Translator Disclaimer
VOL. 37 | 2018 Appendix 1. Moduli spaces of meromorphic connections, quiver varieties, and integrable deformations

Abstract

This is a note in which we first review symmetries of moduli spaces of stable meromorphic connections on trivial vector bundles over the Riemann sphere, and next discuss symmetries of their integrable deformations as an application. We shall give an interpretation of the list of 4-dimensional Painlevé type equations given by Kawakami-Nakamura-Sakai from our classification of 4-dimensional moduli spaces of connections. In the study of the symmetries, a realization of the moduli spaces as quiver varieties is given and plays an essential role.

Information

Published: 1 January 2018
First available in Project Euclid: 12 December 2018

Digital Object Identifier: 10.2969/msjmemoirs/03701C030

Rights: Copyright © 2018, The Mathematical Society of Japan

CHAPTER
41 PAGES


SHARE
RIGHTS & PERMISSIONS
Get copyright permission
Back to Top