Matsuoka, Takuo Some technical aspects of factorization algebras on manifolds. (English) Zbl 1466.55004 Ohsawa, Takeo (ed.) et al., Bousfield classes and Ohkawa’s theorem. Selected contributions given at the workshop, Nagoya, Japan, August 28–30, 2015. Singapore: Springer. Springer Proc. Math. Stat. 309, 407-422 (2020). MSC: 55U35 57R19 57-02 55-02 16E40 57R56 81T99 18N60 18N70 PDFBibTeX XMLCite \textit{T. Matsuoka}, Springer Proc. Math. Stat. 309, 407--422 (2020; Zbl 1466.55004) Full Text: DOI
Castillo, Edmundo; Díaz, Rafael Homological matrices. (English) Zbl 1168.18008 Paycha, S. (ed.) et al., Geometric and topological methods for quantum field theory. Proceedings of the summer school, Villa de Leyva, Colombia, July 11–29, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4062-7/pbk). Contemporary Mathematics 434, 181-191 (2007). Reviewer: Xi Changchang (Beijing) MSC: 18G60 18D20 55N25 81T99 PDFBibTeX XMLCite \textit{E. Castillo} and \textit{R. Díaz}, Contemp. Math. 434, 181--191 (2007; Zbl 1168.18008) Full Text: arXiv
Carey, Alan L.; Mickelsson, Jouko; Murray, Michael K. Bundle gerbes applied to quantum field theory. (English) Zbl 0961.81127 Rev. Math. Phys. 12, No. 1, 65-90 (2000). MSC: 81T99 53C80 58D29 58J90 14F43 55R65 PDFBibTeX XMLCite \textit{A. L. Carey} et al., Rev. Math. Phys. 12, No. 1, 65--90 (2000; Zbl 0961.81127) Full Text: DOI arXiv
Kontsevich, Maxim Operads and motives in deformation quantization. (English) Zbl 0945.18008 Lett. Math. Phys. 48, No. 1, 35-72 (1999). Reviewer: Werner Kleinert (Berlin) MSC: 18D50 16S80 55P35 14F40 14F25 58A50 18D10 81T99 55P48 PDFBibTeX XMLCite \textit{M. Kontsevich}, Lett. Math. Phys. 48, No. 1, 35--72 (1999; Zbl 0945.18008) Full Text: DOI arXiv
Carey, Alan L.; Crowley, Diarmuid; Murray, Michael K. Principal bundles and the Dixmier Douady class. (English) Zbl 0909.57007 Commun. Math. Phys. 193, No. 1, 171-196 (1998). MSC: 57R20 81T30 55R10 81T99 PDFBibTeX XMLCite \textit{A. L. Carey} et al., Commun. Math. Phys. 193, No. 1, 171--196 (1998; Zbl 0909.57007) Full Text: DOI arXiv
Birmingham, Danny; Rakowski, Mark State sum models and simplicial cohomology. (English) Zbl 0844.55009 Commun. Math. Phys. 173, No. 1, 135-154 (1995). MSC: 55U10 81T99 PDFBibTeX XMLCite \textit{D. Birmingham} and \textit{M. Rakowski}, Commun. Math. Phys. 173, No. 1, 135--154 (1995; Zbl 0844.55009) Full Text: DOI arXiv
Givental, Alexander; Kim, Bumsig Quantum cohomology of flag manifolds and Toda lattices. (English) Zbl 0828.55004 Commun. Math. Phys. 168, No. 3, 609-641 (1995). Reviewer: V.Oproiu (Iaşi) MSC: 55N35 57R57 81T99 37-XX PDFBibTeX XMLCite \textit{A. Givental} and \textit{B. Kim}, Commun. Math. Phys. 168, No. 3, 609--641 (1995; Zbl 0828.55004) Full Text: DOI arXiv
Baez, John C.; Ody, Michael S.; Richter, William Topological aspects of spin and statistics in nonlinear sigma models. (English) Zbl 0831.57015 J. Math. Phys. 36, No. 1, 247-257 (1995). MSC: 57R19 20F36 81T99 55Q05 PDFBibTeX XMLCite \textit{J. C. Baez} et al., J. Math. Phys. 36, No. 1, 247--257 (1995; Zbl 0831.57015) Full Text: DOI arXiv
