LIBRARY: Higher Quantization

Author(s) Title References Year
Author(s) Title References Year
De Bellis J., Saemann C., Szabo R.J. Quantized Nambu-Poisson Manifolds and n-Lie Algebras J.Math.Phys.51:122303, arXiv:1001.3275 2010
Fiorenza D., Rogers C.L., Schreiber U. Higher L-infinity algebras of local observables from higher prequantum bundles Homology, Homotopy and Applications, vol. 16(2), 2014, pp.107-142 arXiv:1304.6292 2014
Fiorenza D., Rogers C.L., Schreiber U. Higher U(1)-gerbe connections in geometric prequantization arXiv:1304.0236v2 2016
Hélein F.,
Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory. Contemp. Math. 350, 127147. arXiv:math-ph/0212036 2004
Harrivel D., Perturbative classical and quantum field theory arXiv:math-ph/0603014 2006
Harrivel D., Théorie des champs : approche multisymplectique de la quantification, theorie perturbative et application Thèse de Doctorat tel-00011761 2005
Harrivel D., Covariant Deformation Quantization of Free Fields arXiv:math-ph/0603015 2006
Kanatchikov, I.V. DeDonder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory Math.Phys. 43 157-170 arXiv:hep-th/9810165 1999
Kanatchikov, I.V. Geometric (pre)-quantization in the polysymplectic approach to field theory arXiv:hep-th/0112263 2001
Kanatchikov I.V.
Precanonical quantization of Yang-Mills fields and the functional Schroedinger representation arXiv:hep-th/0301001 2003
Saemann C., Szabo R.J. Groupoids, Loop Spaces and Quantization of 2-Plectic Manifolds Rev. Math. Phys. 25 (2013) 1330005 arXiv:1211.0395 2013
Saemann C., Szabo R.J. Quantization of 2-Plectic Manifolds fourth annual meeting of the European Noncommutative Geometry Research Training Network in Bucharest arXiv:1106.1890 2011