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math.DG2012★ 1 cited
The second coefficient of the asymptotic expansion of the Bergman kernel of the Hodge-Dolbeault operator
Wen Lu
We calculate the second coefficient of the asymptotic expansion of the Bergman kernel of the Hodge-Dolbeault operator associated to high powers of a Hermitian line bundle with non-…
math.DG2012★ 3 cited
SYZ Mirror Symmetry of Hitchin's Moduli Spaces Near Singular Fibers I
Wenxuan Lu
We study hyperkahler metrics and hyperholomorphic connections of Hitchin's moduli spaces after Gaiotto, Moore and Neitzke. Their construction via the twistor technique produces int…