Bohm, A.; Mostafazadeh, A. The relation between the Berry and the Anandan-Aharonov connections for \(U(\mathcal N)\) bundles. (English) Zbl 0831.55013 J. Math. Phys. 35, No. 4, 1463-1470 (1994). MSC: 55R10 81T99 53C05 PDFBibTeX XMLCite \textit{A. Bohm} and \textit{A. Mostafazadeh}, J. Math. Phys. 35, No. 4, 1463--1470 (1994; Zbl 0831.55013) Full Text: DOI
Ono, Kaoru; Roan, Shi-Shyr Vafa’s formula and equivariant \(K\)-theory. (English) Zbl 0786.55003 J. Geom. Phys. 10, No. 3, 287-294 (1993). Reviewer: D.H.Gottlieb (Lafayette) MSC: 55N15 19L47 81T99 PDFBibTeX XMLCite \textit{K. Ono} and \textit{S.-S. Roan}, J. Geom. Phys. 10, No. 3, 287--294 (1993; Zbl 0786.55003) Full Text: DOI
Socolovsky, M. Spin, monopole, instanton and Hopf bundles. (English) Zbl 0857.55012 Rentería, Carlos (ed.) et al., International seminar on algebra and its applications. Proceedings, Mexico City, Mexico, January 20–26, 1991. Mexico City: Sociedad Matemática Mexicana. Aportaciones Mat., Notas Invest. 6, 141-165 (1992). MSC: 55R25 17A35 81T99 PDFBibTeX XMLCite \textit{M. Socolovsky}, Aportaciones Mat., Notas Invest. 6, 141--165 (1992; Zbl 0857.55012)
Penna, Vittorio; Spera, Mauro Geometry of quantum vortices and link invariants. (English) Zbl 0798.57004 Int. J. Mod. Phys. B 6, No. 11-12, 2209-2216 (1992). MSC: 57M25 81T99 55P62 PDFBibTeX XMLCite \textit{V. Penna} and \textit{M. Spera}, Int. J. Mod. Phys. B 6, No. 11--12, 2209--2216 (1992; Zbl 0798.57004) Full Text: DOI
Tscheuschner, Ralf D. Coinciding versus noncoinciding: Is the topological spin-statistics theorem already proven in quantum mechanics? (English) Zbl 0734.55011 J. Math. Phys. 32, No. 3, 749-752 (1991). MSC: 55R99 81T99 PDFBibTeX XMLCite \textit{R. D. Tscheuschner}, J. Math. Phys. 32, No. 3, 749--752 (1991; Zbl 0734.55011) Full Text: DOI
Shvarts, A. S. Quantum field theory and topology. (Kvantovaya teoriya polya i topologiya.) (Russian. English summary) Zbl 0682.58001 Moskva: Nauka. 400 p. R. 4.60 (1989). Reviewer: Gh.Zet MSC: 58-02 55-02 57-02 81-02 81T99 PDFBibTeX XMLCite \textit{A. S. Shvarts}, Kvantovaya teoriya polya i topologiya (Russian). Moskva: Nauka (1989; Zbl 0682.58001)
Rañada, Antonio F. A topological theory of the electromagnetic field. (English) Zbl 0687.57015 Lett. Math. Phys. 18, No. 2, 97-106 (1989). Reviewer: A.F.Rañada MSC: 57R99 55Q05 78A25 81T99 58J90 PDFBibTeX XMLCite \textit{A. F. Rañada}, Lett. Math. Phys. 18, No. 2, 97--106 (1989; Zbl 0687.57015) Full Text: DOI
Fisch, Jean; Henneaux, Marc; Stasheff, James; Teitelboim, Claudio Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts. (English) Zbl 0685.58054 Commun. Math. Phys. 120, No. 3, 379-407 (1989). MSC: 58Z05 81T99 37J99 55N99 PDFBibTeX XMLCite \textit{J. Fisch} et al., Commun. Math. Phys. 120, No. 3, 379--407 (1989; Zbl 0685.58054) Full Text: DOI
Betounes, David The geometry of gauge-particle field interaction: A generalization of Utiyama’s theorem. (English) Zbl 0684.53080 J. Geom. Phys. 6, No. 1, 107-125 (1989). Reviewer: V.Perlick MSC: 53C80 81T99 55R10 PDFBibTeX XMLCite \textit{D. Betounes}, J. Geom. Phys. 6, No. 1, 107--125 (1989; Zbl 0684.53080) Full Text: DOI
