Thuillier, F. The \(U(1)\) BF functional measure and the Dirac distribution on the space of quantum fields. (English) Zbl 07774859 J. Math. Phys. 64, No. 11, Article ID 113501, 7 p. (2023). MSC: 81T13 81T45 PDFBibTeX XMLCite \textit{F. Thuillier}, J. Math. Phys. 64, No. 11, Article ID 113501, 7 p. (2023; Zbl 07774859) Full Text: DOI arXiv
Magdalena de la Fuente, Julio C.; Eisert, Jens; Bauer, Andreas Bulk-to-boundary anyon fusion from microscopic models. (English) Zbl 07774850 J. Math. Phys. 64, No. 11, Article ID 111904, 49 p. (2023). MSC: 81V27 81T45 PDFBibTeX XMLCite \textit{J. C. Magdalena de la Fuente} et al., J. Math. Phys. 64, No. 11, Article ID 111904, 49 p. (2023; Zbl 07774850) Full Text: DOI arXiv
Chen, Yu-An; Tata, Sri Higher cup products on hypercubic lattices: application to lattice models of topological phases. (English) Zbl 1521.57026 J. Math. Phys. 64, No. 9, Article ID 091902, 50 p. (2023). MSC: 57R15 81T45 81T25 57R20 81T50 PDFBibTeX XMLCite \textit{Y.-A. Chen} and \textit{S. Tata}, J. Math. Phys. 64, No. 9, Article ID 091902, 50 p. (2023; Zbl 1521.57026) Full Text: DOI arXiv
Coquereaux, Robert About integer-valued variants of the theta and \(6j\) symbols. (English) Zbl 1512.81046 J. Math. Phys. 64, No. 3, Article ID 031703, 27 p. (2023). MSC: 81R05 11B65 33E30 51M04 PDFBibTeX XMLCite \textit{R. Coquereaux}, J. Math. Phys. 64, No. 3, Article ID 031703, 27 p. (2023; Zbl 1512.81046) Full Text: DOI arXiv
Bullivant, Alex; Delcamp, Clement Crossing with the circle in Dijkgraaf-Witten theory and applications to topological phases of matter. (English) Zbl 1509.81584 J. Math. Phys. 63, No. 8, Article ID 081901, 32 p. (2022). MSC: 81T45 57R56 PDFBibTeX XMLCite \textit{A. Bullivant} and \textit{C. Delcamp}, J. Math. Phys. 63, No. 8, Article ID 081901, 32 p. (2022; Zbl 1509.81584) Full Text: DOI arXiv
Huang, Tzu-Chen; Lin, Ying-Hsuan Topological field theory with Haagerup symmetry. (English) Zbl 1507.81168 J. Math. Phys. 63, No. 4, Article ID 042306, 33 p. (2022). MSC: 81T45 57R56 46L37 81T05 PDFBibTeX XMLCite \textit{T.-C. Huang} and \textit{Y.-H. Lin}, J. Math. Phys. 63, No. 4, Article ID 042306, 33 p. (2022; Zbl 1507.81168) Full Text: DOI arXiv
Freidel, Laurent; Goeller, Christophe; Livine, Etera R. The quantum gravity disk: discrete current algebra. (English) Zbl 1507.83027 J. Math. Phys. 62, No. 10, Article ID 102303, 42 p. (2021). MSC: 83C45 83C80 83C27 81R50 81R10 PDFBibTeX XMLCite \textit{L. Freidel} et al., J. Math. Phys. 62, No. 10, Article ID 102303, 42 p. (2021; Zbl 1507.83027) Full Text: DOI arXiv
Thuillier, F. 3D topological models and Heegaard splitting. II: Pontryagin duality and observables. (English) Zbl 1454.81208 J. Math. Phys. 61, No. 11, 112302, 36 p. (2020). MSC: 81T45 14N35 37D30 58J28 81R10 81T10 PDFBibTeX XMLCite \textit{F. Thuillier}, J. Math. Phys. 61, No. 11, 112302, 36 p. (2020; Zbl 1454.81208) Full Text: DOI arXiv
