Studying Deformations of Fuchsian Representations with Higgs Bundles

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Collier, B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210065
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Studying Deformations of Fuchsian Representations with Higgs Bundles / B. Collier // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 34 назв. — англ.

This is a survey article whose main goal is to explain how many components of the character variety of a closed surface are either deformation spaces of representations into the maximal compact subgroup or deformation spaces of certain Fuchsian representations. This latter family is of particular in...