Sorkin, Rafael D. A general relation between kink-exchange and kink-rotation. (English) Zbl 0668.55016 Commun. Math. Phys. 115, No. 3, 421-434 (1988). Reviewer: G.Marmo MSC: 55R99 55P99 81V99 57R22 58D15 81T99 PDFBibTeX XMLCite \textit{R. D. Sorkin}, Commun. Math. Phys. 115, No. 3, 421--434 (1988; Zbl 0668.55016) Full Text: DOI
Braden, H. W. Anomalous congruences. (English) Zbl 0655.55010 J. Math. Phys. 29, No. 11, 2494-2498 (1988). MSC: 55R40 57R20 81T99 83C99 PDFBibTeX XMLCite \textit{H. W. Braden}, J. Math. Phys. 29, No. 11, 2494--2498 (1988; Zbl 0655.55010) Full Text: DOI
Bonora, L.; Cotta-Ramusino, P.; Rinaldi, M.; Stasheff, J. The evaluation map in field theory, sigma-models and strings. I. (English) Zbl 0645.53071 Commun. Math. Phys. 112, 237-282 (1987). Reviewer: H.Rumpf MSC: 53C80 81T60 55R99 81T99 PDFBibTeX XMLCite \textit{L. Bonora} et al., Commun. Math. Phys. 112, 237--282 (1987; Zbl 0645.53071) Full Text: DOI
Smrz, P. K. Construction of space-time by gauge translations. (English) Zbl 0635.55015 J. Math. Phys. 28, 2824-2828 (1987). Reviewer: P.K.Smrz MSC: 55R10 53C05 81T99 58D99 58J90 PDFBibTeX XMLCite \textit{P. K. Smrz}, J. Math. Phys. 28, 2824--2828 (1987; Zbl 0635.55015) Full Text: DOI
Bonora, L.; Cotta-Ramusino, P.; Rinaldi, M.; Stasheff, J. Anomalies and the evaluation map. (English) Zbl 0632.53074 Topological and geometrical methods in field theory, Proc. Symp., Espoo/Finl. 1986, 255-271 (1987). MSC: 53C80 81T99 55R40 PDFBibTeX XML
Vourdas, A. Loop gauge theory and group cohomology. (English) Zbl 0622.55012 J. Math. Phys. 28, 584-591 (1987). MSC: 55R10 53C05 53C80 81T99 PDFBibTeX XMLCite \textit{A. Vourdas}, J. Math. Phys. 28, 584--591 (1987; Zbl 0622.55012) Full Text: DOI
Hou, Boyu; Hou, Boyuan; Wang, Pei The cohomology in translation group and Kronecker mapping. (Chinese. English summary) Zbl 0603.55005 Acta Phys. Sin. 35, 829-832 (1986). MSC: 55N05 58A12 81T99 53C05 53C80 PDFBibTeX XMLCite \textit{B. Hou} et al., Acta Phys. Sin. 35, 829--832 (1986; Zbl 0603.55005)
Wang, Pei; Hou, Boyuan; Hou, Boyu The topological meaning of anomalies and the Čech-de Rham cohomology for gauge group. (Chinese. English summary) Zbl 0603.55004 Acta Phys. Sin. 35, 433-442 (1986). MSC: 55N05 58A12 81T99 53C05 53C80 PDFBibTeX XMLCite \textit{P. Wang} et al., Acta Phys. Sin. 35, 433--442 (1986; Zbl 0603.55004)
Hou, Boyu; Hou, Boyuan; Wang, Pei The global topological meaning of cocycles in a gauge group. (English) Zbl 0603.55003 Lett. Math. Phys. 11, 179-187 (1986). Reviewer: M.Monastyrski MSC: 55N05 58A12 81T99 55R10 53C05 PDFBibTeX XMLCite \textit{B. Hou} et al., Lett. Math. Phys. 11, 179--187 (1986; Zbl 0603.55003) Full Text: DOI
Laursen, M. L.; Schierholz, G.; Wiese, U.-J. 2- and 3-cochains in 4-dimensional SU(2) gauge theory. (English) Zbl 0597.58051 Commun. Math. Phys. 103, 693-699 (1986). Reviewer: St.I.Andersson MSC: 58J90 81T99 55N99 PDFBibTeX XMLCite \textit{M. L. Laursen} et al., Commun. Math. Phys. 103, 693--699 (1986; Zbl 0597.58051) Full Text: DOI
Dodson, C. T. J. Fibrilations and group actions. (English) Zbl 0646.55009 Differential geometry, Proc. 5th Int. Colloq., Santiago de Compostela/Spain 1984, Res. Notes Math. 131, 290-296 (1985). Reviewer: V.Cruceanu MSC: 55R65 53C05 53D50 83E99 81T99 PDFBibTeX XML
