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math-ph2026
Finite images of braid group representations and algebraic solutions of KZ-type equations
Haru Negami
Finite monodromy provides a bridge between group representations and algebraic solutions of differential equations. We study this connection for the Katz-Long-Moody construction, w…
math-ph2026
A closed signature formula for the Katz-Long-Moody Hermitian form
Haru Negami
The Katz-Long-Moody construction associates to a representation of the semidirect product of a free group and a braid group, defined by the Artin action, and a nonzero parameter a…
math-ph2025
Long-Moody construction of braid group representations and Haraoka's multiplicative middle convolution for KZ-type equations
Haru Negami
We establish a correspondence between the algebraic and analytic approaches to constructing representations of the braid group Bn: the Katz--Long--Moody construction and the multip…