A Family of GLᵣ Multiplicative Higgs Bundles on Rational Base

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Frassek, R., Pestun, V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210191
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Family of GLᵣ Multiplicative Higgs Bundles on Rational Base / R. Frassek, V. Pestun // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 64 назв. — англ.

In this paper, we study a restricted family of holomorphic symplectic leaves in the Poisson-Lie group GLᵣ(KP¹ₓ) with rational quadratic Sklyanin brackets induced by a one-form with a single quadratic pole at ∞∈ℙ₁. The restriction of the family is that the matrix elements in the defining representati...