Aasen, David; Lake, Ethan; Walker, Kevin Fermion condensation and super pivotal categories. (English) Zbl 1447.82013 J. Math. Phys. 60, No. 12, 121901, 111 p. (2019). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B26 81V74 81V73 11E88 82D20 82B20 PDFBibTeX XMLCite \textit{D. Aasen} et al., J. Math. Phys. 60, No. 12, 121901, 111 p. (2019; Zbl 1447.82013) Full Text: DOI arXiv Link
Bridgeman, Jacob C.; Barter, Daniel; Jones, Corey Fusing binary interface defects in topological phases: the \(\mathbb{Z} / p \mathbb{Z}\) case. (English) Zbl 1437.82010 J. Math. Phys. 60, No. 12, 121701, 34 p. (2019). MSC: 82B24 82B20 81P45 11F52 PDFBibTeX XMLCite \textit{J. C. Bridgeman} et al., J. Math. Phys. 60, No. 12, 121701, 34 p. (2019; Zbl 1437.82010) Full Text: DOI arXiv
Gresnigt, N. A combing algorithm for orientable braided 3-belts. (English) Zbl 1427.81198 J. Math. Phys. 60, No. 11, 113502, 6 p. (2019). MSC: 81V22 81V05 14J29 81R25 PDFBibTeX XMLCite \textit{N. Gresnigt}, J. Math. Phys. 60, No. 11, 113502, 6 p. (2019; Zbl 1427.81198) Full Text: DOI
Thuillier, F. 3D topological models and Heegaard splitting. I: Partition function. (English) Zbl 1427.81089 J. Math. Phys. 60, No. 4, 043505, 19 p. (2019). MSC: 81T20 58J28 81T13 14D21 81S40 14N35 57K30 37D30 PDFBibTeX XMLCite \textit{F. Thuillier}, J. Math. Phys. 60, No. 4, 043505, 19 p. (2019; Zbl 1427.81089) Full Text: DOI arXiv
Mathieu, Ph.; Thuillier, F. Abelian Turaev-Virelizier theorem and \(\operatorname{U}(1)\) BF surgery formulas. (English) Zbl 1373.81235 J. Math. Phys. 58, No. 10, 102301, 8 p. (2017). MSC: 81R10 58J28 11F52 81T20 PDFBibTeX XMLCite \textit{Ph. Mathieu} and \textit{F. Thuillier}, J. Math. Phys. 58, No. 10, 102301, 8 p. (2017; Zbl 1373.81235) Full Text: DOI arXiv
Herfray, Yannick; Krasnov, Kirill Topological field theories of 2- and 3-forms in six dimensions. (English) Zbl 1456.81407 J. Math. Phys. 58, No. 8, 082304, 20 p. (2017). MSC: 81T45 81T20 81V17 83E15 PDFBibTeX XMLCite \textit{Y. Herfray} and \textit{K. Krasnov}, J. Math. Phys. 58, No. 8, 082304, 20 p. (2017; Zbl 1456.81407) Full Text: DOI arXiv
Delcamp, Clement; Dittrich, Bianca From 3D topological quantum field theories to 4D models with defects. (English) Zbl 1368.81140 J. Math. Phys. 58, No. 6, 062302, 22 p. (2017). MSC: 81T45 81T25 81R50 17B37 57N10 PDFBibTeX XMLCite \textit{C. Delcamp} and \textit{B. Dittrich}, J. Math. Phys. 58, No. 6, 062302, 22 p. (2017; Zbl 1368.81140) Full Text: DOI arXiv
Patrascu, Andrei T. Black holes, information, and the universal coefficient theorem. (English) Zbl 1342.83200 J. Math. Phys. 57, No. 7, 071702, 21 p. (2016). MSC: 83C57 83C05 81Q05 83C47 14F42 00A79 PDFBibTeX XMLCite \textit{A. T. Patrascu}, J. Math. Phys. 57, No. 7, 071702, 21 p. (2016; Zbl 1342.83200) Full Text: DOI arXiv
Mathieu, P.; Thuillier, F. Abelian BF theory and Turaev-Viro invariant. (English) Zbl 1332.81139 J. Math. Phys. 57, No. 2, 022306, 31 p. (2016). MSC: 81T13 14N35 PDFBibTeX XMLCite \textit{P. Mathieu} and \textit{F. Thuillier}, J. Math. Phys. 57, No. 2, 022306, 31 p. (2016; Zbl 1332.81139) Full Text: DOI arXiv
