OpenURL
Atiyah, Michael Geometry and physics in the 20th century. (English) Zbl 0994.01011 Bitar, Khalil (ed.) et al., Proceedings of the international conference on the mathematical sciences after the year 2000, Beirut, Lebanon, January 11-15, 1999. Singapore: World Scientific. 1-9 (2000). Reviewer: Manfred Stern (Halle) MSC: 01A67 81-03 53-03 58-03 01A60 01A61 81T75 58B34 53D45 81T45 57R57 81T30 PDF BibTeX XML Cite \textit{M. Atiyah}, in: The mathematical sciences after the year 2000. Proceedings of the international conference, Beirut, Lebanon, January 11--15, 1999. Singapore: World Scientific. 1--9 (2000; Zbl 0994.01011) OpenURL
Nash, Charles Topology and physics – a historical essay. (English) Zbl 0963.57001 James, I. M. (ed.), History of topology. Amsterdam: Elsevier. 359-415 (1999). MSC: 57-03 01A60 78-03 83-03 81-03 00A79 01A55 57R56 81T45 PDF BibTeX XML Cite \textit{C. Nash}, in: History of topology. Amsterdam: Elsevier. 359--415 (1999; Zbl 0963.57001) Full Text: arXiv OpenURL
Lawrence, Ruth; Rozansky, Lev Witten-Reshetikhin-Turaev invariants of Seifert manifolds. (English) Zbl 0966.57017 Commun. Math. Phys. 205, No. 2, 287-314 (1999). MSC: 57M27 58J28 57R57 58J37 PDF BibTeX XML Cite \textit{R. Lawrence} and \textit{L. Rozansky}, Commun. Math. Phys. 205, No. 2, 287--314 (1999; Zbl 0966.57017) Full Text: DOI OpenURL
Atiyah, Michael Geometry and physics: Where are we going? (English) Zbl 0865.53063 Andersen, Jørgen Ellegaard (ed.) et al., Geometry and physics. Proceedings of the conference at Aarhus University, Aarhus, Denmark, 1995. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 184, 1-7 (1997). MSC: 53Z05 81Txx 53-02 57N13 53C07 PDF BibTeX XML Cite \textit{M. Atiyah}, Lect. Notes Pure Appl. Math. 184, 1--7 (1997; Zbl 0865.53063) OpenURL
Rozansky, L. A contribution of the trivial connection to the Jones polynomial and Witten’s invariant of 3d manifolds. I. (English) Zbl 0872.57010 Commun. Math. Phys. 175, No. 2, 275-296 (1996). Reviewer: R.Schmid (Atlanta) MSC: 57M25 PDF BibTeX XML Cite \textit{L. Rozansky}, Commun. Math. Phys. 175, No. 2, 275--296 (1996; Zbl 0872.57010) Full Text: DOI arXiv OpenURL
Blanchet, C.; Habegger, N.; Masbaum, G.; Vogel, P. Topological quantum field theories derived from the Kauffman bracket. (English) Zbl 0887.57009 Topology 34, No. 4, 883-927 (1995). Reviewer: Viktor Abramov (Tartu) MSC: 57M25 57N10 81T13 PDF BibTeX XML Cite \textit{C. Blanchet} et al., Topology 34, No. 4, 883--927 (1995; Zbl 0887.57009) Full Text: DOI OpenURL
Masbaum, Gregor; Rourke, Colin Model categories and topological quantum field theories. (English) Zbl 0864.57032 Turk. J. Math. 18, No. 1, 70-80 (1994). Reviewer: V.Abramov (Tartu) MSC: 57R99 53C80 81T99 PDF BibTeX XML Cite \textit{G. Masbaum} and \textit{C. Rourke}, Turk. J. Math. 18, No. 1, 70--80 (1994; Zbl 0864.57032) OpenURL
Singer, I. M. The current interface of geometry and elementary particle physics. Lecture, Baltimore, MD, January 1992. Videotape (NTSC). (English) Zbl 0803.53002 AMS-MAA Joint Lecture Series. Providence, RI: American Mathematical Society (AMS). (1994). MSC: 53-02 53Z05 81-02 PDF BibTeX XML OpenURL
Kauffman, Louis H.; Lins, Sóstenes L. Temperley-Lieb recoupling theory and invariants of 3-manifolds. (English) Zbl 0821.57003 Annals of Mathematics Studies. 134. Princeton, NJ: Princeton University Press. viii, 296 p. (1994). Reviewer: J.Huebschmann (Bonn) MSC: 57-02 17B37 57N10 57M25 81R50 PDF BibTeX XML Cite \textit{L. H. Kauffman} and \textit{S. L. Lins}, Temperley-Lieb recoupling theory and invariants of 3-manifolds. Princeton, NJ: Princeton University Press (1994; Zbl 0821.57003) Full Text: DOI OpenURL
Verjovsky, Alberto; Vila Freyer, Ricardo F. The Jones-Witten invariant for flows on a 3-dimensional manifold. (English) Zbl 0808.57011 Commun. Math. Phys. 163, No. 1, 73-88 (1994). Reviewer: E.Outerelo (Madrid) MSC: 57N10 37C10 57M25 37A99 PDF BibTeX XML Cite \textit{A. Verjovsky} and \textit{R. F. Vila Freyer}, Commun. Math. Phys. 163, No. 1, 73--88 (1994; Zbl 0808.57011) Full Text: DOI OpenURL
