References & Citations
Mathematics > Algebraic Geometry
Title: Harmonic Bundles with Symplectic Structures
(Submitted on 23 Mar 2024 (v1), last revised 27 Mar 2024 (this version, v2))
Abstract: 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.
Submission history
From: Takashi Ono [view email][v1] Sat, 23 Mar 2024 04:45:58 GMT (23kb)
[v2] Wed, 27 Mar 2024 02:59:33 GMT (23kb)
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