Baratin, Aristide; Freidel, Laurent A 2-categorical state sum model. (English) Zbl 1339.18004 J. Math. Phys. 56, No. 1, 011705, 18 p. (2015). Reviewer: S. Moskaliuk (Kyiv) MSC: 18D05 20C35 22A22 83C45 81T20 PDFBibTeX XMLCite \textit{A. Baratin} and \textit{L. Freidel}, J. Math. Phys. 56, No. 1, 011705, 18 p. (2015; Zbl 1339.18004) Full Text: DOI arXiv
Kamiński, Wojciech; Steinhaus, Sebastian Coherent states, \(6j\) symbols and properties of the next to leading order asymptotic expansions. (English) Zbl 1290.83020 J. Math. Phys. 54, No. 12, 121703, 58 p. (2013). MSC: 83C45 83C27 81T20 83C05 PDFBibTeX XMLCite \textit{W. Kamiński} and \textit{S. Steinhaus}, J. Math. Phys. 54, No. 12, 121703, 58 p. (2013; Zbl 1290.83020) Full Text: DOI arXiv
Fairbairn, Winston J.; Meusburger, Catherine Quantum deformation of two four-dimensional spin foam models. (English) Zbl 1274.81140 J. Math. Phys. 53, No. 2, 022501, 37 p. (2012). MSC: 81R50 17B37 83C45 20F36 PDFBibTeX XMLCite \textit{W. J. Fairbairn} and \textit{C. Meusburger}, J. Math. Phys. 53, No. 2, 022501, 37 p. (2012; Zbl 1274.81140) Full Text: DOI arXiv
Han, Muxin 4-dimensional spin-foam model with quantum Lorentz group. (English) Zbl 1317.83036 J. Math. Phys. 52, No. 7, 072501, 22 p. (2011). MSC: 83C45 81T45 81T18 83C65 83F05 PDFBibTeX XMLCite \textit{M. Han}, J. Math. Phys. 52, No. 7, 072501, 22 p. (2011; Zbl 1317.83036) Full Text: DOI arXiv
Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph Twenty five years of two-dimensional rational conformal field theory. (English) Zbl 1417.81016 J. Math. Phys. 51, No. 1, 015210, 19 p. (2010). MSC: 81-03 81-02 81T40 PDFBibTeX XMLCite \textit{J. Fuchs} et al., J. Math. Phys. 51, No. 1, 015210, 19 p. (2010; Zbl 1417.81016) Full Text: DOI arXiv
Girelli, F.; Pfeiffer, H.; Popescu, E. M. Topological higher gauge theory: from BF to BFCG theory. (English) Zbl 1153.81366 J. Math. Phys. 49, No. 3, 032503, 17 p. (2008). MSC: 81T45 57R56 PDFBibTeX XMLCite \textit{F. Girelli} et al., J. Math. Phys. 49, No. 3, 032503, 17 p. (2008; Zbl 1153.81366) Full Text: DOI arXiv
Barrett, John W.; Martins, João Faria; García-Islas, J. Manuel Observables in the Turaev-Viro and Crane-Yetter models. (English) Zbl 1152.81328 J. Math. Phys. 48, No. 9, 093508, 18 p. (2007). MSC: 81-XX PDFBibTeX XMLCite \textit{J. W. Barrett} et al., J. Math. Phys. 48, No. 9, 093508, 18 p. (2007; Zbl 1152.81328) Full Text: DOI arXiv
Freidel, Laurent; Krasnov, Kirill 2D conformal field theories and holography. (English) Zbl 1071.81093 J. Math. Phys. 45, No. 6, 2378-2404 (2004). MSC: 81T40 57R56 PDFBibTeX XMLCite \textit{L. Freidel} and \textit{K. Krasnov}, J. Math. Phys. 45, No. 6, 2378--2404 (2004; Zbl 1071.81093) Full Text: DOI arXiv Link
Zapata, José A. Continuum spin foam model for 3d gravity. (English) Zbl 1060.83511 J. Math. Phys. 43, No. 11, 5612-5623 (2002). MSC: 83C27 83C80 PDFBibTeX XMLCite \textit{J. A. Zapata}, J. Math. Phys. 43, No. 11, 5612--5623 (2002; Zbl 1060.83511) Full Text: DOI arXiv Link
Pfeiffer, Hendryk Four-dimensional lattice gauge theory with ribbon categories and the Crane-Yetter state sum. (English) Zbl 1009.81034 J. Math. Phys. 42, No. 11, 5272-5305 (2001). MSC: 81T08 81T13 57M27 57R56 81T45 81T25 PDFBibTeX XMLCite \textit{H. Pfeiffer}, J. Math. Phys. 42, No. 11, 5272--5305 (2001; Zbl 1009.81034) Full Text: DOI arXiv
