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SYZ Mirror Symmetry of Hitchin's Moduli Spaces Near Singular Fibers I

We study hyperkahler metrics and hyperholomorphic connections of Hitchin's moduli spaces after Gaiotto, Moore and Neitzke. Their construction via the twistor technique produces intricate wall crossing behaviors. For certain four dimensional Hitchin's moduli spaces local models and degeneration to local models near singular fibers of the Hitchin's fibration are understood.

preprint2012arXivOpen access
Wenxuan Lu
math-phmath.MPmath.AGmath.DG
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Open access1 author4 topics
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Wenxuan Lu

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