Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Quiver D-Modules and the Riemann-Hilbert Correspondence

Quiver D-Modules and the Riemann-Hilbert Correspondence

Zapf, Stephanie

Paperback

Series: Augsburger Schriften Zur Mathematik, Physik Und Informatik, Book 30

General Mathematics

Currently unavailable to order

ISBN10: 3832540849
ISBN13: 9783832540845
Publisher: Logos Verlag Berlin
Published: Sep 10 2015
Pages: 81
Weight: 0.15
Height: 0.25 Width: 5.60 Depth: 7.88
Language: English
In this thesis, we show that every regular singular holonomic D-module in Cn whose singular locus is a normal crossing is isomorphic to a quiver D-module -- a D-module whose definition is based on certain representations of the hypercube quiver. To be more precise we give an equivalence of the respective categories. Additionally in dimension 1, we recompute the list of basic indecomposable regular singular holonomic D-modules by Boutet de Monvel using indecomposable quiver representations and our equivalence of categories. Our definition of quiver D-modules is based on the one of Khoroshkin and Varchenko in the case of a normal crossing hyperplane arrangement. To prove the equivalence of categories, we use an equivalence by Galligo, Granger and Maisonobe for regular singular holonomic D-modules whose singular locus is a normal crossing which involves the classical Riemann-Hilbert correspondence.

Also in

General Mathematics

View All