Regge, Tullio; Williams, Ruth M. Discrete structures in gravity. (English) Zbl 0984.83016 J. Math. Phys. 41, No. 6, 3964-3984 (2000). Reviewer: Paninjukunnath Achuthan (Chennai) MSC: 83C27 83C45 81V17 PDFBibTeX XMLCite \textit{T. Regge} and \textit{R. M. Williams}, J. Math. Phys. 41, No. 6, 3964--3984 (2000; Zbl 0984.83016) Full Text: DOI arXiv
Rovelli, Carlo The century of the incomplete revolution: searching for general relativistic quantum field theory. (English) Zbl 0981.81008 J. Math. Phys. 41, No. 6, 3776-3800 (2000). MSC: 81P05 81T45 81-03 81V17 81V22 83-03 83C45 PDFBibTeX XMLCite \textit{C. Rovelli}, J. Math. Phys. 41, No. 6, 3776--3800 (2000; Zbl 0981.81008) Full Text: DOI arXiv
Carbone, Gaspare Turaev-Viro invariant and \(3nj\) symbols. (English) Zbl 0968.57009 J. Math. Phys. 41, No. 5, 3068-3085 (2000). MSC: 57M27 22E70 33C80 PDFBibTeX XMLCite \textit{G. Carbone}, J. Math. Phys. 41, No. 5, 3068--3085 (2000; Zbl 0968.57009) Full Text: DOI
Fuchs, J.; Ganchev, A. Ch.; Szlachányi, K.; Vecsernyés, P. \(S_4\) symmetry of \(6j\) symbols and Frobenius-Schur indicators in rigid monoidal \(C^*\) categories. (English) Zbl 0986.81044 J. Math. Phys. 40, No. 1, 408-426 (1999). MSC: 81R50 18D10 20C35 PDFBibTeX XMLCite \textit{J. Fuchs} et al., J. Math. Phys. 40, No. 1, 408--426 (1999; Zbl 0986.81044) Full Text: DOI arXiv
Karimipour, V.; Mostafazadeh, A. Lattice topological field theory on nonorientable surfaces. (English) Zbl 0872.57017 J. Math. Phys. 38, No. 1, 49-66 (1997). MSC: 57N05 81T25 PDFBibTeX XMLCite \textit{V. Karimipour} and \textit{A. Mostafazadeh}, J. Math. Phys. 38, No. 1, 49--66 (1997; Zbl 0872.57017) Full Text: DOI arXiv
Zapata, José A. A combinatorial approach to diffeomorphism invariant quantum gauge theories. (English) Zbl 0892.58091 J. Math. Phys. 38, No. 11, 5663-5681 (1997). MSC: 58Z05 81T10 81T13 81T25 PDFBibTeX XMLCite \textit{J. A. Zapata}, J. Math. Phys. 38, No. 11, 5663--5681 (1997; Zbl 0892.58091) Full Text: DOI arXiv
Jakobsen, Hans Plesner Tensoring with small quantized representations. (English) Zbl 0973.17020 J. Math. Phys. 38, No. 8, 4323-4335 (1997). MSC: 17B37 81R50 17B10 PDFBibTeX XMLCite \textit{H. P. Jakobsen}, J. Math. Phys. 38, No. 8, 4323--4335 (1997; Zbl 0973.17020) Full Text: DOI Link
Albeverio, Sergio; Schäfer, Jörg Abelian Chern-Simons theory and linking numbers via oscillatory integrals. (English) Zbl 0869.46022 J. Math. Phys. 36, No. 5, 2157-2169 (1995). Reviewer: V.N.Karpushkin (Moskva) MSC: 46G12 81S40 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{J. Schäfer}, J. Math. Phys. 36, No. 5, 2157--2169 (1995; Zbl 0869.46022) Full Text: DOI
Iwasaki, Junichi A definition of the Ponzano-Regge quantum gravity model in terms of surfaces. (English) Zbl 0842.53061 J. Math. Phys. 36, No. 11, 6288-6298 (1995). MSC: 53Z05 83C27 81T25 PDFBibTeX XMLCite \textit{J. Iwasaki}, J. Math. Phys. 36, No. 11, 6288--6298 (1995; Zbl 0842.53061) Full Text: DOI arXiv