Kauffman, Louis H. Introduction to quantum topology. (English) Zbl 0840.57002 Kauffman, Louis H. (ed.) et al., Quantum topology. Based on an AMS special session on topological quantum field theory, held in Dayton, OH, USA on October 30-November 1, 1992 at the general meeting of the American Mathematical Society. Singapore: World Scientific. Ser. Knots Everything. 3, 1-77 (1993). Reviewer: V.Abramov (Tartu) MSC: 57-02 81R50 82B23 57M25 PDF BibTeX XML Cite \textit{L. H. Kauffman}, in: Quantum topology. Based on an AMS special session on topological quantum field theory, held in Dayton, OH, USA on October 30-November 1, 1992 at the general meeting of the American Mathematical Society. Singapore: World Scientific. 1--77 (1993; Zbl 0840.57002) OpenURL
Rimányi, Richárd The Witten-Reshetikhin-Turaev invariant for three-manifolds. (English) Zbl 0807.57012 Bozhüyük, Mehmet Emin (ed.), Topics in knot theory. Proceedings of the NATO Advanced Study Institute, Erzurum, Turkey, September 1-12, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 399, 319-347 (1993). MSC: 57N10 57M25 81R50 17B37 PDF BibTeX XML Cite \textit{R. Rimányi}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 399, 319--347 (1993; Zbl 0807.57012) OpenURL
Marathe, K. B.; Martucci, G. The mathematical foundations of gauge theories. (English) Zbl 0920.58079 Studies in Mathematical Physics. 5. Amsterdam: North-Holland. xxi, 372 p. (1992). Reviewer: A.Maciocia (MR 93k:58002) MSC: 58Z05 53Z05 53C07 58E15 81-02 81T13 PDF BibTeX XML Cite \textit{K. B. Marathe} and \textit{G. Martucci}, The mathematical foundations of gauge theories. Amsterdam: North-Holland (1992; Zbl 0920.58079) OpenURL
Lickorish, W. B. R. Three-manifolds and the Temperley-Lieb algebra. (English) Zbl 0739.57004 Math. Ann. 290, No. 4, 657-670 (1991). Reviewer: W.B.R.Lickorish MSC: 57M25 57N10 57R20 PDF BibTeX XML Cite \textit{W. B. R. Lickorish}, Math. Ann. 290, No. 4, 657--670 (1991; Zbl 0739.57004) Full Text: DOI EuDML OpenURL
Donaldson, S. K. (ed.); Thomas, C. B. (ed.) Geometry of low-dimensional manifolds. 2: Symplectic manifolds and Jones- Witten theory. Proceedings of the Durham symposium, Durham, UK, July 1989. (English) Zbl 0722.00024 London Mathematical Society Lecture Note Series, 151. Cambridge etc.: Cambridge University Press. xiv, 242 p. £19.50; $ 29.95 (1990). MSC: 00B25 57-06 PDF BibTeX XML OpenURL
Guilarte, J. M. The supersymmetric sigma model, topological quantum mechanics and knot invariants. (English) Zbl 0726.53061 J. Geom. Phys. 7, No. 2, 255-302 (1990). MSC: 53C80 37D15 81T10 81T60 PDF BibTeX XML Cite \textit{J. M. Guilarte}, J. Geom. Phys. 7, No. 2, 255--302 (1990; Zbl 0726.53061) Full Text: DOI OpenURL
Atiyah, Michael The Jones-Witten invariants of knots. (English) Zbl 0739.57001 Sémin. Bourbaki, Vol. 1989/90, 42ème année, Astérisque 189-190, Exp. No. 715, 7-16 (1990). Reviewer: T.Lawson (New Orleans) MSC: 57M25 57N10 PDF BibTeX XML Cite \textit{M. Atiyah}, Astérisque 189--190, 7--16 (1990; Zbl 0739.57001) Full Text: Numdam EuDML OpenURL
Atiyah, Michael Topological quantum field theories. (English) Zbl 0692.53053 Publ. Math., Inst. Hautes Étud. Sci. 68, 175-186 (1988). Reviewer: R.Schmid MSC: 53C80 57N99 81T99 PDF BibTeX XML Cite \textit{M. Atiyah}, Publ. Math., Inst. Hautes Étud. Sci. 68, 175--186 (1988; Zbl 0692.53053) Full Text: DOI Numdam EuDML OpenURL
Jones, V. F. R. Subfactors and related topics. (English) Zbl 0692.46049 Operator algebras and applications. Vol 2: Mathematical physics and subfactors, Pap. UK-US Jt. Semin., Warwick/UK 1987, Lond. Math. Soc. Lect. Note Ser. 136, 103-118 (1988). Reviewer: P.E.T.Jorgensen MSC: 46L35 PDF BibTeX XML OpenURL