2 papers
math.GT2023
Long-Moody construction of braid representations and Katz middle convolution
Kazuki Hiroe, Haru Negami
The Long-Moody construction is a method to obtain representations of braid groups introduced by Long and Moody. Also the Katz middle convolution is known to be a method to construc…
math.CA2014
Local Fourier transform and blowing up
Kazuki Hiroe
We consider a resolution of ramified irregular singularities of meromorphic connections on a formal disk via local Fourier transforms. A necessary and sufficient condition for an i…