nLab Igor V. Kanatchikov

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Selected writings

On De Donder-Weyl-Hamiltonian-theory (classical field theory via multisymplectic geometry):

• Igor V. Kanatchikov, De Donder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory, Rept. Math. Phys. 43 (1999) 157-170 [arXiv:hep-th/9810165, doi:10.1016/S0034-4877(99)80024-X]

and the multisumplectic analog of geometric prequantization:

• Igor V. Kanatchikov, Geometric (pre)quantization in the polysymplectic approach to field theory, in Differential Geometry and Its Applications, Proc. Conf., Opava (August 2001) [arXiv:hep-th/0112263, pdf]

For teleparallel gravity:

• Igor V. Kanatchikov. The De Donder-Weyl Hamiltonian formulation of TEGR and its quantization [arXiv:2308.10052]