nLab Michio Jimbo

• Wikipedia entry

• inSpire page

Selected writings

On the Kadomtsev-Petviashvili equation:

• Etsuro Date, Michio Jimbo, Masaki Kashiwara, Tetsuji Miwa, Operator approach to the Kadomtsev-Petviashvili equation – Transformation groups for soliton equations. III, J. Phys. Soc. Jpn. 50 (1980) 3806-3812 [doi:10.1143/JPSJ.50.3806]

On holonomic quantum fields:

• Tetsuji Miwa, Michio Jimbo, Introduction to holonomic quantum fields, pp. 28–36 in: The Riemann problem, complete integrability and arithmetic applications, Lec. Notes in Math. 925, Springer (1982) $[$doi:10.1007/BFb0093497$]$

• Michio Jimbo, Tetsuji Miwa, Mikio Sato, Yasuko Môri, Holonomic Quantum Fields — The unanticipated link between deformation theory of differential equations and quantum fields —, In: K. Osterwalder (ed.), Mathematical Problems in Theoretical Physics, Lecture Notes in Physics, 116 Springer (2005) $[$doi:10.1007/3-540-09964-6_310$]$

On the quantum Yang-Baxter equation:

• Michio Jimbo, Introduction to the Yang-Baxter Equation, Int. J. Modern Physics A 4 15 (1989) 3759-3777 [doi:10.1142/S0217751X89001503]

  reprinted in: Braid Group, Knot Theory and Statistical Mechanics, Advanced Series in Mathematical Physics 9, World Scientific (1991) [doi:10.1142/0796]

• Michio Jimbo: Yang-Baxter Equation in Integrable Systems, Advanced Series in Mathematical Physics 10, World Scientific (1990) [doi:10.1142/1021]

  (focus on application to integrable systems)

On the hypergeometric construction of solutions to the Knizhnik-Zamolodchikov equation:

• Etsuro Date, Michio Jimbo, Atsushi Matsuo, Tetsuji Miwa, Hypergeometric-type integrals and the $\mathfrak{sl}(2,\mathbb{C})$-Knizhnik-Zamolodchikov equation, International Journal of Modern Physics B 04 05 (1990) 1049-1057 [doi:10.1142/S0217979290000528]

On solitons:

• Michio Jimbo, Tetsuji Miwa, Etsuro Date, (transl. from Japanese by M. Reid), Solitons: differential equations, symmetries and infinite dimensional algebras, Cambridge Tracts in Mathematics 135 (2012) [ISBN:9781107404199]

category: people