Autor:	Ono, Takashi
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry 53C07 14J60
Druh dokumentu:	Working Paper
Popis:	We study harmonic bundles with an additional structure called symplectic structure. We study them for the case of the base manifold is compact and non-compact. For the compact case, we show that a harmonic bundle with a symplectic structure is equivalent to principle $Sp(2n,C)$-bundle with a reductive flat connection. For the non-compact case, we show that a polystable good filtered Higgs bundle with a perfect skew-symmetric pairing is equivalent to a good wild harmonic bundle with a symplectic structure. Comment: Comments are welcome! 23 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.15719 Zobrazit plný text záznamu View this record from Arxiv