Guo, Han-ying Generalized Chern-Simons classes, Čech-de Rham complex and gauge group cohomologies. (English) Zbl 0642.55011 Anomalies, geometry, topology, Symp. Chicago/Ill. 1985, 205-210 (1985). MSC: 55R40 81T99 PDFBibTeX XML
Hou, Bo-Yu The global view of gauge group cocycles. (English) Zbl 0642.55010 Anomalies, geometry, topology, Symp., Chicago/Ill. 1985, 247-253 (1985). MSC: 55R35 55R40 81T99 PDFBibTeX XML
Nash, C. Gauge potentials and bundles over the 4-torus. (English) Zbl 0521.55014 Commun. Math. Phys. 88, 319-325 (1983). MSC: 55R15 53D50 55R50 57R20 55R40 55R10 81T99 PDFBibTeX XMLCite \textit{C. Nash}, Commun. Math. Phys. 88, 319--325 (1983; Zbl 0521.55014) Full Text: DOI
Kundu, A. Construction of nonlinear sigma-models in two and higher space- dimensions. (English) Zbl 0484.55006 Ann. Phys. 139, 36-47 (1982). MSC: 55P99 53C80 81T99 PDFBibTeX XMLCite \textit{A. Kundu}, Ann. Phys. 139, 36--47 (1982; Zbl 0484.55006) Full Text: DOI
Tulczyjew, W. M. Gauge independent formulation of dynamics of charged extended objects. (English) Zbl 0477.58040 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 34, 25-43 (1981). MSC: 58J90 53C05 53C80 55R10 81T99 81V99 PDFBibTeX XMLCite \textit{W. M. Tulczyjew}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 34, 25--43 (1981; Zbl 0477.58040) Full Text: Numdam EuDML
Quiros, M.; de Urries, F. J.; Hoyos, J.; Mazon, M. L.; Rodriguez, E. Geometrical structure of Faddeev-Popov fields and invariance properties of gauge theories. (English) Zbl 0473.58024 J. Math. Phys. 22, 1767-1774 (1981). MSC: 58J90 53C80 81T99 55R10 PDFBibTeX XMLCite \textit{M. Quiros} et al., J. Math. Phys. 22, 1767--1774 (1981; Zbl 0473.58024) Full Text: DOI
Lee, Hua-chung; Wu, Yong-shi; Hsien, Ting-chang; Hou, Bo-yu; Duan, I-shi; Guo, Han-ying A review on the research in classical gauge field theory in China during the recent years. (English) Zbl 0485.58003 Theoretical particle physics, Proc. 1980 Guanzhou Conf., Vol. 1, 97-141 (1980). MSC: 58-02 81T99 83C99 58J90 53C80 55R10 55R99 PDFBibTeX XML
Perez-Rendon, A. General relativity as a gauge theory. (English) Zbl 0456.58013 Differential geometrical methods in mathematical physics, Proc. Conf. Aix-en-Provence and Salamanca 1979, Lect. Notes Math. 836, 440-454 (1980). MSC: 58E30 58E99 83E99 83C99 83D05 81T99 53C05 53C50 55R10 PDFBibTeX XML
Roberts, John E. A survey of local cohomology. (English) Zbl 0449.55009 Mathematical problems in theoretical physics, int. Conf., Rome 1977, Lect. Notes Phys. 80, 81-93 (1978). MSC: 55N99 81T99 PDFBibTeX XML
Isham, C. J. Spinor fields in four dimensional space-time. (English) Zbl 0396.53031 Proc. R. Soc. Lond., Ser. A 364, 591-599 (1978). MSC: 53C50 55P99 81T99 PDFBibTeX XMLCite \textit{C. J. Isham}, Proc. R. Soc. Lond., Ser. A 364, 591--599 (1978; Zbl 0396.53031) Full Text: DOI
Singer, I. M. Some remarks on the Gribov ambiguity. (English) Zbl 0379.53009 Commun. Math. Phys. 60, No. 1, 7-12 (1978). Reviewer: Jean-Pierre Bourguignon (Bures-Sur-Yvette, France ) MSC: 53C05 58B05 55Q05 53C80 58D05 58D30 81T99 PDFBibTeX XMLCite \textit{I. M. Singer}, Commun. Math. Phys. 60, 7--12 (1978; Zbl 0379.53009) Full Text: DOI