ON MODULI SPACE OF HIGGS Gp(2n, ℂ)-BUNDLES OVER A RIEMANN SURFACE
2010 ◽
Vol 07
(02)
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pp. 311-322
Keyword(s):
Let X be a compact connected Riemann surface; the holomorphic cotangent bundle of X will be denoted by KX. Let [Formula: see text] denote the moduli space of semistable Higgs Gp (2n, ℂ)-bundles over X of fixed topological type. The complex variety [Formula: see text] has a natural holomorphic symplectic structure. On the other hand, for any ℓ ≥ 1, the Liouville symplectic from on the total space of KX defines a holomorphic symplectic structure on the Hilbert scheme Hilb ℓ(KX) parametrizing the zero-dimensional subschemes of KX. We relate the symplectic form on Hilb ℓ(KX) with the symplectic form on [Formula: see text].
2004 ◽
Vol 15
(09)
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pp. 907-917
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Keyword(s):
1995 ◽
Vol 169
(1)
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pp. 99-119
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2009 ◽
Vol 11
(01)
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pp. 1-26
Keyword(s):
1992 ◽
Vol 145
(3)
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pp. 425-433
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