nLab Toshitake Kohno

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Selected writings

On the Drinfeld-Kohno theorem:

• Toshitake Kohno, Monodromy representations of braid groups and Yang-Baxter equations, Annales de l’institut Fourier 37, no. 4 (1987), p. 139-160 (numdam:AIF_1987__37_4_139_0)

On topological aspects of 2d conformal field theory (e.g. Knizhnik-Zamolodchikov equation, and braid representations of conformal blocks):

• Toshitake Kohno, Conformal field theory and topology, transl. from the 1998 Japanese original by the author. Translations of Mathematical Monographs 210. Iwanami Series in Modern Mathematics. Amer. Math. Soc. 2002 $[$AMS:mmono-210$]$

On braid groups, Yang-Baxter equations and infinitesimal braid relations:

• Toshitake Kohno, Monodromy representations of braid groups and Yang-Baxter equations, Annales de l’Institut Fourier, Volume 37 (1987) no. 4, p. 139-160 (doi:10.5802/aif.1114)

• Toshitake Kohno, Linear representations of braid groups and classical Yang-Baxter equations, in: Joan S. Birman, Anatoly Libgober (eds.) Braids Cont. Math. 78 (1988), 339-363 (doi:10.1090/conm/078)

On weight systems/Vassiliev invariants as the real cohomology of based loop spaces of configuration spaces of points:

• Toshitake Kohno, Vassiliev invariants and de Rham complex on the space of knots,

  In: Yoshiaki Maeda, Hideki Omori and Alan Weinstein (eds.), Symplectic Geometry and Quantization, Contemporary Mathematics 179 (1994): 123-123 (doi:10.1090/conm/179)

• Toshitake Kohno, Loop spaces of configuration spaces and finite type invariants, Geom. Topol. Monogr. 4 (2002) 143-160 (arXiv:math/0211056)

On arithmetic topology:

• Toshitake Kohno, Masanori Morishita (eds.), Primes and Knots, Contemporary Mathematics, AMS 2006 (conm:416)

On the Knizhnik-Zamolodchikov connection on configuration spaces of points and conformal blocks:

• Toshitake Kohno, Local Systems on Configuration Spaces, KZ Connections and Conformal Blocks, Acta Math Vietnam 39, 575–598 (2014) (doI;10.1007/s40306-014-0088-6, pdf)

On braid group representations:

• Toshitake Kohno, Introduction to representation theory of braid groups, Peking 2018 (pdf, pdf)

On 2-representations of braid cobordism via higher holonomy:

• Toshitake Kohno, Higher holonomy of formal homology connections and braid cobordisms, Journal of Knot Theory and Its Ramifications 25 12 (2016) 1642007 [doi:10.1142/S0218216516420074, pdf]

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