Good Wild Harmonic Bundles and Good Filtered Higgs Bundles

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• ISSN: 1815-0659
• Main Author: Mochizuki, Takuro
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211355
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Good Wild Harmonic Bundles and Good Filtered Higgs Bundles. Takuro Mochizuki. SIGMA 17 (2021), 068, 66 pages

We prove the Kobayashi-Hitchin correspondence between good wild harmonic bundles and polystable good filtered λ-flat bundles satisfying a vanishing condition. We also study the correspondence for good wild harmonic bundles with the homogeneity with respect to a group action, which is expected to pro...