Middle Convolution and Harnad Duality

A. Weinstein; A.D. King; A.H.M. Levelt; D.G. Babbitt; D.G. Babbitt; Daisuke Yamakawa; G. Filipuk; G. Lusztig; H. Nakajima; H. Völklein; H.L. Turrittin; J. Harnad; K. Okamoto; L. Le Bruyn; M. Dettweiler; M. Dettweiler; M. Dettweiler; M. Hukuhara; M. Jimbo; M.R. Adams; M.R. Adams; M.R. Adams; N.M. Katz; N.M.J. Woodhouse; P. Boalch; P. Boalch; S. Bloch; T. Oshima; T. Yokoyama; V. Kostov; W. Balser; W. Crawley-Boevey; W. Crawley-Boevey; W. Crawley-Boevey; Y. Haraoka; Y. Haraoka

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Middle Convolution and Harnad Duality

Authors: A. Weinstein
A.D. King
A.H.M. Levelt
D.G. Babbitt
D.G. Babbitt
Daisuke Yamakawa
G. Filipuk
G. Lusztig
H. Nakajima
H. Völklein
H.L. Turrittin
J. Harnad
K. Okamoto
L. Le Bruyn
M. Dettweiler
M. Dettweiler
M. Dettweiler
M. Hukuhara
M. Jimbo
M.R. Adams
M.R. Adams
M.R. Adams
N.M. Katz
N.M.J. Woodhouse
P. Boalch
P. Boalch
S. Bloch
T. Oshima
T. Yokoyama
V. Kostov
W. Balser
W. Crawley-Boevey
W. Crawley-Boevey
W. Crawley-Boevey
Y. Haraoka
Y. Haraoka
Publication date: 8 February 2010
Publisher: 'Springer Science and Business Media LLC'
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Abstract

We interpret the additive middle convolution operation in terms of the Harnad duality, and as an application, generalize the operation to have a multi-parameter and act on irregular singular systems.Comment: 50 pages; v2: Submitted version once revised according to referees' comment

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