Mathematical Society of Japan Memoirs

Appendix 1. Moduli spaces of meromorphic connections, quiver varieties, and integrable deformations

Kazuki Hiroe

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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.

Chapter information

Source
Kazuki Hiroe, Hiroshi Kawakami, Akane Nakamura, Hidetaka Sakai, 4-dimensional Painlevé-type equations (Tokyo: The Mathematical Society of Japan, 2018), 113-153

Dates
First available in Project Euclid: 12 December 2018

Permanent link to this document
https://projecteuclid.org/euclid.msjm/1544642049

Digital Object Identifier
doi:10.2969/msjmemoirs/03701C030

Rights
Copyright © 2018, The Mathematical Society of Japan

Citation

Hiroe, Kazuki. Appendix 1. Moduli spaces of meromorphic connections, quiver varieties, and integrable deformations. 4-dimensional Painlevé-type equations, 113--153, The Mathematical Society of Japan, Tokyo, Japan, 2018. doi:10.2969/msjmemoirs/03701C030. https://projecteuclid.org/euclid.msjm/1544642049


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