Williams, Ruth M. Simplicial quantum gravity in four dimensions and invariants of discretized manifolds. (English) Zbl 0847.57032 J. Math. Phys. 36, No. 11, 6276-6287 (1995). MSC: 57R99 83E99 81T99 PDFBibTeX XMLCite \textit{R. M. Williams}, J. Math. Phys. 36, No. 11, 6276--6287 (1995; Zbl 0847.57032) Full Text: DOI
Crane, Louis Clock and category: Is quantum gravity algebraic? (English) Zbl 0848.57035 J. Math. Phys. 36, No. 11, 6180-6193 (1995). MSC: 57R99 83E99 81T99 PDFBibTeX XMLCite \textit{L. Crane}, J. Math. Phys. 36, No. 11, 6180--6193 (1995; Zbl 0848.57035) Full Text: DOI arXiv
Barrett, John W. Quantum gravity as topological quantum field theory. (English) Zbl 0852.58088 J. Math. Phys. 36, No. 11, 6161-6179 (1995). Reviewer: D.B.Gauld (Auckland) MSC: 58Z05 83C47 57M99 81T99 PDFBibTeX XMLCite \textit{J. W. Barrett}, J. Math. Phys. 36, No. 11, 6161--6179 (1995; Zbl 0852.58088) Full Text: DOI arXiv
Cattaneo, Alberto S.; Cotta-Ramusino, Paolo; Fröhlich, Jürg; Martellini, Maurizio Topological \(BF\) theories in 3 and 4 dimensions. (English) Zbl 0848.57005 J. Math. Phys. 36, No. 11, 6137-6160 (1995). MSC: 57M25 81T99 57Q45 PDFBibTeX XMLCite \textit{A. S. Cattaneo} et al., J. Math. Phys. 36, No. 11, 6137--6160 (1995; Zbl 0848.57005) Full Text: DOI arXiv
Lawrence, R. J. Asymptotic expansions of Witten-Reshetikhin-Turaev invariants for some simple 3-manifolds. (English) Zbl 0877.57008 J. Math. Phys. 36, No. 11, 6106-6129 (1995). Reviewer: H.Murakami (Tokyo) MSC: 57N10 17B37 PDFBibTeX XMLCite \textit{R. J. Lawrence}, J. Math. Phys. 36, No. 11, 6106--6129 (1995; Zbl 0877.57008) Full Text: DOI
Durhuus, Bergfinnur; Jonsson, Thordur Classification and construction of unitary topological field theories in two dimensions. (English) Zbl 0831.57006 J. Math. Phys. 35, No. 10, 5306-5313 (1994). MSC: 57N05 81T40 83C47 PDFBibTeX XMLCite \textit{B. Durhuus} and \textit{T. Jonsson}, J. Math. Phys. 35, No. 10, 5306--5313 (1994; Zbl 0831.57006) Full Text: DOI arXiv
Crane, Louis; Frenkel, Igor B. Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases. (English) Zbl 0892.57014 J. Math. Phys. 35, No. 10, 5136-5154 (1994). MSC: 57N13 57R90 81T05 PDFBibTeX XMLCite \textit{L. Crane} and \textit{I. B. Frenkel}, J. Math. Phys. 35, No. 10, 5136--5154 (1994; Zbl 0892.57014) Full Text: DOI arXiv
Bordemann, Martin; Filk, Thomas; Nowak, Claus Algebraic classification of actions invariant under generalized flip moves of two-dimensional graphs. (English) Zbl 0822.05026 J. Math. Phys. 35, No. 9, 4964-4988 (1994). Reviewer: J.Rosický (Brno) MSC: 05C10 16B99 05C99 PDFBibTeX XMLCite \textit{M. Bordemann} et al., J. Math. Phys. 35, No. 9, 4964--4988 (1994; Zbl 0822.05026) Full Text: DOI
Flath, Dan; Towber, Jacob Tensor operators. III: Some fundamental tensor operator identities. (English) Zbl 0781.17003 J. Math. Phys. 34, No. 4, 1523-1547 (1993). Reviewer: A.Klimyk (Kiev) MSC: 17B10 81R05 22E46 PDFBibTeX XMLCite \textit{D. Flath} and \textit{J. Towber}, J. Math. Phys. 34, No. 4, 1523--1547 (1993; Zbl 0781.17003) Full Text: DOI